Texas Instruments TI 84 User Guide

Texas Instruments TI 84 - Graphing Calculator, Programmable Manual

Texas Instruments TI 84 manual table of contents:

  • Texas Instruments TI 84 | User Guide - Page 1
    TI-84 Plus TI-84 Plus Silver Edition Guidebook
  • Texas Instruments TI 84 | User Guide - Page 2
    ... solely on an "as-is" basis. In no event shall Texas Instruments be liable to anyone for special, collateral,..., and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall... materials by any other party. © 2005 Texas Instruments Incorporated Windows and Macintosh...
  • Texas Instruments TI 84 | User Guide - Page 3
    ...connected. Consult the dealer or an experienced radio/television technician for help. Caution: Any changes or modifications to this equipment not expressly approved by Texas Instruments may void your authority to operate the equipment. iii
  • Texas Instruments TI 84 | User Guide - Page 4
    ... the TI-84 Plus Silver Edition Documentation Conventions In the body of this guidebook, TI-84 Plus refers to the TI-84 Plus Silver Edition. Sometimes, as in Chapter 19, the full name TI-84 Plus Silver ... the TI-84 Plus Silver Edition and the TI-84 Plus are the same. The two graphing calculators differ...
  • Texas Instruments TI 84 | User Guide - Page 5
    Scientific - Scientific calculator keys access the capabilities of a standard scientific calculator. TI-84 Plus Graphing Keys Editing Keys Advanced Function Keys Scientific Calculator Keys Chapter 1: Operating the TI-84 Plus Silver Edition 2
  • Texas Instruments TI 84 | User Guide - Page 6
    Using the Color.Coded Keyboard The keys on the TI-84 Plus are color-coded to help you easily locate the key you need. The light colored ... , the letter A is entered. This guidebook describes this keystroke combination as ƒ [A]. Chapter 1: Operating the TI-84 Plus Silver Edition 3
  • Texas Instruments TI 84 | User Guide - Page 7
    ...each key. Turning On and Turning Off the TI-84 Plus Turning On the Graphing Calculator To turn on ...you previously had turned off the graphing calculator by pressing y M, the TI-84 Plus displays the home screen ...you last used it and clears any error. Chapter 1: Operating the TI-84 Plus Silver Edition...
  • Texas Instruments TI 84 | User Guide - Page 8
    ... turned off the graphing calculator, the TI-84 Plus will return exactly as you left it, including the display, cursor, and any error...minutes without any activity. Turning Off the Graphing Calculator To turn off the TI-84 Plus manually, press y M. • • All settings and memory contents are retained ...
  • Texas Instruments TI 84 | User Guide - Page 9
    ...not be able to see the number if contrast is too light or too dark. Note: The TI-84 Plus has 40 contrast settings, so each number 0 through 9 represents four settings. The TI-84 Plus retains the contrast setting in memory when it is turned off. To adjust the ...
  • Texas Instruments TI 84 | User Guide - Page 10
    ...you use the graphing calculator infrequently. The Display Types of Displays The TI-84 Plus displays... screen is the primary screen of the TI-84 Plus. On this screen, enter instructions to execute and... to evaluate. The answers are displayed on the same screen. Chapter 1: Operating the TI-84 Plus Silver...
  • Texas Instruments TI 84 | User Guide - Page 11
    Displaying Entries and Answers When text is displayed, the TI-84 Plus screen can display a maximum of... Answer The mode settings control the way the TI-84 Plus interprets expressions and displays answers... home screen from any other screen, press y 5. Chapter 1: Operating the TI-84 Plus Silver Edition...
  • Texas Instruments TI 84 | User Guide - Page 12
    Busy Indicator When the TI-84 Plus is calculating or graphing, a vertical moving line is displayed as a busy indicator in the top-... underlined # (#). Graphs and editors sometimes display additional cursors, which are described in other chapters. Chapter 1: Operating the TI-84 Plus Silver Edition 9
  • Texas Instruments TI 84 | User Guide - Page 13
    Interchangeable Faceplates The TI-84 Plus Silver Edition has interchangeable faceplates that let you customize the appearance of your unit. ... tab at the bottom edge of the faceplate away from the TI-84 Plus Silver Edition case. 2. Carefully lift the faceplate away from the unit until it releases. Be ...
  • Texas Instruments TI 84 | User Guide - Page 14
    ... Faceplates 1. Align the top of the faceplate in the corresponding grooves of the TI-84 Plus Silver Edition case. 2. Gently click the faceplate into place. Do not force. 3. ... on by default and is accessed from the mode screen. Chapter 1: Operating the TI-84 Plus Silver Edition 11
  • Texas Instruments TI 84 | User Guide - Page 15
    Displaying the Clock Settings 1. Press z 2. Press the
  • Texas Instruments TI 84 | User Guide - Page 16
    7. Press
  • Texas Instruments TI 84 | User Guide - Page 17
    Using the Mode Screen to turn the clock on 1. If the Clock is turned off, Press
  • Texas Instruments TI 84 | User Guide - Page 18
    ... these elements. An expression evaluates to a single answer. On the TI-84 Plus, you enter an expression in the same order as... O, and G. If you enter LOG, the TI-84 Plus interprets the entry as implied multiplication of the variables L, O, and G. Chapter 1: Operating the TI-84 Plus Silver Edition 15
  • Texas Instruments TI 84 | User Guide - Page 19
    ... y D. â is pasted to the cursor location. 3. If the exponent is negative, press Ì, and then enter the exponent, which can be one or two digits. Chapter 1: Operating the TI-84 Plus Silver Edition 16
  • Texas Instruments TI 84 | User Guide - Page 20
    When you enter a number in scientific notation, the TI-84 Plus does not automatically display answers ... first letter of each function is lowercase on the TI-84 Plus. Most functions take at least one ... location of the interruption, select 2:Goto. Chapter 1: Operating the TI-84 Plus Silver Edition 17
  • Texas Instruments TI 84 | User Guide - Page 21
    ...the home screen, press ' or any nongraphing key. To restart graphing, press a graphing key or select a graphing instruction. TI-84 Plus Edit Keys Keystrokes Result Moves the cursor within an expression; these keys repeat. Moves the cursor from ...
  • Texas Instruments TI 84 | User Guide - Page 22
    Keystrokes Result Changes the cursor to Þ; the next keystroke performs a 2nd operation (an operation in blue above a key and to the left); to cancel 2nd, press y again. Changes the cursor to Ø; the next keystroke pastes an alpha character (a character in green above a key and to the right) or ...
  • Texas Instruments TI 84 | User Guide - Page 23
    ... Dot Sequential Simul Real a+bi re^qi Full Horiz G-T Set Clock Numeric notation Number of decimal places Unit of angle measure Type of graphing Whether to connect graph points Whether to plot simultaneously Real, rectangular complex, or polar complex Full screen, two split-screen modes 01/01/01 12:...
  • Texas Instruments TI 84 | User Guide - Page 24
    ...3. Note: If you select Normal notation, but the answer cannot display in 10 digits (or the absolute value is less than .001), the TI-84 Plus expresses the answer in scientific notation. Chapter 1: Operating the TI-84 Plus Silver Edition 21
  • Texas Instruments TI 84 | User Guide - Page 25
    ... model (Chapter 12) Radian, Degree Angle modes control how the TI-84 Plus interprets angle values in trigonometric functions and polar/rectangular conversions... radians. Degree mode interprets angle values as degrees. Answers display in degrees. Chapter 1: Operating the TI-84 Plus Silver Edition 22
  • Texas Instruments TI 84 | User Guide - Page 26
    ...) graphing-order mode evaluates and plots all selected functions for a single value of X and then evaluates and plots them for the next value of X. Chapter 1: Operating the TI-84 Plus Silver Edition 23
  • Texas Instruments TI 84 | User Guide - Page 27
    Note: Regardless of which graphing mode is selected, the TI-84 Plus will sequentially graph all stat plots before it graphs any functions. Real, a+bi, re^... (Chapter 9). Set Clock Use the clock to set the time, date, and clock display formats. Chapter 1: Operating the TI-84 Plus Silver Edition 24
  • Texas Instruments TI 84 | User Guide - Page 28
    ... Names Variables and Defined Items On the TI-84 Plus you can enter and use ..., lists, functions, stat plots, graph databases, graph pictures, and strings. The TI-84 Plus uses assigned names for variables and other ...Pic0 Str1, Str2, ..., Str9, Str0 Chapter 1: Operating the TI-84 Plus Silver Edition 25
  • Texas Instruments TI 84 | User Guide - Page 29
    ...variables created by independent applications. You cannot edit or change variables in AppVars unless you do so through the application which created them. Chapter 1: Operating the TI-84 Plus Silver Edition 26
  • Texas Instruments TI 84 | User Guide - Page 30
    ... to the variable. Displaying a Variable Value To display the value of a variable, enter the name on a blank line on the home screen, and then press Í. Chapter 1: Operating the TI-84 Plus Silver Edition 27
  • Texas Instruments TI 84 | User Guide - Page 31
    ... matrix. Press  to display the VARS menu or  ~ to display the VARS Y-VARS menu; then select the type and then the name of the variable or function. Chapter 1: Operating the TI-84 Plus Silver Edition 28
  • Texas Instruments TI 84 | User Guide - Page 32
    ...expression or execute an instruction, the expression or instruction is placed in a storage area called ENTRY (last entry). When you turn off the TI-84 Plus, ENTRY is retained in memory. Chapter 1: Operating the TI-84 Plus Silver Edition 29
  • Texas Instruments TI 84 | User Guide - Page 33
    ...the last entry is pasted to the line. Because the TI-84 Plus updates ENTRY only when you press... expression. 5Ã7 Í y[ Accessing a Previous Entry The TI-84 Plus retains as many previous entries as... ENTRY storage area. 1 ¿ƒ A Í 2¿ƒ B Í y[ Chapter 1: Operating the TI-84 Plus Silver Edition 30
  • Texas Instruments TI 84 | User Guide - Page 34
    ...y[ Reexecuting the Previous Entry After you have pasted the last entry to the home screen and edited it (if you chose to edit it), you can ...colon, then press Í. All expressions and instructions separated by colons are stored in ENTRY. 0 ¿ƒ N Chapter 1: Operating the TI-84 Plus Silver Edition 31
  • Texas Instruments TI 84 | User Guide - Page 35
    .... Clearing ENTRY Clear Entries (Chapter 18) clears all data that the TI-84 Plus is holding in the ENTRY storage area. Using Ans in an ..., a list, a matrix, or a string. When you turn off the TI-84 Plus, the value in Ans is retained in memory. Chapter 1: Operating the TI-84 Plus Silver Edition 32
  • Texas Instruments TI 84 | User Guide - Page 36
    ...location. When the expression is evaluated, the TI-84 Plus uses the value of Ans in the calculation. Calculate the area of a garden plot 1.7 meters by 4.2 meters. Then calculate the yield per square meter if ...you evaluate another expression. Chapter 1: Operating the TI-84 Plus Silver Edition 33
  • Texas Instruments TI 84 | User Guide - Page 37
    ...meters, and then store the result in the variable V. yB 5 ¡ Í ¯3Ë3 Í ¿ƒ V Í TI-84 Plus Menus Using a ... Plus Menu You can access most TI-84 Plus operations using menus. When you press ...secondary menu or editor when you select it. • • Chapter 1: Operating the TI-84 Plus Silver Edition 34
  • Texas Instruments TI 84 | User Guide - Page 38
    ... the cursor on the first item. Displaying a Menu While using your TI-84 Plus, you often will need to access items from its menus. When you press a...After you select an item from a menu, the screen where you are working usually is displayed again. Chapter 1: Operating the TI-84 Plus Silver Edition 35
  • Texas Instruments TI 84 | User Guide - Page 39
    Moving from One Menu to Another Some keys access more than one menu. When you press such a key, the names of all accessible menus are displayed on the top line. When you highlight a menu name, the items in that menu are displayed. Press ~ and | to highlight each menu name. Scrolling a Menu To ...
  • Texas Instruments TI 84 | User Guide - Page 40
    Selecting an Item from a Menu You can select an item from a menu in either of two ways. • Press the number or letter of the item you want to select. The cursor can be anywhere on the menu, and the item you select need not be displayed on the screen. • Press
  • Texas Instruments TI 84 | User Guide - Page 41
    ... 5:Statistics each access more than one secondary menu. VARS Y-VARS 1: Window...2: Zoom...X/Y, T/q, and U/V/W variables ZX/ZY, ZT/Zq, and ZU variables Chapter 1: Operating the TI-84 Plus Silver Edition 38
  • Texas Instruments TI 84 | User Guide - Page 42
    ... a variable from the VARS or VARS Y-VARS menu, follow these steps. 1. Display the VARS or VARS Y-VARS menu. • Press  to display the VARS menu. 39 Chapter 1: Operating the TI-84 Plus Silver Edition
  • Texas Instruments TI 84 | User Guide - Page 43
    ... the order in which functions in expressions are entered and evaluated on the TI-84 Plus. EOS lets you enter numbers and functions in a ... combinations (nCr) Multiplication, implied multiplication, and division Addition and subtraction 3 4 5 6 Chapter 1: Operating the TI-84 Plus Silver Edition 40
  • Texas Instruments TI 84 | User Guide - Page 44
    ...left to right. Calculations within parentheses are evaluated first. Implied Multiplication The TI-84 Plus ...express multiplication in all cases. For example, the TI-84 Plus interprets 2p, 4sin(46), 5(1+2), and (2...5)7 as implied multiplication. Note: TI-84 Plus implied multiplication rules, although...
  • Texas Instruments TI 84 | User Guide - Page 45
    ...use the negation key. Press Ì and then enter the number. On the TI-84 Plus, negation is in the third level in the EOS hierarchy. Functions in the... an error occurs. If you press ƒ A Ì ƒ B, it is interpreted as implied multiplication (A...MB). Chapter 1: Operating the TI-84 Plus Silver Edition 42
  • Texas Instruments TI 84 | User Guide - Page 46
    ... memory are built into the TI-84 Plus Silver Edition, and .5 M for the TI-84 Plus. About 24 kilobytes (K) of RAM (random access memory) are available for you to ... to user data. For details, refer to: Chapter 18 Chapter 1: Operating the TI-84 Plus Silver Edition 43
  • Texas Instruments TI 84 | User Guide - Page 47
    ...Other TI-84 Plus Features The TI-84 Plus guidebook that is included with your graphing calculator has introduced you to basic TI-84 Plus operations. This guidebook ... features and capabilities of the TI-84 Plus in greater detail. Chapter 1: Operating the TI-84 Plus Silver Edition 44
  • Texas Instruments TI 84 | User Guide - Page 48
    ... the Y= editor), the table, the stat list editor, or the home screen. Also, you can split the screen vertically to display a graph and its table simultaneously. Chapter 1: Operating the TI-84 Plus Silver Edition 45
  • Texas Instruments TI 84 | User Guide - Page 49
    ... regular box-and-whisker plot, or normal probability plot. You can define and store up to three stat plot definitions. For details, refer to: Chapter 12 Chapter 1: Operating the TI-84 Plus Silver Edition 46
  • Texas Instruments TI 84 | User Guide - Page 50
    ... The CATALOG is a convenient, alphabetical list of all functions and instructions on the TI-84 Plus. You can paste any function or instruction from the ...You can enter and store programs that include extensive control and input/output instructions. Chapter 1: Operating the TI-84 Plus Silver Edition 47
  • Texas Instruments TI 84 | User Guide - Page 51
    ...-to-unit cable to connect and communicate with another TI-84 Plus or TI-84 Plus Silver Edition. ...-unit cable to communicate with a TI-84 Plus Silver Edition, a TI-84 Plus, a TI-83 Plus ... also link the TI-84 Plus to a personal computer. Chapter 1: Operating the TI-84 Plus Silver Edition 48...
  • Texas Instruments TI 84 | User Guide - Page 52
    ... 19 Error Conditions Diagnosing an Error The TI-84 Plus detects errors while performing these...Evaluating an expression Executing an instruction Plotting a graph Storing a value When the TI-84 Plus detects ... cursor at or near the error location. Chapter 1: Operating the TI-84 Plus Silver Edition 49
  • Texas Instruments TI 84 | User Guide - Page 53
    ... with the cursor at or near the error location. 3. Determine the error. If you cannot recognize the error, refer to Appendix B. 4. Correct the expression. Chapter 1: Operating the TI-84 Plus Silver Edition 50
  • Texas Instruments TI 84 | User Guide - Page 54
    Chapter 2: Math, Angle, and Test Operations Getting Started: Coin Flip Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to model flipping a fair coin 10 times. You want to track how many of those 10 coin flips result in heads. You want to perform this ...
  • Texas Instruments TI 84 | User Guide - Page 55
    ... list elements may differ from those in the example. Keyboard Math Operations Using Lists with Math Operations Math operations that are valid for lists return a list calculated element by element. If you use two lists in the same expression, they must be the same length. Chapter 2: Math, Angle, ...
  • Texas Instruments TI 84 | User Guide - Page 56
    Addition, Subtraction, Multiplication, Division You can use + (addition, Ã), N (subtraction, ¹), ...(multiplication, ¯), and
  • Texas Instruments TI 84 | User Guide - Page 57
    Power, Square, Square Root You can use ^ (power, ›), 2 (square, ¡), and ‡( (square root, y C) with real and complex numbers, expressions, lists, and matrices. You cannot use ‡( with matrices. value^power È value2 ‡(value) È Inverse You can use L1 (inverse, œ) with real and complex ...
  • Texas Instruments TI 84 | User Guide - Page 58
    ... numbers, expressions, and lists. e^(power) Constant e (constant, y [e]) is stored as a constant on the TI-84 Plus. Press y [e] to copy e to the cursor location. In calculations, the TI-84 Plus uses 2.718281828459 for e. Negation M (negation, Ì) returns the negative...
  • Texas Instruments TI 84 | User Guide - Page 59
    Note: On the TI-84 Plus, the negation symbol (M) is shorter and higher than the subtraction sign (N), which is displayed when you press ¹. Pi p (Pi, y B) is stored as a constant in the TI-84 Plus. In calculations, the TI-84 Plus uses 3.1415926535898 for p. Chapter 2: Math, Angle, and Test ...
  • Texas Instruments TI 84 | User Guide - Page 60
    ... 9: 0: 4Frac 4Dec 3 3 Displays the answer as a fraction. Displays the answer as a decimal. Calculates the cube. ‡( Calculates the cube root. Calculates the xth root. Finds the minimum of a function. Finds the maximum of a function. Computes the numerical derivative. Computes the ...
  • Texas Instruments TI 84 | User Guide - Page 61
    cannot be simplified or the resulting denominator is more than three digits, the decimal equivalent is returned. You can only use 4Frac following value. value 4Frac 4Dec (display as a decimal) displays an answer in decimal form. You can use 4Dec with real or complex numbers, expressions, lists, ...
  • Texas Instruments TI 84 | User Guide - Page 62
    x‡ x (Root) ‡ (xth root) returns the xth root of value. You can use x‡ with real or complex numbers, expressions, and lists. xthrootx‡value fMin(, fMax( fMin( (function minimum) and fMax( (function maximum) return the value at which the local minimum or local maximum value of expression ...
  • Texas Instruments TI 84 | User Guide - Page 63
    ..., the approximation usually becomes more accurate. You can use nDeriv( once in expression. Because of the method used to calculate nDeriv(, the TI-84 Plus can return a false derivative value at a nondifferentiable point. Chapter 2: Math, Angle, and Test ...
  • Texas Instruments TI 84 | User Guide - Page 64
    ... is 1âL5). fnInt( is valid only for real numbers. fnInt(expression,variable,lower,upper[,tolerance]) Note: To speed the drawing of integration graphs (when fnInt( is used in a Y= equation), increase the value of the Xres window variable before you press s. Using the Equation Solver Solver Solver ...
  • Texas Instruments TI 84 | User Guide - Page 65
    Entering an Expression in the Equation Solver To enter an expression in the equation solver, assuming that the variable eqn is empty, follow these steps. 1. Select 0:Solver from the MATH menu to display the equation editor. 2. Enter the expression in any of three ways Enter the expression ...
  • Texas Instruments TI 84 | User Guide - Page 66
    ... such as K=.5MV2, enter eqn:0=KN.5MV2 in the equation editor. Entering and Editing Variable Values When you enter or edit a value for a variable in the interactive solver editor, the new value is stored in memory to that variable. You can enter an expression ...
  • Texas Instruments TI 84 | User Guide - Page 67
    ...stored to eqn, follow these steps. 1. Select 0:Solver from the MATH menu to display the interactive solver editor, if not already displayed. 2. Enter or edit the value of each known variable. All variables, except the unknown variable, must contain a value. To move the cursor to the next variable, ...
  • Texas Instruments TI 84 | User Guide - Page 68
    ...-. The default guess is calculated as 2 4. Edit bound={lower,upper}. lower and upper are the bounds between which the TI-84 Plus searches for a solution. This is optional, but it may help find the solution more quickly. The default is bound={L1â99,1â99...
  • Texas Instruments TI 84 | User Guide - Page 69
    ...the cursor to the variable for which you now want to solve and press ƒ \. Controlling the Solution for Solver or solve( The TI-84 Plus solves equations through an iterative process. To control that process, enter bounds that are relatively close to the solution ...
  • Texas Instruments TI 84 | User Guide - Page 70
    Using solve( on the Home Screen or from a Program The function solve( is available only from CATALOG or from within a program. It returns a solution (root) of expression for variable, given an initial guess, and lower and upper bounds within which the solution is sought. The default for lower is L1n..
  • Texas Instruments TI 84 | User Guide - Page 71
    MATH NUM (Number) Operations MATH NUM Menu To display the MATH NUM menu, press  ~. MATH NUM CPX PRB 1: 2: 3: 4: 5: 6: 7: 8: 9: abs( round( iPart( fPart( int( min( max( lcm( gcd( Absolute value Round Integer part Fractional part Greatest integer Minimum value Maximum value Least common multiple ...
  • Texas Instruments TI 84 | User Guide - Page 72
    Note: abs( is also available on the MATH CPX menu. round( round( returns a number, expression, list, or matrix rounded to #decimals (9). If #decimals is omitted, value is rounded to the digits that are displayed, up to 10 digits. round(value[,#decimals]) iPart(, fPart( iPart( (integer part) ...
  • Texas Instruments TI 84 | User Guide - Page 73
    fPart(value) int( int( (greatest integer) returns the largest integer  real or complex numbers, expressions, lists, and matrices. int(value) Note: For a given value, the result of int( is the same as the result of iPart( for nonnegative numbers and negative integers, but one integer less than ...
  • Texas Instruments TI 84 | User Guide - Page 74
    max( (maximum value) returns the larger of valueA and valueB or the largest element in list. If listA and listB are compared, max( returns a list of the larger of each pair of elements. If list and value are compared, max( compares each element in list with value. min(valueA,valueB) min(list) min(...
  • Texas Instruments TI 84 | User Guide - Page 75
    ...) gcd(valueA,valueB) gcd(listA,listB) gcd(list,value) Entering and Using Complex Numbers Complex-Number Modes The TI-84 Plus displays complex numbers in rectangular form and polar form. To select a complex-number mode, press z, and then select...
  • Texas Instruments TI 84 | User Guide - Page 76
    On the TI-84 Plus, complex numbers can be stored to variables. Also, complex numbers are valid list elements. In ... Versus Degree Mode Radian mode is recommended for complex number calculations. Internally, the TI-84 Plus converts all entered trigonometric values to radians, but it does not convert ...
  • Texas Instruments TI 84 | User Guide - Page 77
    ...numbers in results, including list elements, are displayed in either rectangular or polar form, as specified by the mode setting or by a display conversion instruction. In the example below, polar-complex (re^qi) and Radian modes are set. Rectangular-Complex Mode Rectangular-complex mode recognizes...
  • Texas Instruments TI 84 | User Guide - Page 78
    Polar-Complex Mode Polar-complex mode recognizes and displays a complex number in the form re^qi, where r is the magnitude, e is the base of the natural log, q is the angle, and i is a constant equal to -1 . To enter a complex number in polar form, enter the value of r (magnitude), press y J (...
  • Texas Instruments TI 84 | User Guide - Page 79
    MATH CPX (Complex) Operations MATH CPX Menu To display the MATH CPX menu, press  ~ ~. MATH NUM 1: 2: 3: 4: 5: 6: 7: conj( real( imag( angle( abs( 4Rect 4Polar CPX PRB Returns the complex conjugate. Returns the real part. Returns the imaginary part. Returns the polar angle. Returns the magnitude ...
  • Texas Instruments TI 84 | User Guide - Page 80
    real( real( (real part) returns the real part of a complex number or list of complex numbers. real(a+bi) returns a. real(re^(qi)) returns r
  • Texas Instruments TI 84 | User Guide - Page 81
    angle(a+bi) returns tanL1(b/a). angle(re^(qi)) returns q, where Lp
  • Texas Instruments TI 84 | User Guide - Page 82
    4Polar 4Polar (display as polar) displays a complex result in polar form. It is valid only at the end of an expression. It is not valid if the result is real. complex result8Polar returns re^(qi). MATH PRB (Probability) Operations MATH PRB Menu To display the MATH PRB menu, press  |. MATH NUM ...
  • Texas Instruments TI 84 | User Guide - Page 83
    ... can include rand in an expression. For example, rand5 generates a random number > 0 and < 5. With each rand execution, the TI-84 Plus generates the same random-number sequence for a given seed value. The TI-84 Plus factory-set seed value for rand is 0. To ...
  • Texas Instruments TI 84 | User Guide - Page 84
    nCr (number of combinations) returns the number of combinations of items taken number at a time. items and number must be nonnegative integers. Both items and number can be lists. items nCr number Factorial ! (factorial) returns the factorial of either an integer or a multiple of .5. For a list, ...
  • Texas Instruments TI 84 | User Guide - Page 85
    (The variable n equals value in the syntax description above.) randInt( randInt( (random integer) generates and displays a random integer within a range specified by lower and upper integer bounds. To generate a list of random numbers, specify an integer > 1 for numtrials (number of trials); if not...
  • Texas Instruments TI 84 | User Guide - Page 86
    ... numbers, specify an integer > 1 for numsimulations (number of simulations); if not specified, the default is 1. randBin(numtrials,prob[,numsimulations]) Note: The seed value stored to rand also affects randInt(, randNorm(, and randBin( instructions. Chapter 2: Math, Angle, and Test Operations 83
  • Texas Instruments TI 84 | User Guide - Page 87
    ...Menu To display the ANGLE menu, press y ;. The ANGLE menu displays angle indicators and instructions. The Radian/Degree mode setting affects the TI-84 Plus's interpretation of ANGLE menu entries. ANGLE 1: 2: 3: 4: 5: 6: 7: 8: ¡ ' r...
  • Texas Instruments TI 84 | User Guide - Page 88
    ... enter for 30 degrees, 1 minute, 23 seconds. If the angle mode is not set to Degree, you must use ¡ so that the TI-84 Plus can interpret the argument as degrees, minutes, and seconds. Degree mode Radian mode Degree ¡ (degree) designates an angle or ...
  • Texas Instruments TI 84 | User Guide - Page 89
    valuer Degree mode 8DMS 8DMS (degree/minute/second) displays answer in DMS format. The mode setting must be Degree for answer to be interpreted as degrees, minutes, and seconds. 8DMS is valid only at the end of a line. answer8DMS R8Pr (, R8Pq( , P8Rx(, P8Ry( R8Pr( converts rectangular coordinates...
  • Texas Instruments TI 84 | User Guide - Page 90
    R8Pr(x,y), R8Pq(x,y) Note: Radian mode is set. P8Rx( converts polar coordinates to rectangular coordinates and returns x. P8Ry( converts polar coordinates to rectangular coordinates and returns y. r and q can be lists. P8Rx(r,q), P8Ry(r,q) Note: Radian mode is set. Chapter 2: Math, Angle, and ...
  • Texas Instruments TI 84 | User Guide - Page 91
    TEST (Relational) Operations TEST Menu To display the TEST menu, press y :. This operator...Returns 1 (true) if... TEST 1: = 2: ƒ 3: > 4: , 5: < 6:  LOGIC Equal Not equal to Greater than Greater than or equal to Less than Less than or equal to Relational operators compare valueA and ...
  • Texas Instruments TI 84 | User Guide - Page 92
    ... functions according to EOS rules (Chapter 1). • • The expression 2+2=2+3 returns 0. The TI-84 Plus performs the addition first because of EOS rules, and then it compares 4 to 5. The expression 2+(2=2)+3 returns 6. The TI-84 Plus performs the relational test first because it is in ...
  • Texas Instruments TI 84 | User Guide - Page 93
    ... The value is zero (false). 4: not( Boolean Operators Boolean operators are often used in programs to control program flow and in graphing to control the graph of the function over specific values. Values are interpreted as zero (false) or nonzero (true...
  • Texas Instruments TI 84 | User Guide - Page 94
    ... 1 if value (which can be an expression) is 0. not(value) Using Boolean Operations Boolean logic is often used with relational tests. In the following program, the instructions store 4 into C. Chapter 2: Math, Angle, and Test Operations 91
  • Texas Instruments TI 84 | User Guide - Page 95
    ... expression Y=‡(100NX 2), which defines the top half of the circle. The expression Y=L‡(100NX 2) defines the bottom half of the circle. On the TI-84 Plus, you can define one function in terms of another. To define Y2=LY1, press Ì to enter the negation...
  • Texas Instruments TI 84 | User Guide - Page 96
    ...for Xmin, Xmax, Ymin, and Ymax. Defining Graphs TI-84 Plus-Graphing Mode Similarities Chapter 3 specifically describes function ..., but the steps shown here are similar for each TI-84 Plus graphing mode. Chapters 4, 5, and 6 describe aspects that are unique to parametric graphing, polar graphing, and...
  • Texas Instruments TI 84 | User Guide - Page 97
    ... and Exploring a Graph After you have defined a graph, press s to display it. Explore the behavior of the function or functions using the TI-84 Plus tools described in this chapter. Saving a Graph for Later Use You can store the elements that define the current ...
  • Texas Instruments TI 84 | User Guide - Page 98
    ... functions, you must select Func mode before you enter values for the window variables and before you enter the functions. The TI-84 Plus has four graphing modes Func (function graphing) Par (parametric graphing; Chapter 4) Pol (polar graphing; ...
  • Texas Instruments TI 84 | User Guide - Page 99
    ...0123456789 (fixed) decimal mode affects displayed graph coordinates. Radian or Degree angle mode ...affects plotting of selected functions. Sequential or Simul graphing-order mode affects function plotting ...one function is selected. Setting Modes from a Program To set the graphing mode and other modes ...
  • Texas Instruments TI 84 | User Guide - Page 100
    Defining or Editing a Function To define or edit a function, follow these steps. 1. Press o to display the Y= editor. 2. Press
  • Texas Instruments TI 84 | User Guide - Page 101
    ... editor. 5. Press Í to complete the instruction. "expression"!Yn When the instruction is executed, the TI-84 Plus stores the expression to the designated variable Yn, selects the function, and displays the message Done. Evaluating Y= ...
  • Texas Instruments TI 84 | User Guide - Page 102
    ... a Function You can select and deselect (turn on and turn off) a function in the Y= editor. A function is selected when the = sign is highlighted. The TI-84 Plus graphs only the selected functions. You can select any or all functions Y1 through Y9, and Y0. To ...
  • Texas Instruments TI 84 | User Guide - Page 103
    ... and Deselecting Functions from the Home Screen or a Program To select or deselect a function from the home screen ... to turn off one or more functions. The instruction you select is copied to the cursor location.... enter two or more numbers, separate them with commas. Chapter 3: Function Graphing 100...
  • Texas Instruments TI 84 | User Guide - Page 104
    ...editor, and then turns on Y1 and Y3. Setting Graph Styles for Functions MATH ...graphing. Use the styles to visually differentiate functions to be graphed together. For example, you can set ...solid line connects plotted points; this is the default in Connected mode ç Chapter 3: Function Graphing 101
  • Texas Instruments TI 84 | User Guide - Page 105
    ... connects plotted points Shading covers the area above the graph Shading covers the area below the graph A circular cursor traces the leading edge of the graph and draws a path A circular cursor ... plotted point; this is the default in Dot mode Note: Some graph styles are not available in all ...
  • Texas Instruments TI 84 | User Guide - Page 106
    5. Press ~, }, or
  • Texas Instruments TI 84 | User Guide - Page 107
    ... member of the family of curves. Setting a Graph Style from a Program To set the graph style from a program, select H:GraphStyle( from the PRGM ... To display this menu, press  while in the program editor. function# is the number of the Y= function name in the current graphing mode. graphstyle# is ...
  • Texas Instruments TI 84 | User Guide - Page 108
    Setting the Viewing Window Variables The TI-84 Plus Viewing Window The viewing window is the portion of the coordinate plane defined by Xmin, Xmax, Ymin, and Ymax. Xscl (X scale) defines the distance between tick marks on the x-axis. Yscl (Y scale) defines ...
  • Texas Instruments TI 84 | User Guide - Page 109
    Note: Small Xres values improve graph resolution but may cause the TI-84 Plus to draw graphs more slowly. Changing a Window Variable Value To change a window variable value from the window editor, follow these steps. 1. Press
  • Texas Instruments TI 84 | User Guide - Page 110
    ... current cursor location. 6. Press Í to complete the instruction. When the instruction is executed, the TI-84 Plus stores the value to the window variable and displays the value. @X...@Y. If you do, Xmax and Ymax are calculated from @X, Xmin, @Y, and Ymin. Chapter 3: Function Graphing...
  • Texas Instruments TI 84 | User Guide - Page 111
    Setting the Graph Format Displaying the Format Settings To display the format settings, press y .. The default ... display on or off. Format settings define a graph's appearance on the display. Format settings apply... modes. Seq graphing mode has an additional mode setting (Chapter 6). Changing a Format...
  • Texas Instruments TI 84 | User Guide - Page 112
    ... the cursor location as rectangular coordinates X and Y. PolarGC (polar graphing coordinates) displays the cursor location as polar coordinates R ..., CoordOff CoordOn (coordinates on) displays the cursor coordinates at the bottom of the graph. If ExprOff format is selected, the function number is ...
  • Texas Instruments TI 84 | User Guide - Page 113
    ... to stat plots. When ExprOn is selected, the expression is displayed in the top-left corner of the graph screen. When ExprOff and CoordOn both are selected, the number in the top-right corner specifies which function is being traced. Chapter 3: Function Graphing 110
  • Texas Instruments TI 84 | User Guide - Page 114
    ..., press s. TRACE, ZOOM instructions, and CALC operations display the graph automatically. As the TI-84 Plus plots the graph, the busy indicator is on. As... since the graph was last displayed, the TI-84 Plus will replot the graph based on new values when you press s Changed ...
  • Texas Instruments TI 84 | User Guide - Page 115
    ... setting Cleared drawings by selecting ClrDraw Changed a stat plot definition Overlaying Functions on a Graph On the TI-84 Plus, you can graph one or ... enter a list (Chapter 11) as an element in an expression, the TI-84 Plus plots the function for each value in the list,...
  • Texas Instruments TI 84 | User Guide - Page 116
    {2,4,6}sin(X) graphs three functions: 2 sin(X), 4 sin(X), and 6 sin(X). {2,4,6}sin({1,2,3}X) graphs 2 sin(X), 4 sin(2X), and 6 sin(3X) . Note: When using more than one list, the lists must have the same dimensions. Exploring Graphs with the Free-Moving Cursor Free-Moving Cursor When a graph is ...
  • Texas Instruments TI 84 | User Guide - Page 117
    As you move the cursor around the graph, the coordinate values of the cursor location are displayed at the bottom of the screen if CoordOn ...setting determines the number of decimal digits displayed for the coordinate values. To display the graph with no cursor and no coordinate values, press ' or Í....
  • Texas Instruments TI 84 | User Guide - Page 118
    Exploring Graphs with TRACE Beginning a Trace Use TRACE to move the cursor from one plotted point to the next along a function. To begin a trace, press r. If the graph is not displayed already, press r to display it. The trace cursor is on the first selected ...
  • Texas Instruments TI 84 | User Guide - Page 119
    Trace cursor on the curve If you move the trace cursor beyond the top or bottom of the screen, the coordinate values at the bottom of the screen continue to change appropriately. Moving the Trace Cursor from Function to Function To move the trace cursor from function to function, press
  • Texas Instruments TI 84 | User Guide - Page 120
    ...allows panning up and down. After Quick Zoom, the cursor remains in TRACE. Leaving and Returning to TRACE When you leave and return to TRACE, the trace cursor is displayed in the same location it was in when you left TRACE, unless Smart Graph has replotted the graph. Chapter 3: Function Graphing 117
  • Texas Instruments TI 84 | User Guide - Page 121
    ...The instruction Trace is pasted to the cursor location. When the instruction is encountered during program execution, the graph is displayed with the trace cursor on ... finish tracing the functions, press Í to resume program execution. Exploring Graphs with the ZOOM Instructions ZOOM Menu To display...
  • Texas Instruments TI 84 | User Guide - Page 122
    ... XMin and XMax. 6: ZStandard 7: ZTrig 8: ZInteger 9: ZoomStat 0: ZoomFit Zoom Cursor When you select 1:ZBox, 2:Zoom In, or 3:Zoom Out, the cursor on the graph becomes the zoom cursor (+), a smaller version of the free-moving cursor (+). ZBox To define a new viewing window using ZBox, follow these ...
  • Texas Instruments TI 84 | User Guide - Page 123
    ... menu. The zoom cursor is displayed. 3. Move the zoom cursor to the point that is to be the center of the new viewing window. 4. Press Í. The TI-83 Plus adjusts the viewing window by XFact and YFact; updates the window variables; and replots the selected functions, ...
  • Texas Instruments TI 84 | User Guide - Page 124
    ... window, and then press Í. To zoom out on a graph, select 3:Zoom Out and repeat steps ... only one direction so that @X=@Y, which makes the graph of a circle look like a circle. Xscl and Yscl remain unchanged. The midpoint of the current graph (not the intersection of the axes) becomes the midpoint ...
  • Texas Instruments TI 84 | User Guide - Page 125
    ZStandard ZStandard replots the functions immediately. It updates the window variables to the standard values shown below. Xmin=L10 Xmax=10 Xscl=1 Ymin=L10 Ymax=10 Yscl=1 Xres=1 ZTrig ZTrig replots the functions immediately. It updates the window variables to preset values that are appropriate ...
  • Texas Instruments TI 84 | User Guide - Page 126
    ... ZOOM MEMORY Menu To display the ZOOM MEMORY menu, press q ~. ZOOM MEMORY Uses the previous viewing window. Stores the user-defined window. Recalls the user-defined window. Changes Zoom In and Zoom Out factors. 1: ZPrevious 2: ZoomSto 3: ZoomRcl 4: SetFactors... Chapter 3: Function Graphing 123
  • Texas Instruments TI 84 | User Guide - Page 127
    ... the graph using the window variables of the graph that was displayed before you executed the last ZOOM instruction. ZoomSto ZoomSto immediately ...by the values stored with the ZoomSto instruction. The window variables are updated with the user-defined values, and the graph is plotted. ZOOM FACTORS ...
  • Texas Instruments TI 84 | User Guide - Page 128
    ...home screen or a program, you can store directly to any of the user-defined ZOOM variables. From a program, you can select the ZoomSto and ZoomRcl instructions from the ZOOM MEMORY menu. Chapter 3: Function Graphing 125
  • Texas Instruments TI 84 | User Guide - Page 129
    ...the CALCULATE menu, press y /. Use the items on this menu to analyze the current graph functions. CALCULATE 1: 2: 3: 4: 5: 6: 7: value zero minimum maximum intersect dy/dx ‰f(x)dx Calculates a function Y value for a given X. Finds a zero (x-intercept) of a function. ...
  • Texas Instruments TI 84 | User Guide - Page 130
    1. Select 1:value from the CALCULATE menu. The graph is displayed with X= in the bottom-left corner. 2. Enter a real value, which can be an expression, for X between Xmin and Xmax. 3. Press Í. The cursor is on the first selected function in the Y= editor at the ...
  • Texas Instruments TI 84 | User Guide - Page 131
    1. Select 2:zero from the CALCULATE menu. The current graph is displayed with Left Bound? in the bottom-left corner. 2. Press } or
  • Texas Instruments TI 84 | User Guide - Page 132
    ...specified interval to a tolerance of 1âL5. To find a minimum or maximum, follow these steps. 1. Select 3:minimum or 4:maximum from the CALCULATE menu. The current graph is displayed. 2. Select the function and set left bound, right bound, and guess ...
  • Texas Instruments TI 84 | User Guide - Page 133
    2. Press
  • Texas Instruments TI 84 | User Guide - Page 134
    3. Press | or ~ (or enter a value) to select the X value at which to calculate the derivative, and then press Í. The cursor is on the solution and the numerical derivative is displayed. To move to the same x-value for other selected functions, press } or
  • Texas Instruments TI 84 | User Guide - Page 135
    ... and upper limits as you would set left and right bounds for zero. The integral value is displayed, and the integrated area is shaded. Note: The shaded area is a drawing. Use ClrDraw (Chapter 8) or any action that invokes Smart Graph to clear the shaded area. Chapter 3: Function Graphing 132
  • Texas Instruments TI 84 | User Guide - Page 136
    ... Started is a fast-paced introduction. Read the chapter for details. Graph the parametric equation that describes the path of a ball hit at an initial ... -2 The vertical and horizontal vectors of the ball's motion also will be graphed. Vertical vector: Horizontal vector: Gravity constant: X2(t)=0 X3...
  • Texas Instruments TI 84 | User Guide - Page 137
    1. Press z. Press to select Par mode. Press to select Simul for simultaneous graphing of all three parametric equations in this example. 2. Press o. Press 30 „ ... the VARS Y-VARS menu. Press 2 to display the PARAMETRIC secondary menu. Press 2 Í to define Y2T. Chapter 4: Parametric Graphing 134
  • Texas Instruments TI 84 | User Guide - Page 138
    ... X3T. Press 0 Í to define Y3T. 7. Press | | } Í to change the graph style to è for X3T and Y3T. ... style to ë for X2T and Y2T. Press } Í Í to change the graph style to ë for X1T and Y1T. (These keystrokes assume that all graph styles were set to ç originally.) 8. Press p. Enter these values ...
  • Texas Instruments TI 84 | User Guide - Page 139
    ... X (distance), Y (height), and T (time) are displayed at the bottom of the screen. Defining and Displaying Parametric Graphs TI-84 Plus Graphing Mode Similarities The steps for defining a parametric graph are similar to the steps for defining a function graph. ...
  • Texas Instruments TI 84 | User Guide - Page 140
    ...select Par graphing mode before you enter window variables and before you ... the Parametric Y= Editor After selecting Par graphing mode, press o to display the parametric Y= editor....terms of the independent variable T. A common application of parametric graphs is graphing equations over time. Selecting...
  • Texas Instruments TI 84 | User Guide - Page 141
    ... Y, define a single parametric equation. You must define both of them. Selecting and Deselecting Parametric Equations The TI-84 Plus graphs only the selected parametric equations. In the Y= editor, a parametric equation is selected when the = signs of both the...
  • Texas Instruments TI 84 | User Guide - Page 142
    Setting Window Variables To display the window variable values, press p. These variables define the viewing window. The values below are defaults for Par graphing in Radian angle mode. Tmin=0 Tmax=6.2831853...Tstep=.1308996...Xmin=L10 Xmax=10 Xscl=1 Ymin=L10 Ymax=10 Yscl=1 Smallest T value to ...
  • Texas Instruments TI 84 | User Guide - Page 143
    Displaying a Graph When you press s, the TI-84 Plus plots the selected parametric equations. It evaluates the X and Y components for each value of T (from ... are updated. Smart Graph applies to parametric graphs. Window Variables and Y.VARS Menus You can perform these actions from the ...
  • Texas Instruments TI 84 | User Guide - Page 144
    ... values directly to window variables. Exploring Parametric Graphs Free-Moving Cursor The free-moving ...graphing works the same as in Func graphing. In RectGC format, moving the cursor updates the values of X and ... can move the trace cursor along the graph of the equation one Tstep at a time. When you ...
  • Texas Instruments TI 84 | User Guide - Page 145
    ... CoordOn format is selected, R, q, and T are displayed. The X and Y (or R and q) values are calculated from T. To move five plotted points at a time on a function, ... screen continue to change appropriately. Quick Zoom is available in Par graphing; panning is not. Moving the Trace Cursor to Any Valid ...
  • Texas Instruments TI 84 | User Guide - Page 146
    .../Zq items 1:ZTmin, 2:ZTmax, and 3:ZTstep are the zoom memory variables for Par graphing. CALC CALC operations in Par graphing work the same as in Func graphing. The CALCULATE menu items available in Par graphing are 1:value, 2:dy/dx, 3:dy/dt, and 4:dx/dt. Chapter 4:...
  • Texas Instruments TI 84 | User Guide - Page 147
    ... the MODE screen. Press to select Pol graphing mode. Select the defaults (the options on the left) ... 8 ˜ 2.5 „ ¤ Í to define r1. 3. Press q 6 to select 6:ZStandard and graph the equation in the standard viewing window. The graph shows only five petals of the rose, and the rose does not appear ...
  • Texas Instruments TI 84 | User Guide - Page 148
    4. Press p to display the window variables. Press
  • Texas Instruments TI 84 | User Guide - Page 149
    ... the Polar Y= Editor After selecting Pol graphing mode, press o to display the polar Y= editor.... is defined in terms of the independent variable q. Selecting Graph Styles The icons to the left of r1 through ... of each polar equation. The default in Pol graphing mode is ç (line), which connects plotted...
  • Texas Instruments TI 84 | User Guide - Page 150
    ...enter the polar variable q in either of two ways. • • Press „. Press ƒ [q]. Selecting and Deselecting Polar Equations The TI-84 Plus graphs only the selected polar equations. In the Y= editor, a polar equation is selected when the = sign is highlighted....
  • Texas Instruments TI 84 | User Guide - Page 151
    ... format settings in detail. The other graphing modes share these format settings. Displaying a Graph When you press s, the TI-84 Plus plots the selected polar equations. It evaluates R for each value of q (from qmin to qmax in intervals of qstep) and then ...
  • Texas Instruments TI 84 | User Guide - Page 152
    ... and Y.VARS Menus You can perform these actions from the home screen or a program. • Access functions by using the name of the equation as a variable. • Store ... equations. • Select or deselect polar equations. • Store values directly to window variables. Chapter 5: Polar Graphing 149
  • Texas Instruments TI 84 | User Guide - Page 153
    ... Graphs Free-Moving Cursor The free-moving cursor in Pol graphing works the same as in Func graphing... you can move the trace cursor along the graph of the equation one qstep at a time. When you begin...change appropriately. Quick Zoom is available in Pol graphing mode; panning is not. Chapter 5: Polar ...
  • Texas Instruments TI 84 | User Guide - Page 154
    ...Zq items 4:Zqmin, 5:Zqmax, and 6:Zqstep are zoom memory variables for Pol graphing. CALC CALC operations in Pol graphing work the same as in Func graphing. The CALCULATE menu items available in Pol graphing are 1:value, 2:dy/dx, and 3:dr/dq. Chapter 5: Polar Graphing...
  • Texas Instruments TI 84 | User Guide - Page 155
    Chapter 6: Sequence Graphing Getting Started: Forest and Trees Note: Getting Started is a fast-paced introduction...years and with how many trees? 1. Press z. Press to select Seq graphing mode. 2. Press y . and select Time axes format and ExprOn format if necessary. Chapter 6: Sequence Graphing 152
  • Texas Instruments TI 84 | User Guide - Page 156
    3. Press o. If the graph-style icon is not ç (dot), press | |, press Í until ç is displayed, and then press ~ ~. 4. Press  ~ 3 to select iPart( (integer part) because only whole trees are harvested. After each annual harvest, 80 percent (.80) of the trees remain. Press Ë 8 y [u] £ „ ¹ 1 ...
  • Texas Instruments TI 84 | User Guide - Page 157
    Defining and Displaying Sequence Graphs TI-84 Plus Graphing Mode Similarities The steps for defining a...in Simul mode, regardless of the current plottingorder mode setting. TI-84 Plus Sequence Functions u, v, and w The TI-84 Plus has three sequence functions that you can enter from the keyboard: u, v,...
  • Texas Instruments TI 84 | User Guide - Page 158
    ... editor, you can display and enter sequences for u(n), v(n), and w(n). Also, you can edit the value for nMin, which is the sequence window variable that defines the minimum n...u(nMin), v(nMin), or w(nMin) only with a recursive sequence, which requires an initial value. Chapter 6: Sequence Graphing 155
  • Texas Instruments TI 84 | User Guide - Page 159
    ... are available for sequence graphing. Graph styles are ignored in Web format. Selecting and Deselecting Sequence Functions The TI-84 Plus graphs only the selected sequence functions. In the Y= editor, a sequence function is selected when the = signs of both u(n)=...
  • Texas Instruments TI 84 | User Guide - Page 160
    ... equation above returns the sequence 2, 4, 6, 8, 10, ...for n = 1, 2, 3, 4, 5, ...Note: You may leave blank the initial value u(nMin) when calculating nonrecursive sequences. Chapter 6: Sequence Graphing 157
  • Texas Instruments TI 84 | User Guide - Page 161
    ...without first calculating u(1), u(2), u(3), and u(4). Using an initial value u(nMin) = 1, the sequence above returns 1, 2, 4, 8, 16, ...Note: On the TI-84 Plus, you must type each character of the terms. For example, to enter u(nN1), press y [u Recursive sequences ...
  • Texas Instruments TI 84 | User Guide - Page 162
    ...These variables define the viewing window. The values below are defaults for Seq graphing in both Radian and Degree angle modes. nMin=1 nMax=...n value to evaluate First term number to be plotted Incremental n value (for graphing only) Smallest X value to be displayed Chapter 6: Sequence Graphing 159
  • Texas Instruments TI 84 | User Guide - Page 163
    ... does not affect sequence evaluation; it only designates which points are plotted on the graph. If you specify PlotStep=2, the sequence is evaluated at each consecutive integer, but it is plotted on the graph only at every other integer. Chapter 6: Sequence Graphing 160
  • Texas Instruments TI 84 | User Guide - Page 164
    Selecting Axes Combinations Setting the Graph Format To display the current graph format settings, press ...Chapter 3 describes the format settings in detail. The other graphing modes share these format settings....display on or off Setting Axes Format For sequence graphing, you can select from five axes...
  • Texas Instruments TI 84 | User Guide - Page 165
    ...u(n) y-axis v(n) w(n) w(n) Displaying a Sequence Graph To plot the selected sequence functions, press s. As a graph is plotted, the TI-84 Plus updates X, Y, and n. Smart Graph applies to sequence graphs (Chapter 3). Exploring Sequence Graphs Free-Moving Cursor ...
  • Texas Instruments TI 84 | User Guide - Page 166
    ...To move the trace cursor to any valid n value on the current function, enter the number. When you enter the first digit, an n= prompt and the number you entered are displayed in the bottom-left corner of the screen. You can enter an expression at the n= prompt. The Chapter 6: Sequence Graphing 163
  • Texas Instruments TI 84 | User Guide - Page 167
    ..., press Í to move the cursor. ZOOM ZOOM operations in Seq graphing work the same as in Func ... 1 through 7 are the ZOOM MEMORY variables for Seq graphing. CALC The only CALC operation available... draws the web and displays Y (the u(n) value) for a specified n value. Chapter 6: Sequence Graphing 164...
  • Texas Instruments TI 84 | User Guide - Page 168
    ... You can evaluate these names in any of three ways Calculate the nth value in a sequence. Calculate a list of values in a sequence. Generate a sequence with u(nstart,nstop[,nstep]). nstep is optional; ... Web axes format, press y . ~ Í. A web plot graphs u(n) versus u(nN1), which you can use...
  • Texas Instruments TI 84 | User Guide - Page 169
    ... reference any defined sequence except itself. Displaying the Graph Screen In Web format, press s to display the graph screen. The TI-84 Plus: • • Draws a y=x reference line in AxesOn format. Plots the selected sequences with u(nN1) as the independent variable....
  • Texas Instruments TI 84 | User Guide - Page 170
    ...: Convergence 1. Press o in Seq mode to display the sequence Y= editor. Make sure the graph style is set to í (dot), and then define nMin, u(n) and u(nMin) as...25 PlotStart=1 PlotStep=1 Xmin=0 Xmax=25 Xscl=1 Ymin=L10 Ymax=10 Yscl=1 4. Press s to graph the sequence. Chapter 6: Sequence Graphing 167
  • Texas Instruments TI 84 | User Guide - Page 171
    ... 6. Press p and change the variables below. Xmin=L10 Xmax=10 7. Press s to graph the sequence. 8. Press r, and then press ~ to draw the web. The displayed ... remains the same, and the cursor moves to the y=x reference line. This pattern repeats as you trace the web. Chapter 6: Sequence Graphing 168
  • Texas Instruments TI 84 | User Guide - Page 172
    Graphing Phase Plots Graphing with uv, vw, and uw The phase-plot axes settings uv, vw, and uw show relationships between two sequences. To ...R M K = = = number of rabbits rabbit population growth rate without foxes rabbit population death rate with foxes (.05) (.001) Chapter 6: Sequence Graphing 169
  • Texas Instruments TI 84 | User Guide - Page 173
    ...(1+GR nN1ND) (.0002) (.03) 1. Press o in Seq mode to display the sequence Y= editor. Define the sequences and initial values for Rn and Wn as shown below. Enter the sequence Rn as u(n) and enter the sequence Wn as v(n). 2. Press y . Í to select Time axes format. Chapter 6: Sequence Graphing 170
  • Texas Instruments TI 84 | User Guide - Page 174
    ...=1 Xmin=0 Xmax=400 Xscl=100 Ymin=0 Ymax=300 Yscl=100 4. Press s to graph the sequence. 5. Press r ~ to individually trace the number of rabbits (u(n)) and foxes (v(n)) ... to a specific n value (month) while in TRACE. 6. Press y . ~ ~ Í to select uv axes format. Chapter 6: Sequence Graphing 171
  • Texas Instruments TI 84 | User Guide - Page 175
    7. Press p and change these variables as shown below. Xmin=84 Xmax=237 Xscl=50 Ymin=25 Ymax=75 Yscl=10 8. Press r. Trace both the number of rabbits (X) and the number of foxes (Y) through 400 generations. Note: When you press r, the equation for u is displayed in the top-left corner. Press } or
  • Texas Instruments TI 84 | User Guide - Page 176
    ... not available Keystroke Differences Between TI-84 Plus and TI-82 Sequence Keystroke Changes Refer to the table if you are familiar with the TI-82. It compares TI-84 Plus sequencename syntax and ...-82 sequence-name syntax and variable syntax. TI-84 Plus / TI-82 n/n u(n) / Un On TI-...
  • Texas Instruments TI 84 | User Guide - Page 177
    TI-84 Plus / TI-82 v(n) / Vn w(n) u(nN1) / UnN1 v(nN1) / VnN1 w(nN1) On TI-84 Plus, press: On TI-82, press: y [v] £„¤ y [w] £„¤ y [u] £„¹À¤ y [v] £„¹À¤ y [w] £„¹À¤ y ó ¶¦Á not available yõ yö not available Chapter 6: Sequence Graphing 174
  • Texas Instruments TI 84 | User Guide - Page 178
    .... Evaluate the function Y = X3 N 2X at each integer between L10 and 10. How many sign changes occur, and at what X values? 1. Press z to set Func graphing mode. 2. Press o. Press „  3 to select 3. Then press ¹ 2 „ to enter the function Y1=X3N2X. 3. Press y - to display the TABLE SETUP ...
  • Texas Instruments TI 84 | User Guide - Page 179
    Press Í to select Indpnt: Auto (automatically generated independent values). Press
  • Texas Instruments TI 84 | User Guide - Page 180
    ...-variable columns. The table is empty; when you enter a value for the independent variable, all corresponding dependent-variable values are calculated and displayed automatically. Values are displayed automatically for the independent variable; to generate a value for a dependent variable, move the ...
  • Texas Instruments TI 84 | User Guide - Page 181
    ... Par mode, you must define both components of each parametric equation (Chapter 4). Editing Dependent Variables from the Table Editor To edit a selected Y= function from the table editor, follow these steps. 1. Press y 0 to display the table, then press ~ or ...
  • Texas Instruments TI 84 | User Guide - Page 182
    3. Press Í. The cursor moves to the bottom line. Edit the function. 4. Press Í or
  • Texas Instruments TI 84 | User Guide - Page 183
    ... in the first column Dependent-variable values in the second and third columns Current cell's full value Independent and Dependent Variables The current graphing mode determines which independent and dependent variables are displayed in the table (Chapter 1). In the table above, for example, the ...
  • Texas Instruments TI 84 | User Guide - Page 184
    ... Y1 and Y2 are displayed because Func graphing mode is set. Independent Variable Graphing Mode Func (function) Par (parametric) Pol (polar) Seq (sequence) X T Dependent ... the Table from the Home Screen or a Program From the home screen, select the ClrTable instruction from the CATALOG. To clear the ...
  • Texas Instruments TI 84 | User Guide - Page 185
    ...first two selected Y= functions are displayed initially. Press ~ or | to display dependent variables defined by other selected Y= functions. The independent variable always remains in the left column, except during a trace with Par graphing mode and G-T split-screen mode set. Chapter 7: Tables 182
  • Texas Instruments TI 84 | User Guide - Page 186
    Note: To simultaneously display two dependent variables on the table that are not defined as consecutive Y= functions, go to the Y= editor and deselect the Y= functions between the two you want to display. For example, to simultaneously display Y4 and Y7 on the table, go to the Y= editor and ...
  • Texas Instruments TI 84 | User Guide - Page 187
    Chapter 8: Draw Instructions Getting Started: Drawing a Tangent Line Getting Started is a fast-paced introduction. Read the chapter for details... Press ˜ „ ¤ to store sin(X) in Y1. 2. Press q 7 to select 7:ZTrig, which graphs the equation in the Zoom Trig window. Chapter 8: Draw Instructions 184
  • Texas Instruments TI 84 | User Guide - Page 188
    3. Press y < 5 to select 5:Tangent(. The tangent instruction is initiated. 4. Press y C 2 ¤ ¥ 2. 5. Press Í. The tangent line is drawn; the X value and the tangent-line equation are displayed on the graph. Chapter 8: Draw Instructions 185
  • Texas Instruments TI 84 | User Guide - Page 189
    Using the DRAW Menu DRAW Menu To display the DRAW menu, press y
  • Texas Instruments TI 84 | User Guide - Page 190
    ...Change the format settings on the format screen. Enter or edit functions in the Y= editor. Select or deselect functions ...graph again. Drawing on a Graph You can use any DRAW menu instructions except ... execute these instructions from the home screen or from within a program. If a graph is not displayed...
  • Texas Instruments TI 84 | User Guide - Page 191
    ..., lines, and shading drawn on a graph with DRAW instructions are temporary. To clear drawings from the currently... elements. Clearing Drawings from the Home Screen or a Program To clear drawings on a graph from the home screen... display the graph again, all drawn points, lines, circles, and shaded areas...
  • Texas Instruments TI 84 | User Guide - Page 192
    Drawing Line Segments Drawing a Line Segment Directly on a Graph To draw a line segment when a graph is displayed, follow these steps. 1. Select 2:Line( from the DRAW menu. 2. Place the cursor on ...X1,Y1) and (X2,Y2). The values may be entered as expressions. Chapter 8: Draw Instructions 189
  • Texas Instruments TI 84 | User Guide - Page 193
    ...Horizontal and Vertical Lines Drawing a Line Directly on a Graph To draw a horizontal or vertical line when a graph is displayed, follow these steps. 1. Select 3:Horizontal or 4:Vertical from the DRAW menu. A line...) through which you want the drawn line to pass. Chapter 8: Draw Instructions 190...
  • Texas Instruments TI 84 | User Guide - Page 194
    ... a list. Horizontal y Vertical (vertical line) draws a vertical line at X=x. x can be an expression but not a list. Vertical x To instruct the TI-84 Plus to draw more than one horizontal or vertical line, separate each instruction with a colon ( : ). ...
  • Texas Instruments TI 84 | User Guide - Page 195
    Drawing Tangent Lines Drawing a Tangent Line Directly on a Graph To draw a tangent line when a graph is displayed, follow these steps. 1. Select 5:Tangent( from the DRAW menu. 2. Press
  • Texas Instruments TI 84 | User Guide - Page 196
    ...displayed for X and the equation for Y. Drawing a Tangent Line from the Home Screen or a Program Tangent( (tangent line) draws a line tangent to expression in terms .... X can be an expression. expression is interpreted as being in Func mode. Tangent(expression,value) Chapter 8: Draw Instructions 193
  • Texas Instruments TI 84 | User Guide - Page 197
    ... function) draws expression as a function in terms of X on the current graph. When you select 6:DrawF from the DRAW menu, the TI-84 Plus returns to the home screen or the ... on the x-axis. When you select 8:DrawInv from the DRAW menu, the TI-84 Plus returns to the home screen or the ...
  • Texas Instruments TI 84 | User Guide - Page 198
    ... family of curves. Shading Areas on a Graph Shading a Graph To shade an area on a graph, select 7:Shade( from the DRAW menu. The instruction is pasted to the home screen or to the program editor. Shade( draws lowerfunc and upperfunc in terms of X ...
  • Texas Instruments TI 84 | User Guide - Page 199
    ... every pixel (default) shades every second pixel shades every third pixel shades every fourth pixel shades every fifth pixel shades every sixth pixel shades every seventh pixel shades every eighth pixel Shade(lowerfunc,upperfunc[,Xleft,Xright,pattern,patres]) Chapter 8: Draw Instructions 196
  • Texas Instruments TI 84 | User Guide - Page 200
    ... Directly on a Graph To draw a circle directly on a displayed graph using the cursor, follow these steps. 1. Select 9:Circle( from the ... 3. Move the cursor to a point on the circumference. Press Í to draw the circle on the graph. Note: This circle is displayed as circular, regardless of the window ...
  • Texas Instruments TI 84 | User Guide - Page 201
    ... begin. 3. Enter the characters. Press ƒ or y 7 to enter letters and q. You may enter TI-84 Plus functions, variables, and instructions. The font is proportional, so the exact number of characters you can place on the graph varies. As you type...
  • Texas Instruments TI 84 | User Guide - Page 202
    ... the current graph the characters comprising value, which can include TI-84 Plus functions and instructions. The top-left corner of ... be text enclosed in quotation marks ( " ), or it can be an expression. The TI-84 Plus will evaluate an expression and display the result ...
  • Texas Instruments TI 84 | User Guide - Page 203
    ...cannot execute Pen from the home screen or a program. To draw on a displayed graph, follow these steps.... As you move the cursor, you draw on the graph, shading one pixel at a time. 4. Press... of the selected function. Note: To continue drawing on the graph, move the cursor to a new position where you...
  • Texas Instruments TI 84 | User Guide - Page 204
    Drawing Points on a Graph DRAW POINTS Menu To display the DRAW POINTS menu, press y < ~. The TI-84 Plus's interpretation of these instructions depends on whether you accessed this menu from the home screen or the program editor or directly from a graph. DRAW ...
  • Texas Instruments TI 84 | User Guide - Page 205
    ...PtPt-Off( To erase (turn off) a drawn point on a graph, follow these steps. 1. Select 2:Pt-Off(...with PtPt-Change( To change (toggle on or off) a point on a graph, follow these steps. 1. Select 3:Pt-Change(... points, repeat steps 2 and 3. To cancel Pt-Change(, press '. Chapter 8: Draw Instructions 202
  • Texas Instruments TI 84 | User Guide - Page 206
    ... Plus Pixels A pixel is a square dot on the TI-84 Plus display. The Pxl- (pixel) instructions let you turn on, turn ...the cursor. When you select a pixel instruction from the DRAW POINTS menu, the TI-84 Plus returns to the home screen or the program editor. The pixel instructions are not interactive. ...
  • Texas Instruments TI 84 | User Guide - Page 207
    ... test) returns 1 if the pixel at (row,column) is turned on or 0 if the pixel is turned off on the current graph. row must be an integer between 0 and 62. column must be an integer between 0 and 94. pxl-Test(row,column) Chapter 8: Draw Instructions 204
  • Texas Instruments TI 84 | User Guide - Page 208
    ... (Pic) DRAW STO Menu To display the DRAW STO menu, press y < |. When you select an instruction from the DRAW STO menu, the TI-84 Plus returns to the home screen or the program editor. The picture and graph database instructions are not interactive. DRAW ...
  • Texas Instruments TI 84 | User Guide - Page 209
    ...(from 1 to 9, or 0) of the picture variable to which you want to store the picture. For example, if you enter 3, the TI-84 Plus will store the picture to Pic3. Note: You also can select a variable from the PICTURE secondary menu ( 4). The variable ...
  • Texas Instruments TI 84 | User Guide - Page 210
    ...(from 1 to 9, or 0) of the picture variable from which you want to recall a picture. For example, if you enter 3, the TI-84 Plus will recall the picture stored to Pic3. Note: You also can select a variable from the PICTURE secondary menu ( 4). The...
  • Texas Instruments TI 84 | User Guide - Page 211
    ... 1 to 9, or 0) of the GDB variable to which you want to store the graph database. For example, if you enter 7, the TI-84 Plus will store the GDB to GDB7. Note: You also can select a variable from the GDB secondary menu ( 3). The variable is ...
  • Texas Instruments TI 84 | User Guide - Page 212
    ... to recall a GDB. For example, if you enter 7, the TI-84 Plus will recall the GDB stored to GDB7. Note: You ... RecallGDB. 3. Press Í to replace the current GDB with the recalled GDB. The new graph is not plotted. The TI-84 Plus changes the graphing mode automatically, if necessary. Deleting a Graph...
  • Texas Instruments TI 84 | User Guide - Page 213
    Chapter 8: Draw Instructions 210
  • Texas Instruments TI 84 | User Guide - Page 214
    Chapter 9: Split Screen Getting Started: Exploring the Unit Circle Getting Started is a fast-paced introduction. Read the chapter for details. Use G-T (graph-table) split-screen mode to explore the unit circle and its relationship to the numeric values for the commonly used trigonometric angles of ...
  • Texas Instruments TI 84 | User Guide - Page 215
    3. Press o to display the Y= editor for Par graphing mode. Press to store cos(T) to X1T. Press to store sin(T) to Y1T. 4. ... Tstep=15 Xscl=1 Ymin=L2.5 Ymax=2.5 Yscl=1 5. Press r. On the left, the unit circle is graphed parametrically in Degree mode and the trace cursor is activated. When T=0 (from...
  • Texas Instruments TI 84 | User Guide - Page 216
    ... the next-to-last line on the mode screen. • • Select Horiz (horizontal) to display the graph screen and another screen split horizontally. Select G-T (graph-table) to display the graph screen and table screen split vertically. $ $ The split screen is...
  • Texas Instruments TI 84 | User Guide - Page 217
    If stat plots are turned on, the plots are shown along with the x-y plots in graphs. Press y 0 to make the table portion of the split screen active and to display the list data. Press
  • Texas Instruments TI 84 | User Guide - Page 218
    ...Split Screen Horiz Mode In Horiz (horizontal) split-screen mode, a horizontal line splits the screen into top and bottom halves. The top half displays the graph. The bottom half displays any of these editors Home screen (four lines) Y= editor (four lines) Stat list editor (two rows) Window editor ...
  • Texas Instruments TI 84 | User Guide - Page 219
    ... a full screen when in Horiz mode, press any key or key combination that displays the graph, home screen, Y= editor, stat list editor, window editor, or table editor. G-T (Graph-Table) Split Screen G-T Mode In G-T (graph-table) split-screen mode, a vertical line splits the screen into left and ...
  • Texas Instruments TI 84 | User Guide - Page 220
    The left half displays all active graphs and plots. The right half displays either table ...at the right are list data, these values can be edited similarly to using the Stat List Editor. Using ... As you press | or ~ to move the trace cursor along a graph in the split screen's left half in G-T mode, the ...
  • Texas Instruments TI 84 | User Guide - Page 221
    .... To return to the G-T split screen from a full screen when in G-T mode, press any key or key combination that displays the graph or the table. TI-84 Plus Pixels in Horiz and G-T Modes TI-84 Plus Pixels in Horiz and G-T Modes Chapter 9: Split Screen 218
  • Texas Instruments TI 84 | User Guide - Page 222
    ..., which is turned on. DRAW POINTS Menu Pixel Instructions For Pxl-On(, Pxl-Off(, Pxl-Change(, ...(row,column) DRAW Menu Text( Instruction For the Text( instruction: • • In Horiz mode, row must ...,"text") PRGM I/O Menu Output( Instruction For the Output( instruction: • • In Horiz mode, row must ...
  • Texas Instruments TI 84 | User Guide - Page 223
    .... 1. Press z while the cursor is on a blank line in the program editor. 2. Select Horiz or G-T. The instruction is pasted to the cursor location. The mode is set when the instruction is encountered during program execution. It remains in effect after execution. Note: ...
  • Texas Instruments TI 84 | User Guide - Page 224
    ... Started is a fast-paced introduction. Read the chapter for details. Find the solution of X + 2Y + 3Z = 3 and 2X + 3Y + 4Z = 3. On the TI-84 Plus, you can solve a system of linear equations by entering the coefficients as elements in a matrix, and then using rref( to...
  • Texas Instruments TI 84 | User Guide - Page 225
    ...-dimensional array. You can display, define, or edit a matrix in the matrix editor. The TI-84 Plus has 10 matrix variables, [A] through [J]. You can define a... memory, may have up to 99 rows or columns. You can store only real numbers in TI-84 Plus matrices. Chapter 10: Matrices 222
  • Texas Instruments TI 84 | User Guide - Page 226
    ... follow these steps. 1. Press y  | to display the MATRX EDIT menu. The dimensions of any previously defined ... the matrix you want to define. The MATRX EDIT screen is displayed. Accepting or Changing Matrix ... or change the dimensions each time you edit a matrix. When you select a matrix to define, ...
  • Texas Instruments TI 84 | User Guide - Page 227
    ... press Í, the rectangular cursor moves to the first matrix element. Viewing and Editing Matrix Elements Displaying Matrix Elements After you have set the .... In a new matrix, all values are zero. Select the matrix from the MATRX EDIT menu and enter or accept the dimensions. The center portion of the...
  • Texas Instruments TI 84 | User Guide - Page 228
    ... Viewing a Matrix The matrix editor has two contexts, viewing and editing. In viewing context, you can use the cursor keys to move ... of the highlighted element is displayed on the bottom line. Select the matrix from the MATRX EDIT menu, and then enter or accept the dimensions. Viewing-Context Keys ...
  • Texas Instruments TI 84 | User Guide - Page 229
    ... context; clears the value on the bottom line Switches to editing context; clears the value on the bottom line;...character to the bottom line Nothing Nothing Í ' Any entry character y6 { Editing a Matrix Element ... these steps. 1. Select the matrix from the MATRX EDIT menu, and then enter or accept ...
  • Texas Instruments TI 84 | User Guide - Page 230
    5. Press Í, }, or
  • Texas Instruments TI 84 | User Guide - Page 231
    ...contents of the matrix into the expression with y K (Chapter 1). Enter the matrix directly (see below). Entering a Matrix in an Expression You can enter, edit, and store a matrix in the matrix editor. You also can enter a matrix directly in an expression. To enter a matrix in an expression, follow ...
  • Texas Instruments TI 84 | User Guide - Page 232
    6. Press y [ ] ] to indicate the end of the matrix. Note: The closing ]] are not necessary at the end of an expression or preceding !. The resulting matrix is displayed in the form: [[element1,1,...,element1,n],...,[elementm,1,...,elementm,n]] Any expressions are evaluated when the entry is ...
  • Texas Instruments TI 84 | User Guide - Page 233
    ... to copy the existing matrix. 5. Press Í to copy the matrix to the new matrix name. Accessing a Matrix Element On the home screen or from within a program, you can store a value to, or recall a value from, a matrix element. The element must be within the currently defined matrix dimensions. Select...
  • Texas Instruments TI 84 | User Guide - Page 234
    ...](row,column) Using Math Functions with Matrices Using Math Functions with Matrices You can use many of the math functions on the TI-84 Plus keyboard, the MATH menu, the MATH NUM menu, and the MATH TEST menu with matrices. However, the dimensions ...
  • Texas Instruments TI 84 | User Guide - Page 235
    matrixA...matrixB Multiplying a matrix by a value or a value by a matrix returns a matrix in which each element of matrix is multiplied by value. matrix...value value...matrix Negation Negating a matrix (Ì) returns a matrix in which the sign of every element is changed (reversed). Lmatrix ...
  • Texas Instruments TI 84 | User Guide - Page 236
    abs( abs( (absolute value, MATH NUM menu) returns a matrix containing the absolute value of each element of matrix. abs(matrix) round( round( (MATH NUM menu) returns a matrix. It rounds every element in matrix to #decimals ( 9). If #decimals is omitted, the elements are rounded to 10 digits. ...
  • Texas Instruments TI 84 | User Guide - Page 237
    matrixL 1 Powers To raise a matrix to a power, matrix must be square. You can use 2 (¡), 3 (MATH menu), or ^power (›) for integer power between 0 and 255. matrix2 matrix3 matrix^power Relational Operations To compare two matrices using the relational operations = and ƒ (TEST menu), they must...
  • Texas Instruments TI 84 | User Guide - Page 238
    matrixA=matrixB returns 1 if every comparison is true; it returns 0 if any comparison is false. matrixAƒmatrixB returns 1 if at least one comparison is false; it returns 0 if no comparison is false. iPart(, fPart(, int( iPart( (integer part), fPart( (fractional part), and int( (greatest integer...
  • Texas Instruments TI 84 | User Guide - Page 239
    ...(matrix) Using the MATRX MATH Operations MATRX MATH Menu To display the MATRX MATH menu, press y  ~. NAMES MATH EDIT Calculates the determinant. Transposes the matrix. Returns the matrix dimensions. Fills all elements with a constant. Returns the identity matrix. ...
  • Texas Instruments TI 84 | User Guide - Page 240
    NAMES MATH EDIT Stores a list to a matrix. Returns the cumulative sums of a matrix. Returns the row-echelon form of a matrix. Returns the reduced row-echelon form. Swaps two rows of a matrix. Adds two rows; stores in the second row. Multiplies the row by a number. Multiplies the row, adds to the ...
  • Texas Instruments TI 84 | User Guide - Page 241
    matrixT Accessing Matrix Dimensions with dim( dim( (dimension) returns a list containing the dimensions ({rows columns}) of matrix. dim(matrix) Note: dim(matrix)"Ln:Ln(1) returns the number of rows. dim(matrix)"Ln:Ln(2) returns the number of columns. Creating a Matrix with dim( Use dim( with ¿ ...
  • Texas Instruments TI 84 | User Guide - Page 242
    Redimensioning a Matrix with dim( Use dim( with ¿ to redimension an existing matrixname to dimensions rows × columns. The elements in the old matrixname that are within the new dimensions are not changed. Additional created elements are zeros. Matrix elements that are outside the new dimensions ...
  • Texas Instruments TI 84 | User Guide - Page 243
    identity(dimension) randM( randM( (create random matrix) returns a rows × columns random matrix of integers , L9 and  9. The seed value stored to the rand function controls the values (Chapter 2). randM(rows,columns) augment( augment( appends matrixA to matrixB as new columns. matrixA and ...
  • Texas Instruments TI 84 | User Guide - Page 244
    Matr4list( (matrix stored to list) fills each listname with elements from each column in matrix. Matr4list( ignores extra listname arguments. Likewise, Matr4list( ignores extra matrix columns. Matr4list(matrix,listnameA,...,listname n) Matr4list( also fills a listname with elements from a ...
  • Texas Instruments TI 84 | User Guide - Page 245
    List4matr(listA,...,list n,matrixname) cumSum( cumSum( returns cumulative sums of the elements in matrix, starting with the first element. Each element is the cumulative sum of the column from top to bottom. cumSum(matrix) Row Operations MATRX MATH menu items A through F are row operations. You ...
  • Texas Instruments TI 84 | User Guide - Page 246
    ref(, rref( ref( (row-echelon form) returns the row-echelon form of a real matrix. The number of columns must be greater than or equal to the number of rows. ref(matrix) rref( (reduced row-echelon form) returns the reduced row-echelon form of a real matrix. The number of columns must be greater ...
  • Texas Instruments TI 84 | User Guide - Page 247
    row+( row+( (row addition) returns a matrix. It adds rowA and rowB of matrix and stores the results in rowB. row+(matrix,rowA,rowB) ...row( ...row( (row multiplication) returns a matrix. It multiplies row of matrix by value and stores the results in row...row(value,matrix,row) ...row+( ...row+( (...
  • Texas Instruments TI 84 | User Guide - Page 248
    ...row+(value,matrix,rowA,rowB) Chapter 10: Matrices 245
  • Texas Instruments TI 84 | User Guide - Page 249
    Chapter 11: Lists Getting Started: Generating a Sequence Getting Started is a fast-paced introduction. Read the chapter for details. Calculate the first eight terms of the sequence 1/A2. Store the results to a user-created list. Then display the results in fraction form. Begin this example on a ...
  • Texas Instruments TI 84 | User Guide - Page 250
    ...Press ~ repeatedly (or press and hold ~) to scroll the list and view all the list elements. Naming Lists Using TI-84 Plus List Names L1 L1 through L6 L6 The TI-84 Plus has six list names in memory: L1, L2, L3, L4, L5, and L6. The list names L1 through L6 ...
  • Texas Instruments TI 84 | User Guide - Page 251
    Creating a List Name on the Home Screen To create a list name on the home screen, follow these steps. 1. Press y E, enter one or more list elements, and then press y F. Separate list elements with commas. List elements can be real numbers, complex numbers, or expressions. 2. Press ¿. 3. Press ƒ ...
  • Texas Instruments TI 84 | User Guide - Page 252
    ...: prompt in the inferential stat editors On the home screen using SetUpEditor You can create as many list names as your TI-84 Plus memory has space to store. Storing and Displaying Lists Storing Elements to a List You can store list elements in ...
  • Texas Instruments TI 84 | User Guide - Page 253
    Displaying a List on the Home Screen To display the elements of a list on the home screen, enter the name of the list (preceded by Ù, if necessary, and then press Í. An ellipsis indicates that the list continues beyond the viewing window. Press ~ repeatedly (or press and hold ~) to scroll the ...
  • Texas Instruments TI 84 | User Guide - Page 254
    ... L6. Removing a list from the stat list editor does not delete it from memory. Using Lists in Graphing You can use lists to graph a family of curves (Chapter 3). Entering List Names Using the LIST NAMES Menu To display the LIST NAMES menu, press y ...
  • Texas Instruments TI 84 | User Guide - Page 255
    Note: From the top of a menu, press } to move to the bottom. From the bottom, press
  • Texas Instruments TI 84 | User Guide - Page 256
    ... list to which the formula is attached is updated automatically. • • When you edit an element of a list that is referenced in the formula, the corresponding element in the list to which the formula is attached is updated. When you edit the formula itself, all elements in the list to which the...
  • Texas Instruments TI 84 | User Guide - Page 257
    ... formula is not attached to L4. On the next line, L6!L3(1):L3 changes the first element in L3 to L6, and then redisplays L3. The last screen shows that editing L3 updated ÙADD10, but did not change L4. This is because the formula L3+10 is attached to ÙADD10, but it is not attached to L4. Note: ...
  • Texas Instruments TI 84 | User Guide - Page 258
    ... dimension. 2. Press ¿. 3. Enter the name of the list to which you want to attach the formula Press y, and then enter a TI-84 Plus list name L1 through L6. Press y 9 and select a user.created list name from the LIST NAMES menu. Enter a user....
  • Texas Instruments TI 84 | User Guide - Page 259
    ... a Formula from a List You can detach (clear) an attached formula from a list in several ways. For example Enter ã ã !listname on the home screen. Edit any element of a list to which a formula is attached. Use the stat list editor (Chapter 12). Use ClrList or ClrAllList to detach a formula from a...
  • Texas Instruments TI 84 | User Guide - Page 260
    ... with a function, the function must be valid for every element in the list. In graphing, an invalid element, such as L1 in ‡({1,0,L1}), is ignored. This returns an error. This graphs X...‡(1) and X...‡(0), but skips X...‡(L1). • When you use two lists with a two-...
  • Texas Instruments TI 84 | User Guide - Page 261
    • When you use a list and a value with a two-argument function, the value is used with each element in the list. LIST OPS Menu LIST OPS Menu To display the LIST OPS menu, press y 9 ~. NAMES OPS MATH 1: 2: 3: 4: 5: 6: 7: SortA( SortD( dim( Fill( seq( cumSum( @List( Sorts lists in ascending order...
  • Texas Instruments TI 84 | User Guide - Page 262
    NAMES OPS MATH 8: 9: 0: A: B: Select( augment( Selects specific data points. Concatenates two lists. List4matr( Stores a list to a matrix. Matr4list( Stores a matrix to a list. Ù Designates the list-name data type. SortA(, SortD( SortA( (sort ascending) sorts list elements from low to high ...
  • Texas Instruments TI 84 | User Guide - Page 263
    ... 5 becomes the second element of L4, and likewise, 1 becomes the second element of L5. SortA( and SortD( are the same as SortA( and SortD( on the STAT EDIT menu (Chapter 12). • Using dim( to Find List Dimensions dim( (dimension) returns the length (number of elements) of list. dim(list) Chapter...
  • Texas Instruments TI 84 | User Guide - Page 264
    Using dim( to Create a List You can use dim( with ¿ to create a new listname with dimension length from 1 to 999. The elements are zeros. length!dim(listname) Using dim( to Redimension a List You can use dim with ¿ to redimension an existing listname to dimension length from 1 to 999 The ...
  • Texas Instruments TI 84 | User Guide - Page 265
    Fill( Fill( replaces each element in listname with value. Fill(value,listname) Note: dim( and Fill( are the same as dim( and Fill( on the MATRX MATH menu (Chapter 10). seq( seq( (sequence) returns a list in which each element is the result of the evaluation of expression with regard to variable ...
  • Texas Instruments TI 84 | User Guide - Page 266
    cumSum( cumSum( (cumulative sum) returns the cumulative sums of the elements in list, starting with the first element. list elements can be real or complex numbers. cumSum(list) @List( @List( returns a list containing the differences between consecutive elements in list. @List subtracts the first ...
  • Texas Instruments TI 84 | User Guide - Page 267
    example, you can use Select( to select and then analyze a portion of plotted CBL 2™/CBL™ or CBR™ data. Select(xlistname,ylistname) Note: Before you use Select(, you must have selected (turned on) a scatter plot or xyLine plot. Also, the plot must be displayed in the current viewing window. ...
  • Texas Instruments TI 84 | User Guide - Page 268
    2. Enter xlistname, press ¢, enter ylistname, and then press ¤ to designate list names into which you want the selected data to be stored. 3. Press Í. The graph screen is displayed with Left Bound? in the bottom-left corner. 4. Press } or
  • Texas Instruments TI 84 | User Guide - Page 269
    7. Press | or ~ to move the cursor to the stat plot point that you want for the right bound, and then press Í. The x-values and y-values of the selected points are stored in xlistname and ylistname. A new stat plot of xlistname and ylistname replaces the stat plot from which you selected data ...
  • Texas Instruments TI 84 | User Guide - Page 270
    augment( augment( concatenates the elements of listA and listB. The list elements can be real or complex numbers. augment(listA,listB) List4matr( List4matr( (lists stored to matrix) fills matrixname column by column with the elements from each list. If the dimensions of all lists are not equal, ...
  • Texas Instruments TI 84 | User Guide - Page 271
    Matr4list( (matrix stored to lists) fills each listname with elements from each column in matrix. If the number of listname arguments exceeds the number of columns in matrix, then Matr4list( ignores extra listname arguments. Likewise, if the number of columns in matrix exceeds the number of ...
  • Texas Instruments TI 84 | User Guide - Page 272
    ... a user-created list name where other input is valid, for example, on the home screen. Without the Ù, the TI-84 Plus may misinterpret a user-created list name as ... plot editor. If you enter Ù where it is not necessary, the TI-84 Plus will ignore the entry. LIST MATH Menu LIST MATH ...
  • Texas Instruments TI 84 | User Guide - Page 273
    min(, max( min( (minimum) and max( (maximum) return the smallest or largest element of listA. If two lists are compared, it returns a list of the smaller or larger of each pair of elements in listA and listB. For a complex list, the element with smallest or largest magnitude (modulus) is returned....
  • Texas Instruments TI 84 | User Guide - Page 274
    sum(, prod( sum( (summation) returns the sum of the elements in list. start and end are optional; they specify a range of elements. list elements can be real or complex numbers. prod( returns the product of all elements of list. start and end elements are optional; they specify a range of list ...
  • Texas Instruments TI 84 | User Guide - Page 275
    stdDev(, variance( stdDev( returns the standard deviation of the elements in list. The default value for freqlist is 1. Each freqlist element counts the number of consecutive occurrences of the corresponding element in list. Complex lists are not valid. • variance( returns the variance of the ...
  • Texas Instruments TI 84 | User Guide - Page 276
    ... quoted and adapted from Contemporary Precalculus Through Applications, by the North Carolina School of Science and Mathematics, by permission of Janson Publications, Inc., Dedham, MA. 1-800-322-MATH. © 1992. All rights reserved. 1. Press z to set Func graphing mode. Chapter 12: Statistics 273
  • Texas Instruments TI 84 | User Guide - Page 277
    ...stores lists L1 through L6 in columns 1 through 6. Note: Removing lists from the stat list editor does not delete them from memory. 3. Press ...1 to select 1:Edit from the STAT EDIT menu. The stat list editor is displayed. If elements are stored in L1 and L2, press } to move the cursor onto L1, and...
  • Texas Instruments TI 84 | User Guide - Page 278
    6. Press o to display the Y= editor. If necessary, press ' to clear the function Y1. As necessary, press }, Í, and ~ to turn off Plot1, Plot2, and Plot3 from the top line of the Y= editor (Chapter 3). As necessary, press
  • Texas Instruments TI 84 | User Guide - Page 279
    ... execute LinReg(ax+b). The linear regression for the data in L1 and L2 is calculated. Values for a and b are displayed on the home screen. The linear regression equation is stored in Y1. Residuals are calculated and stored automatically in the list name RESID, which becomes an ...
  • Texas Instruments TI 84 | User Guide - Page 280
    ... line appears to fit the central portion of the scatter plot well. However, a residual plot may provide more information about this fit. 14. Press ...1 to select 1:Edit. The stat list editor is displayed. Press ~ and } to move the cursor onto L3. Press y 6. An unnamed column is displayed in column ...
  • Texas Instruments TI 84 | User Guide - Page 281
    Notice that the first three residuals are negative. They correspond to the shortest pendulum string lengths in L1. The next five residuals are positive, and three of the last four are negative. The latter correspond to the longer string lengths in L1. Plotting the residuals will show this pattern ...
  • Texas Instruments TI 84 | User Guide - Page 282
    Notice the pattern of the residuals: a group of negative residuals, then a group of positive residuals, and then another group of negative residuals. The residual pattern indicates a curvature associated with this data set for which the linear model did not account. The residual plot emphasizes a ...
  • Texas Instruments TI 84 | User Guide - Page 283
    ... to calculate the power regression. Values for a and b are displayed on the home screen. The power regression equation is stored in Y1. Residuals are calculated and stored automatically in the list name RESID. 26. Press s. The regression line and the scatter plot are displayed. The new function y=....
  • Texas Instruments TI 84 | User Guide - Page 284
    The new residual plot shows that the residuals are random in sign, with the residuals increasing in magnitude as the string length increases. To see the magnitudes of the residuals, continue with these steps. 29. Press r. Press ~ and | to trace the data. Observe the values for Y at each point. With...
  • Texas Instruments TI 84 | User Guide - Page 285
    ... to Store Data Data for statistical analyses is stored in lists, which you can create and edit using the stat list editor. The TI-84 Plus has six list variables in memory, L1 through L6, to which you Chapter 12: Statistics 282
  • Texas Instruments TI 84 | User Guide - Page 286
    ... lists. 2. Plot the data. 3. Calculate the statistical variables or fit a model to the data. 4. Graph the regression equation for... list editor is a table where you can store, edit, and view up to 20 lists that...editor, press ..., and then select 1:Edit from the STAT EDIT menu. Chapter 12: Statistics ...
  • Texas Instruments TI 84 | User Guide - Page 287
    The top line displays list names. L1 through L6 are stored in columns 1 through 6 after a memory reset. The number of the current column is displayed in the top-right corner. The bottom line is the entry line. All data entry occurs on this line. The characteristics of this line change according to ...
  • Texas Instruments TI 84 | User Guide - Page 288
    2. Enter a valid list name in any of four ways Select a name from the LIST NAMES menu (Chapter 11). Enter L1, L2, L3, L4, L5, or L6 from the keyboard. Enter an existing user-created list name directly from the keyboard. Enter a new user-created list name. 3. Press Í or
  • Texas Instruments TI 84 | User Guide - Page 289
    To begin entering, scrolling, or editing list elements, press
  • Texas Instruments TI 84 | User Guide - Page 290
    Removing a List from the Stat List Editor To remove a list from the stat list editor, move the cursor onto the list name and then press {. The list is not deleted from memory; it is only removed from the stat list editor. Notes: • To delete a list name from memory, use the MEMORY MANAGEMENT/...
  • Texas Instruments TI 84 | User Guide - Page 291
    ... you enter the first character, the current value is cleared automatically. 3. Edit the element in the entry line. Press ~ to move the cursor to the ...to delete, and then press { to delete the character. • To cancel any editing and restore the original element at the rectangular cursor, press ' ...
  • Texas Instruments TI 84 | User Guide - Page 292
    Note: You can enter expressions and variables for elements. 4. Press Í, }, or
  • Texas Instruments TI 84 | User Guide - Page 293
    ... ããä. Note: If you do not use quotation marks, the TI-84 Plus calculates and displays the same initial list of answers, ... Any user-created list name referenced in a formula must be preceded by an Ù symbol (Chapter 11). 5. Press Í. The TI-84 Plus calculates each list element and stores it to the...
  • Texas Instruments TI 84 | User Guide - Page 294
    ... Lists Are Displayed When you edit an element of a list referenced in an attached formula, the TI-84 Plus updates the corresponding element ... stat list editor and you edit or enter elements of another displayed list, then the TI-84 Plus takes slightly longer to accept each edit or entry than when no ...
  • Texas Instruments TI 84 | User Guide - Page 295
    ... you do not want to clear the formula, you can select 1:Quit, display the referenced list on the home screen, and find and edit the source of the error. To edit an element of a list on the home screen, store the new value to listname(element#) (Chapter 11). • Detaching Formulas from List Names ...
  • Texas Instruments TI 84 | User Guide - Page 296
    ... one way to detach a formula from a list name is to edit an element of the list to which the formula is attached. The TI-84 Plus protects against inadvertently detaching the formula from the list name by editing an element of the formula-generated list. Because...
  • Texas Instruments TI 84 | User Guide - Page 297
    ... contexts View-elements context View-names context Edit-elements context Enter-name context The stat ... To switch through the four contexts, select 1:Edit from the STAT EDIT menu and follow these steps. ... other stat list editor columns. 2. Press Í. You are now in edit-elements context. You may edit ...
  • Texas Instruments TI 84 | User Guide - Page 298
    4. Press Í again. You are now in edit-elements context. You may edit the current element in the entry line. 5. Press } until the cursor is on a list name, then press y 6. You are now in enter-name context. 6. Press '. You are now in view-names context. 7. Press
  • Texas Instruments TI 84 | User Guide - Page 299
    To page down the list six elements, press ƒ
  • Texas Instruments TI 84 | User Guide - Page 300
    • When you switch to edit-elements context from view-names context, the full values of all elements in ... list elements continue beyond the screen. You can press ~ and | to edit any element in the list. Note: In edit-elements context, you can attach a formula to a list name only if you switched ...
  • Texas Instruments TI 84 | User Guide - Page 301
    Enter-Name Context In enter-name context, the Name= prompt is displayed in the entry line, and alpha-lock is on. At the Name= prompt, you can create a new list name, paste a list name from L1 to L6 from the keyboard, or paste an existing list name from the LIST NAMES menu (Chapter 11). The Ù ...
  • Texas Instruments TI 84 | User Guide - Page 302
    STAT EDIT Menu STAT EDIT Menu To display the STAT EDIT menu, press ...EDIT CALC TESTS Displays the stat list editor. Sorts a list in... elements of a list. Stores specified lists in the stat list editor. 1: Edit...2: SortA( 3: SortD( 4: ClrList 5: SetUpEditor Note: Chapter 13: Inferential Statistics ...
  • Texas Instruments TI 84 | User Guide - Page 303
    keylistname. This lets you sort two-variable data on X and keep the data pairs together. All lists must have the same dimension. The sorted lists are updated in memory. SortA(listname) SortD(listname) SortA(keylistname,dependlist1[,dependlist2,...,dependlist n]) SortD(keylistname,dependlist1[,...
  • Texas Instruments TI 84 | User Guide - Page 304
    SetUpEditor With SetUpEditor you can set up the stat list editor to display one or more listnames in the order that you specify. You can specify zero to 20 listnames. Additionally, if you want to use listnames which happen to be archived, the SetUp Editor will automatically unarchive the listnames ...
  • Texas Instruments TI 84 | User Guide - Page 305
    Restoring L1 L1 through L6 L6 to the Stat List Editor SetUpEditor with no listnames removes all list names from the stat list editor and restores list names L1 through L6 in the stat list editor columns 1 through 6. Regression Model Features Regression Model Features STAT CALC menu items 3 through...
  • Texas Instruments TI 84 | User Guide - Page 306
    The TI-84 Plus uses the formula below to compute RESID list elements. The next section describes the variable ... Y= function is selected. Regardless of whether you specify a Y= variable for regequ, the regression equation always is stored to the TI-84 Plus variable RegEQ, which is item 1 on the VARS ...
  • Texas Instruments TI 84 | User Guide - Page 307
    ...to a small number could affect the accuracy of the fit. Diagnostics Display Mode When you execute some regression models, the TI-84 Plus computes and stores diagnostics values for r (correlation coefficient) and r2 (coefficient of determination) or for R2...
  • Texas Instruments TI 84 | User Guide - Page 308
    ... set the diagnostics display mode by executing the DiagnosticOn or DiagnosticOff instruction. Each instruction is in the CATALOG (Chapter 15). Note: To set DiagnosticOn or DiagnosticOff from the home screen, press y N, and then select the instruction for the mode you want. The instruction is ...
  • Texas Instruments TI 84 | User Guide - Page 309
    STAT CALC Menu STAT CALC Menu To display the STAT CALC menu, press ...~. EDIT CALC TESTS Calculates 1-variable statistics. Calculates 2-variable statistics...QuartReg 8: LinReg(a+bx) 9: LnReg 0: ExpReg A: PwrReg B: Logistic C: SinReg D: Manual Linear Fit Chapter 12: Statistics 306
  • Texas Instruments TI 84 | User Guide - Page 310
    ... pair occurs in the data set you are analyzing. For example, if L1={15,12,9,14} and ÙFREQ={1,4,1,3}, then the TI-84 Plus interprets the instruction 1-Var Stats L1, ÙFREQ to mean that 15 occurs once, 12 occurs four times, 9 occurs once, and 14 ...
  • Texas Instruments TI 84 | User Guide - Page 311
    ...,freqlist] Med-Med (ax+b) Med-Med (median-median) fits the model equation y=ax+b to the data using the median- median line (resistant line) technique, calculating the summary points x1, y1, x2, y2, x3, and y3. Med-Med displays values for a (slope) and b (y-intercept). Med-Med [Xlistname,Ylistname,...
  • Texas Instruments TI 84 | User Guide - Page 312
    LinReg(ax+b) [Xlistname,Ylistname,freqlist,regequ] QuadReg (ax2+bx+c) QuadReg (quadratic regression) fits the second-degree polynomial y=ax2+bx+c to the data. It displays values for a, b, and c; when DiagnosticOn is set, it also displays a value for R2. For three data points, the equation is a ...
  • Texas Instruments TI 84 | User Guide - Page 313
    QuartReg [Xlistname,Ylistname,freqlist,regequ] LinReg-(a+bx) LinReg(a+bx) (linear regression) fits the model equation y=a+bx to the data using a leastsquares fit. It displays values for a (y-intercept) and b (slope); when DiagnosticOn is set, it also displays values for r2 and r. LinReg(a+bx) [...
  • Texas Instruments TI 84 | User Guide - Page 314
    PwrReg (power regression) fits the model equation y=axb to the data using a leastsquares fit and transformed values ln(x) and ln(y). It displays values for a and b; when DiagnosticOn is set, it also displays values for r2 and r. PwrReg [Xlistname,Ylistname,freqlist,regequ] Logistic-c/ Logistic-c/ ...
  • Texas Instruments TI 84 | User Guide - Page 315
    order. If you specify period, the algorithm may find a solution more quickly, or it may find a solution when it would not have found one if you had omitted a value for period. If you specify period, the differences between time values in Xlistname can be unequal. Note: The output of SinReg is ...
  • Texas Instruments TI 84 | User Guide - Page 316
    ... value obtained from the previous SinReg execution. Manual Linear Fit Manual Linear Fit allows ...visually fit a linear function to a scatter plot. Manual Linear Fit is an option in the .../ menu. After ...List data and viewing the StatPlot, select the Manual-Fit function. 1. Press ...to display the Stat ...
  • Texas Instruments TI 84 | User Guide - Page 317
    ... value. Press Í to display the new parameter value. When you edit the value of the selected parameter, the edit can include insert, delete, type over, or mathematical expression. The screen dynamically ... expression Y=mX+B, and refreshes the graph with the updated Manual-Fit Line. Chapter 12: ...
  • Texas Instruments TI 84 | User Guide - Page 318
    Select y 5 to finish the Manual Fit function. The calculator stores the current mX+b expression into Y1 and makes that function active for graphing. You can also select Manual-Fit while on the ... column below under VARS menu. If you edit a list or change the type of analysis, all statistical ...
  • Texas Instruments TI 84 | User Guide - Page 319
    Variables population standard deviation of y sum of x ...y minimum of x values maximum of x values minimum of y values maximum of y values 1st quartile median 3rd quartile regression/fit coefficients polynomial, Logistic, and SinReg coefficients correlation coefficient coefficient of determination ...
  • Texas Instruments TI 84 | User Guide - Page 320
    ... You can enter statistical data, calculate statistical results, and fit models ... (Chapter 11). Statistical Calculations To perform a statistical calculation from a program, follow these steps. 1. On a blank line in the program editor, select the type of calculation from the STAT CALC menu. 2. Enter ...
  • Texas Instruments TI 84 | User Guide - Page 321
    ... data in lists, follow these steps. 1. Store the stat data in one or more lists. 2. Select or deselect Y= functions as appropriate. 3. Define the stat plot. 4. Turn on the plots you want to display. 5. Define the viewing window. 6. Display and explore the graph. Chapter 12: Statistics 318
  • Texas Instruments TI 84 | User Guide - Page 322
    Scatter Scatter (")plots plot the data points from Xlist and Ylist as coordinate pairs, showing each point as a box ( › ), cross ( + ), or dot ( ¦ ). Xlist and Ylist must be the same length. You can use the same list for Xlist and Ylist. xyLine xyLine (Ó)is a scatter plot in which the data ...
  • Texas Instruments TI 84 | User Guide - Page 323
    Histogram Histogram (Ò) plots one-variable data. The Xscl window variable value determines the width of each bar, beginning at Xmin. ZoomStat adjusts Xmin, Xmax, Ymin, and Ymax to include all values, and also adjusts Xscl. The inequality (Xmax N Xmin)
  • Texas Instruments TI 84 | User Guide - Page 324
    in the middle. When three are plotted, the first one plots at the top, the second in the middle, and the third at the bottom. Boxplot Boxplot (Ö)(regular box plot) plots one-variable data. The whiskers on the plot extend from the minimum data point in the set (minX) to the first quartile (Q1) and...
  • Texas Instruments TI 84 | User Guide - Page 325
    ...a valid list name in the Data List field. Select X or Y for the Data Axis setting. • • If you select X, the TI-84 Plus plots the data on the x-axis and the z-values on the y-axis. If you select Y, the TI-84 Plus plots the data on the y-axis and the z-values on the x-axis....
  • Texas Instruments TI 84 | User Guide - Page 326
    1. Press y ,. The STAT PLOTS menu is displayed with the current plot definitions. 2. Select the plot you want to use. The stat plot editor is displayed for the plot you selected. 3. Press Í to select On if you want to plot the statistical data immediately. The definition is stored whether you ...
  • Texas Instruments TI 84 | User Guide - Page 327
    Plot Type XList YList Mark Freq Data List Data Axis Õ ModBoxplot Ö Boxplot Ô NormProbPlot _ _ œ œ œ œ _ œ _ _ _ œ œ œ _ œ œ _ 5. Enter list names or select options for the plot type Xlist (list name containing independent data) Ylist (list name ...
  • Texas Instruments TI 84 | User Guide - Page 328
    Turning On and Turning Off Stat Plots PlotsOn and PlotsOff allow you to turn on or turn off stat plots from the home screen or a program. With no plot number, PlotsOn turns on all plots and PlotsOff turns off all plots. With one or more plot numbers (1, 2, and 3), PlotsOn turns on specified plots, ...
  • Texas Instruments TI 84 | User Guide - Page 329
    Defining the Viewing Window Stat plots are displayed on the current graph. To define the viewing window, press p and enter values for the window variables. ZoomStat redefines the viewing window to display all statistical data points. Tracing a Stat Plot When you trace a scatter plot or xyLine, ...
  • Texas Instruments TI 84 | User Guide - Page 330
    To define a stat plot from a program, begin on a blank line in the program editor and enter data into one or more lists; then, follow these steps. 1. Press y , to display the STAT PLOTS menu. 2. Select the plot to define, which pastes Plot1(, Plot2(, or Plot3( to the cursor location. 3. Press y , ...
  • Texas Instruments TI 84 | User Guide - Page 331
    ... location. 7. Press ¤ Í to complete the command line. Displaying a Stat Plot from a Program To display a plot from a program, use the DispGraph instruction (Chapter 16) or any of the ZOOM instructions (Chapter 3). Chapter 12: Statistics 328
  • Texas Instruments TI 84 | User Guide - Page 332
    Chapter 12: Statistics 329
  • Texas Instruments TI 84 | User Guide - Page 333
    Chapter 13: Inferential Statistics and Distributions Getting Started: Mean Height of a Population Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to estimate the mean height of a population of women given the random sample below. Because heights among a ...
  • Texas Instruments TI 84 | User Guide - Page 334
    2. Enter [H] [G] [H] [T] at the Name= prompt, and then press Í. The list to which you will store the women's height data is created. Press
  • Texas Instruments TI 84 | User Guide - Page 335
    6. Press
  • Texas Instruments TI 84 | User Guide - Page 336
    of 7.1 calculated from the larger random sample. This time, use the Stats (summary statistics) input option. 7. Press ...| 8 to display the inferential stat editor for TInterval. Press ~ Í to select Inpt:Stats. The editor changes so that you can enter summary statistics as input. 8. Press
  • Texas Instruments TI 84 | User Guide - Page 337
    ...is m, and 6.35 is s. The result is displayed on the home screen; it shows that five percent of the women are taller than 175.5 centimeters. Now graph and shade the top 5 percent of the population. 12. Press p and set the window variables to these values. Xmin=145 Xmax=185 Xscl=5 Ymin=L.02 Ymax=.08 ...
  • Texas Instruments TI 84 | User Guide - Page 338
    ... step 11) is the lower Inferential Stat Editors Displaying the Inferential Stat Editors When you select a hypothesis test or confidence interval instruction from the home screen, the appropriate inferential statistics editor is displayed. The editors vary Chapter 13: Inferential Statistics and ...
  • Texas Instruments TI 84 | User Guide - Page 339
    ...selection is available. 6. Select Calculate or Draw (when Draw is available) to execute the instruction. • • When you select Calculate, the results are displayed on the home screen. When you select Draw, the results are displayed in a graph. 336 Chapter 13: Inferential ...
  • Texas Instruments TI 84 | User Guide - Page 340
    ... in the above steps for each hypothesis test and confidence interval instruction. Select Data or Stats input Enter values for arguments Select an alternative hypothesis Select Calculate or Draw output Selecting Data or Stats Most inferential stat editors prompt you ...
  • Texas Instruments TI 84 | User Guide - Page 341
    When you enter values in any inferential stat editor, the TI-84 Plus stores them in memory so that you can run many tests or intervals without having to reenter every value. Selecting an Alternative Hypothesis (ă < >) Most of the ...
  • Texas Instruments TI 84 | User Guide - Page 342
    ...a hypothesis test, you must select whether you want to see the calculated results on the home screen (Calculate) or on the graph screen (Draw). • •... The window variables are adjusted automatically to fit the graph. To select Calculate or Draw, move the cursor to either Calculate or...
  • Texas Instruments TI 84 | User Guide - Page 343
    ... test or confidence interval instruction to a command line in a program. From within the program editor, select .... Most STAT TESTS instructions store some output variables to memory. For a list of these ... Test and Interval Output Variables table. EDIT CALC TESTS 1: Z-Test...2: T-Test...3: 2-SampZTest...
  • Texas Instruments TI 84 | User Guide - Page 344
    EDIT CALC TESTS 0: 2-SampTInt...A: 1-PropZInt...B: 2-PropZInt...C: c2-Test...D: c2-GOF Test...E: .... Inferential Stat Editors for the STAT TESTS Instructions In this chapter, the description of each STAT TESTS ... both types of input screens. Descriptions of instructions that do not offer the Data/Stats ...
  • Texas Instruments TI 84 | User Guide - Page 345
    ...screen for that instruction with the example results. • • Descriptions of instructions that offer the Calculate/Draw output choice show both types of screens: calculated and graphic results. Descriptions of instructions that offer only the Calculate output choice show the calculated results ...
  • Texas Instruments TI 84 | User Guide - Page 346
    L1={299.4 297.7 301 298.9 300.2 297} Data Input: Stats Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 343
  • Texas Instruments TI 84 | User Guide - Page 347
    Note: All STAT TESTS examples assume a fixed-decimal mode setting of 4 (Chapter 1). If you set the decimal mode to Float or a different fixed-decimal setting, your output may differ from the output in the examples. T-Test T-Test (one-sample t test; item 2) performs a hypothesis test for a single ...
  • Texas Instruments TI 84 | User Guide - Page 348
    Data Calculated results: Stats Drawn results: 2-SampZTest 2-SampZTest (two-sample z test; item 3) tests the equality of the means of two populations (m1 and m2) based on independent samples when both population standard deviations (s1 and s2) are known. The null hypothesis H0: m1= m2 is tested ...
  • Texas Instruments TI 84 | User Guide - Page 349
    In the example: LISTA={154 109 137 115 140} LISTB={108 115 126 92 146} Data Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 346
  • Texas Instruments TI 84 | User Guide - Page 350
    Data Stats Drawn results: 2-SampTTest 2-SampTTest (two-sample t test; item 4) tests the equality of the means of two populations (m1 and m2) based on independent samples when neither population standard deviation (s1 or s2) is known. The null hypothesis H0: m1= m2 is tested against one of the ...
  • Texas Instruments TI 84 | User Guide - Page 351
    SAMP1={12.207 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} Data Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 348
  • Texas Instruments TI 84 | User Guide - Page 352
    Data Drawn results: Stats 1-PropZTest 1-PropZTest (one-proportion z test; item 5) computes a test for an unknown proportion of successes (prop). It takes as input the count of successes in the sample x and the count of observations in the sample n. 1-PropZTest tests the null hypothesis H0: prop=...
  • Texas Instruments TI 84 | User Guide - Page 353
    Calculated results: Drawn results: 2-PropZTest 2-PropZTest (two-proportion z test; item 6) computes a test to compare the proportion of successes (p1 and p2) from two populations. It takes as input the count of successes in each sample (x1 and x2) and the count of observations in each sample (n1 ...
  • Texas Instruments TI 84 | User Guide - Page 354
    • Ha: p1>p2 (p1:>p2) Input: Calculated results: Drawn results: Chapter 13: Inferential Statistics and Distributions 351
  • Texas Instruments TI 84 | User Guide - Page 355
    ...population mean m when the population standard deviation s is known. The computed confidence interval depends on the user-specified confidence level. In the example: L1={299.4 297.7 301 298.9 300.2 297} Data Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 352
  • Texas Instruments TI 84 | User Guide - Page 356
    ... an unknown population mean m when the population standard deviation s is unknown. The computed confidence interval depends on the user-specified confidence level. In the example: L6={1.6 1.7 1.8 1.9} Data Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 353
  • Texas Instruments TI 84 | User Guide - Page 357
    2-SampZInt 2-SampZInt (two-sample z confidence interval; item 9) computes a confidence interval for the difference between two population means ( m1Nm2) when both population standard deviations ( s1 and s2) are known. The computed confidence interval depends on the user-specified confidence level....
  • Texas Instruments TI 84 | User Guide - Page 358
    Data Calculated results: Stats 2-SampTInt 2-SampTInt (two-sample t confidence interval; item 0) computes a confidence interval for the difference between two population means (m1Nm2) when both population standard deviations (s1 and s2) are unknown. The computed confidence interval depends on the ...
  • Texas Instruments TI 84 | User Guide - Page 359
    SAMP1={12.207 16.869 25.05 22.429 8.456 10.589} SAMP2={11.074 9.686 12.064 9.351 8.182 6.642} Data Input: Stats Calculated results: Chapter 13: Inferential Statistics and Distributions 356
  • Texas Instruments TI 84 | User Guide - Page 360
    ... sample x and the count of observations in the sample n. The computed confidence interval depends on the user-specified confidence level. Input: Calculated results: 2-PropZInt 2-PropZInt (two-proportion z confidence interval; item B) computes a confidence interval for the difference between the ...
  • Texas Instruments TI 84 | User Guide - Page 361
    observations in each sample (n1 and n2). The computed confidence interval depends on the user-specified confidence level. Input: Calculated results: c2-Test c2-Test (chi-square test; item C) computes a chi-square test for association on the twoway table of counts in the specified Observed matrix. ...
  • Texas Instruments TI 84 | User Guide - Page 362
    ... expected counts to be stored; default=[B]. Matrix editor: Note: Press y ú ~ ~ 1 to select 1:[A] from the MATRX EDIT menu. Input: Note: Press y to display matrix [B]. Calculated results: Chapter 13: Inferential Statistics and Distributions 359...
  • Texas Instruments TI 84 | User Guide - Page 363
    Drawn results: c2GOF-Test c2GOF-Test (Chi Square Goodness of Fit; item D) performs a test to confirm that sample data is from a population that conforms to a specified distribution. For example, c2 GOF can confirm that the sample data came from a normal distribution. In the example: list 1={16,25,...
  • Texas Instruments TI 84 | User Guide - Page 364
    Calculated results: Drawn results: 2-SampFTest 2-SampÜTest (two-sample Ü-test; item E) computes an Ü-test to compare two normal population standard deviations (s1 and s2). The population means and standard deviations are all unknown. 2-SampÜTest, which uses the ratio of sample variances Sx12/...
  • Texas Instruments TI 84 | User Guide - Page 365
    In the example: SAMP4={ SAMP5={ 7 L1 L4 12 18 L1 Data 17 L3 L3 3 L5 L5 1 5 10 2 11 L11 Stats L2} L1 L3} Input: Calculated results: Chapter 13: Inferential Statistics and Distributions 362
  • Texas Instruments TI 84 | User Guide - Page 366
    ...VARS Statistics EQ secondary menu). If you enter a Y= variable name at the RegEQ: prompt, the calculated regression equation is automatically stored to the specified Y= equation. In the example below,...L3={ L4={ 38 41 56 63 59 70 64 72 74} 84} Chapter 13: Inferential Statistics and Distributions 363
  • Texas Instruments TI 84 | User Guide - Page 367
    Input: Calculated results: When LinRegTTest is executed, the list of residuals is created and stored to the list name RESID automatically. RESID is placed on the LIST NAMES menu. Note: For the regression equation, you can use the fix-decimal mode setting to control the number of digits stored ...
  • Texas Instruments TI 84 | User Guide - Page 368
    LinRegTInt LinRegTInt computes a linear regression T confidence interval for the slope coefficient b. If the confidence interval contains 0, this is insufficient evidence to indicate that the data exhibits a linear relationship. In the example: list 1={4, 5, 6, 7, 8} list 2={1, 2, 3, 3.5, 4.5} ...
  • Texas Instruments TI 84 | User Guide - Page 369
    Xlist, Ylist is the list of independent and dependent variables. The list containing the Freq (frequency) values for the data is stored in List. The default is 1. All elements must be real numbers. Each element in the Freq list is the frequency of occurence for each corresponding data point in the ...
  • Texas Instruments TI 84 | User Guide - Page 370
    Calculated results: Note: SS is sum of squares and MS is mean square. Inferential Statistics Input Descriptions The tables in this section describe the inferential statistics inputs discussed in this chapter. You enter values for these inputs in the inferential stat editors. The tables present the...
  • Texas Instruments TI 84 | User Guide - Page 371
    ... size) Pooled Specifies whether variances are to be pooled for 2-SampTTest and 2-SampTInt. No instructs the TI-84 Plus not to pool the variances. Yes instructs the TI-84 Plus to pool the variances. Chapter 13: Inferential Statistics and Distributions 368
  • Texas Instruments TI 84 | User Guide - Page 372
    ... be an integer > 0. The count of observations in sample two for the 2-PropZTest and 2-PropZInt. Must be an integer > 0. The confidence level for the interval instructions. Must be , 0 and < 100. If it is , 1, it is assumed to be given as a percent and is divided by 100. Default=0.95. The matrix ...
  • Texas Instruments TI 84 | User Guide - Page 373
    ...Xlist and Ylist must be the same. The prompt for the name of the Y= variable where the calculated regression equation is to be stored. If a Y= variable is specified... and Interval Output Variables The inferential statistics variables are calculated as indicated below. To access these variables for use...
  • Texas Instruments TI 84 | User Guide - Page 374
    Variables number of data points for sample 1 and sample 2 pooled standard deviation estimated sample proportion estimated sample proportion for population 1 estimated sample proportion for population 2 confidence interval pair mean of x values sample standard deviation of x number of data points ...
  • Texas Instruments TI 84 | User Guide - Page 375
    Distribution Functions DISTR menu To display the DISTR menu, press y =. DISTR DRAW 1: normalpdf( 2: normalcdf( 3: invNorm( 4: invT( 5: tpdf( 6: tcdf( 7: c2pdf( 8: c2cdf 9: Üpdf( 0: Ücdf( A: binompdf( nn probability density function nn cumulative distribution function Inverse cumulative normal ...
  • Texas Instruments TI 84 | User Guide - Page 376
    DISTR DRAW B: binomcdf( C: poissonpdf( D: poissoncdf( E: geometpdf( F: geometcdf( Binomial cumulative density Poisson probability Poisson cumulative density Geometric probability Geometric cumulative density Note: L1â99 and 1â99 specify infinity. If you want to view the area left of upperbound, ...
  • Texas Instruments TI 84 | User Guide - Page 377
    normalpdf(x[,m,s]) Note: For this example, Xmin = 28 Xmax = 42 Ymin = 0 Ymax = .2 Xscl = 1 Yscl = .1 Note: For plotting the normal distribution, you can set window variables Xmin and Xmax so that the mean m falls between them, and then select 0:ZoomFit from the ZOOM menu. normalcdf( normalcdf( ...
  • Texas Instruments TI 84 | User Guide - Page 378
    ...computes the inverse cumulative normal distribution function for a given area under the normal distribution curve specified by mean m and standard deviation s. It calculates the x value associated with an area to the left of the x value. 0  area  1 must be true. The defaults are m=0 and s=1. ...
  • Texas Instruments TI 84 | User Guide - Page 379
    tpdf( tpdf( computes the probability density function (pdf) for the Student-t distribution at a specified x value. df (degrees of freedom) must be > 0. To plot the Student-t distribution, paste tpdf( to the Y= editor. The probability density function (pdf) is: Γ [ ( df + 1 ) /2 ] f ( x df ⁄ 2 ...
  • Texas Instruments TI 84 | User Guide - Page 380
    c2pdf( c2pdf( computes the probability density function (pdf) for the c2 (chi-square) distribution at a specified x value. df (degrees of freedom) must be an integer > 0. To plot the c2 distribution, paste c2pdf( to the Y= editor. The probability density function (pdf) is: df /2 df ⁄ 2 - 1 - x /2...
  • Texas Instruments TI 84 | User Guide - Page 381
    c2cdf( c2cdf( computes the c2 (chi-square) distribution probability between lowerbound and upperbound for the specified df (degrees of freedom), which must be an integer > 0. c2cdf(lowerbound,upperbound,df) Fpdf( Üpdf( computes the probability density function (pdf) for the Ü distribution at a ...
  • Texas Instruments TI 84 | User Guide - Page 382
    Üpdf(x,numerator df,denominator df) Note: For this example, Xmin = 0 Xmax = 5 Ymin = 0 Ymax = 1 Fcdf( Ücdf( computes the Ü distribution probability between lowerbound and upperbound for the specified numerator df (degrees of freedom) and denominator df. numerator df and denominator df must be ...
  • Texas Instruments TI 84 | User Guide - Page 383
    of integers. 0p1 must be true. numtrials must be an integer > 0. If you do not specify x, a list of probabilities from 0 to numtrials is returned. The probability density function (pdf) is: n-x n x f(x) = ⎛ ⎞ p (1 - p) ,x = 0,1,..., n ⎝x
  • Texas Instruments TI 84 | User Guide - Page 384
    poissonpdf( poissonpdf( computes a probability at x for the discrete Poisson distribution with the specified mean m, which must be a real number > 0. x can be an integer or a list of integers. The probability density function (pdf) is: f ( x ) = e µ ⁄ x ! ,x = 0,1,2,...poissonpdf(m,x) -µ x ...
  • Texas Instruments TI 84 | User Guide - Page 385
    ... number or a list of real numbers. geometcdf(p,x) Distribution Shading DISTR DRAW Menu To display the DISTR DRAW menu, press y = ~. DISTR DRAW instructions draw various types of density functions, shade the area specified by lowerbound and upperbound, and display the computed area value. Chapter 13...
  • Texas Instruments TI 84 | User Guide - Page 386
    To clear the drawings, select 1:ClrDraw from the DRAW menu (Chapter 8). Note: Before you execute a DISTR DRAW instruction, you must set the window variables so that the desired distribution fits the screen. DISTR DRAW 1: ShadeNorm( 2: Shade_t( 3: Shade c2( 4: ShadeÜ( Shades normal distribution. ...
  • Texas Instruments TI 84 | User Guide - Page 387
    ShadeNorm(lowerbound,upperbound[,m,s]) Note: For this example, Xmin = 55 Xmax = 72 Ymin = L.05 Ymax = .2 Shade_t( Shade_t( draws the density function for the Student-t distribution specified by df (degrees of freedom) and shades the area between lowerbound and upperbound. Shade_t(lowerbound,...
  • Texas Instruments TI 84 | User Guide - Page 388
    Shadec2( Shadec2( draws the density function for the c2 (chi-square) distribution specified by df (degrees of freedom) and shades the area between lowerbound and upperbound. Shadec2(lowerbound,upperbound,df) Note: For this example, Xmin = 0 Xmax = 35 Ymin = L.025 Ymax = .1 ShadeF( ShadeÜ( draws ...
  • Texas Instruments TI 84 | User Guide - Page 389
    ShadeÜ(lowerbound,upperbound,numerator df,denominator df) Note: For this example, Xmin = 0 Xmax = 5 Ymin = L.25 Ymax = .9 Chapter 13: Inferential Statistics and Distributions 386
  • Texas Instruments TI 84 | User Guide - Page 390
    Chapter 14: Applications The Applications Menu The TI-84 Plus comes with Finance and EasyData App ... additional TI-84 Plus software applications that allow you to customize further your calculator's ... ROM memory specifically for applications. Your TI-84 Plus includes Flash applications in addition to ...
  • Texas Instruments TI 84 | User Guide - Page 391
    ... percentage rate (APR) will make it possible for you to afford the car? 1. Press z to set the fixed-decimal mode setting to 2. The TI-84 Plus will display all numbers with two decimal places). 2. Press Œ Í to select 1:Finance from the APPLICATIONS menu. Chapter 14: ...
  • Texas Instruments TI 84 | User Guide - Page 392
    3. Press Í to select 1:TVM Solver from the CALC VARS menu. The TVM Solver is displayed. Press 48 Í to store 48 months to Ú. Press
  • Texas Instruments TI 84 | User Guide - Page 393
    Note: Because there are no payments when you solve compound interest problems, PMT must be set to 0 and P/Y must be set to 1. 1. Press Œ Í to select 1:Finance from the APPLICATIONS menu. 2. Press Í to select 1:TVM Solver from the CALC VARS menu. The TVM Solver is displayed. Press 7 to enter the...
  • Texas Instruments TI 84 | User Guide - Page 394
    Using the TVM Solver Using the TVM Solver The TVM Solver displays the time-value-of-money (TVM) variables. Given four variable values, the TVM Solver solves for the fifth variable. The FINANCE VARS menu section describes the five TVM variables (Ú, æ, PV, PMT, and FV) and P/Y and C/Y. PMT: END ...
  • Texas Instruments TI 84 | User Guide - Page 395
    ... variable. Using the Financial Functions Entering Cash Inflows and Cash Outflows When using the TI-84 Plus financial functions, you must enter cash ... and cash outflows (cash paid) as negative numbers. The TI-84 Plus follows this convention when computing and displaying answers....
  • Texas Instruments TI 84 | User Guide - Page 396
    .... interest sum. Computes the nominal interest rate. Computes the effective interest rate. Calculates the days between two dates. Selects ordinary annuity (end of period). ... of period). Use these functions to set up and perform financial calculations on the home screen. Chapter 14: Applications 393
  • Texas Instruments TI 84 | User Guide - Page 397
    ... the TVM Solver or use ¿ and any TVM variable on the FINANCE VARS menu. If you enter less than six arguments, the TI-84 Plus substitutes a previously stored TVM variable value for each unspecified argument. If you enter any arguments with a TVM function...
  • Texas Instruments TI 84 | User Guide - Page 398
    tvm_Pmt[(òÚ,¾æ,PV,FV,P/Y,C/Y)] Note: In the example above, the values are stored to the TVM variables in the TVM Solver. Then the payment (tvm_Pmt) is computed on the home screen using the values in the TVM Solver. Next, the interest rate is changed to 9.5 to illustrate the effect on the ...
  • Texas Instruments TI 84 | User Guide - Page 399
    tvm_PV[(Ú,¾æ,PMT,FV,P/Y,C/Y)] tvm_N tvm_Ú computes the number of payment periods. tvm_Ú[(æ¾,PV,PMT,FV,P/Y,C/Y)] tvm_FV tvm_FV computes the future value. tvm_FV[(Ú,¾æ,PV,PMT,P/Y,C/Y)] Chapter 14: Applications 396
  • Texas Instruments TI 84 | User Guide - Page 400
    Calculating Cash Flows Calculating a Cash Flow Use the cash flow functions (menu items 7 and 8) to analyze the value of money over equal time periods. You can enter unequal cash flows, which can be cash inflows or outflows. The syntax descriptions for npv( and irr( use these arguments interest ...
  • Texas Instruments TI 84 | User Guide - Page 401
    npv(, irr( npv( (net present value) is the sum of the present values for the cash inflows and outflows. A positive result for npv indicates a profitable investment. npv(interest rate,CF0,CFList[,CFFreq]) irr( (internal rate of return) is the interest rate at which the net present value of the cash...
  • Texas Instruments TI 84 | User Guide - Page 402
    ... the balance; if you do not specify roundvalue, then the TI-84 Plus uses the current Float/Fix decimal-mode setting. bal(... the internal precision the calculator uses to calculate the principal; if you do not specify roundvalue, the TI-84 Plus uses the current Float/Fix decimal-mode setting. Chapter ...
  • Texas Instruments TI 84 | User Guide - Page 403
    .... roundvalue specifies the internal precision the calculator uses to calculate the interest; if you do not specify roundvalue, the TI-84 Plus uses the current Float/Fix decimal-mode setting. GInt(pmt1,pmt2[,roundvalue]) Amortization Example: Calculating an...
  • Texas Instruments TI 84 | User Guide - Page 404
    2. Press to display the TVM Solver. 3. Press 360 to enter number of payments. Press
  • Texas Instruments TI 84 | User Guide - Page 405
    ... (Y1T). 10. Press z to select G-T split-screen mode, in which the graph and table are displayed simultaneously. Press r to display X1T (time) and Y1T (balance) in the table. Calculating Interest Conversion Calculating an Interest Conversion Use the interest conversion functions (menu...
  • Texas Instruments TI 84 | User Guide - Page 406
    ...periods must be >0. 4Eff(nominal rate,compounding periods) Finding Days between Dates/Defining Payment Method dbd( Use the date function dbd( (menu item D) to calculate the number of days between two dates using the actual-day-count method. date1 and date2 can be numbers or lists of numbers within ...
  • Texas Instruments TI 84 | User Guide - Page 407
    dbd(date1,date2) You can enter date1 and date2 in either of two formats. • • MM.DDYY (United States) DDMM.YY (Europe) The decimal placement differentiates the date formats. Defining the Payment Method Pmt_End and Pmt_Bgn (menu items E and F) specify a transaction as an ordinary annuity or an...
  • Texas Instruments TI 84 | User Guide - Page 408
    Pmt_Bgn Pmt_Bgn (payment beginning) specifies an annuity due, where payments occur at the beginning of each payment period. Most leases are in this category. Pmt_Bgn On the TVM Solver's PMT:END BEGIN line, select BEGIN to set PMT to annuity due. Using the TVM Variables FINANCE VARS Menu To ...
  • Texas Instruments TI 84 | User Guide - Page 409
    ...to view and analyze real-world data when the TI-84 Plus is connected to data collection devices such as Texas Instruments CBR 2é, CBL 2n.. sensors, Vernier Go!éMotion, or Vernier Motion Detector Unit. The TI-84 Plus comes with the EasyData App already installed. Note: The ...
  • Texas Instruments TI 84 | User Guide - Page 410
    Steps for Running the EasyData App Follow these basic steps when using the EasyData App. Starting EasyData 1. Attach your data collection device to your TI-84 Plus. Make sure the cables are firmly connected. 2. If the EasyData app has not auto-launched, press Πand the } or
  • Texas Instruments TI 84 | User Guide - Page 411
    ... settings, and then adjust the settings for your specific activity. To restore the default settings in EasyData while a data collection device is connected to the TI-84 Plus, choose File and select 1:New. Chapter 14: Applications 408
  • Texas Instruments TI 84 | User Guide - Page 412
    ... of samples set in the Time Graph Settings menu is reached. The TI-84 Plus will then display a ... Collected Data Collected data is automatically transferred to the TI-84 Plus and stored in lists L1 through ... EasyData app, refer to the Texas Instrument Web site at: education.ti.com/guides. Chapter 14: ...
  • Texas Instruments TI 84 | User Guide - Page 413
    Chapter 14: Applications 410
  • Texas Instruments TI 84 | User Guide - Page 414
    Chapter 15: CATALOG, Strings, Hyperbolic Functions Browsing the TI-84 Plus CATALOG What Is the CATALOG? The CATALOG is an alphabetical list of all functions and instructions on the TI-84 Plus. You also can access each CATALOG item from a menu or the keyboard, except ...
  • Texas Instruments TI 84 | User Guide - Page 415
    The 4 in the first column is the selection cursor. 2. Press
  • Texas Instruments TI 84 | User Guide - Page 416
    ... of characters that you enclose within quotation marks. On the TI-84 Plus, a string has two primary applications. • • It... one character. Count each instruction or function name, such as sin( or cos(, as one character; the TI-84 Plus interprets each instruction or function name as one character. ...
  • Texas Instruments TI 84 | User Guide - Page 417
    ..., press ~ and |. Note: Quotation marks do not count as string characters. Storing Strings to String Variables String Variables The TI-84 Plus has 10 variables to which you can store strings. You can use string variables with string functions and ...
  • Texas Instruments TI 84 | User Guide - Page 418
    2. Press Í to display the STRING secondary menu. Storing a String to a String Variable To store a string to a string variable, follow these steps. 1. Press ƒ [ã], enter the string, and press ƒ [ã]. 2. Press ¿. 3. Press  7 to display the VARS STRING menu. 4. Select the string variable (...
  • Texas Instruments TI 84 | User Guide - Page 419
    ... menu, and then press Í. The string is displayed. String Functions and Instructions in the CATALOG Displaying String Functions and Instructions in the CATALOG ... the CATALOG. The table below lists the string functions and instructions in the order in which they appear among the Chapter 15: CATALOG,...
  • Texas Instruments TI 84 | User Guide - Page 420
    other CATALOG menu items. The ellipses in the table indicate the presence of additional CATALOG items. CATALOG ...Equ4String( expr( ...inString( ...length( ...String4Equ( sub( ...Converts a string to an equation. Returns a string subset as a string. Returns a string's character length. Returns a ...
  • Texas Instruments TI 84 | User Guide - Page 421
    ...string2+string3... 4. Press Í to display the strings as a single string. Selecting a String Function from the CATALOG To select a string function or instruction and paste it to the current screen, follow the steps for selecting an item from the CATALOG. Equ4String( Equ4String( converts to a string...
  • Texas Instruments TI 84 | User Guide - Page 422
    expr( expr( converts the character string contained in string to an expression and executes it. string can be a string or a string variable. expr(string) inString( inString( returns the character position in string of the first character of substring. string can be a string or a string variable. ...
  • Texas Instruments TI 84 | User Guide - Page 423
    length( length( returns the number of characters in string. string can be a string or string variable. Note: An instruction or function name, such as sin( or cos(, counts as one character. length(string) String4Equ( String4Equ( converts string into an equation and stores the equation to Yn. string ...
  • Texas Instruments TI 84 | User Guide - Page 424
    ... of the subset. length is the number of characters in the subset. sub(string,begin,length) Entering a Function to Graph during Program Execution In a program, you can enter a function to graph during program execution using these commands. Chapter 15: CATALOG, Strings, Hyperbolic Functions 421
  • Texas Instruments TI 84 | User Guide - Page 425
    Note: When you execute this program, enter a function to store to Y3 at the ENTRY= prompt. Hyperbolic Functions in the CATALOG Hyperbolic Functions The hyperbolic functions are available only from the CATALOG. The table below lists the hyperbolic functions in the order in which they appear among ...
  • Texas Instruments TI 84 | User Guide - Page 426
    CATALOG sinh-1( ...tanh( tanh-1( ...sinh(, cosh(, tanh( sinh(, cosh(, and tanh( are the hyperbolic functions. Each is valid for real numbers, expressions, and lists. sinh(value) cosh(value) tanh(value) Hyperbolic tangent Hyperbolic arctangent Hyperbolic arcsine sinh-1(, cosh-1(, tanh-1( sinh-1( is...
  • Texas Instruments TI 84 | User Guide - Page 427
    sinh-1(value) cosh-1(value) sinh-1(value) Chapter 15: CATALOG, Strings, Hyperbolic Functions 424
  • Texas Instruments TI 84 | User Guide - Page 428
    ...: Volume of a Cylinder Getting Started is a fast-paced introduction. Read the chapter for details. A program is a set of commands that the TI-84 Plus executes sequentially, as if you had entered them from the keyboard. Create a program that prompts for the...
  • Texas Instruments TI 84 | User Guide - Page 429
    ... is pasted to the command line. Press y 7 [ã] [V] [O] [L] [U] [M] [E] O [I] [S V] Í to set up the program to display the text VOLUME IS on one line and the calculated value of V on the next. 6. Press y 5 to display the home screen. 7. Press  to display the ...
  • Texas Instruments TI 84 | User Guide - Page 430
    ...one or more command lines. Each line contains one or more instructions. When you execute a program, the TI-84 Plus performs each instruction on each command... in which you entered them. The number and size of programs that the TI-84 Plus can store is limited only by available ...
  • Texas Instruments TI 84 | User Guide - Page 431
    ...seven letters, numbers, or q to complete the new program name. 5. Press Í. The program editor is displayed. 6. Enter ... screen. Managing Memory and Deleting a Program To check whether adequate memory is available... (Chapter 18). 3. Select 7:Prgm to display the PRGM editor. Chapter 16: Programming 428...
  • Texas Instruments TI 84 | User Guide - Page 432
    The TI-84 Plus expresses memory quantities in bytes. You can increase available memory in one of two ways. You can delete one or more programs or you can archive some programs. To increase available memory by deleting a specific program: 1. Press y L and then select 2:Mem Mgmt/Del from the ...
  • Texas Instruments TI 84 | User Guide - Page 433
    ... and press Í. The asterisk will disappear. Note: Archive programs cannot be edited or executed. In order to edit or execute an archived program, you must first unarchive it. Entering Command Lines... line any instruction or expression that you could execute from the home screen. In the program editor...
  • Texas Instruments TI 84 | User Guide - Page 434
    ... press Í. The cursor moves to the next command line. Programs can access variables, lists, matrices,...Press  to display the PRGM EXEC menu. 2. Select a program name from the PRGM EXEC menu. prgmname ... indicator is on. Last Answer (Ans) is updated during program execution. Last Entry is not updated ...
  • Texas Instruments TI 84 | User Guide - Page 435
    The TI-84 Plus checks for errors during program execution. It does not check for errors as you enter a program. Breaking a ... 1:Quit. To go where the interruption occurred, select 2:Goto. Editing Programs Editing a Program To edit a stored program, follow these steps. 1. Press  ~ to display ...
  • Texas Instruments TI 84 | User Guide - Page 436
    Note: To move the cursor to the beginning of a command line, press y |; to move to the end, press y ~. To scroll the cursor down seven command lines, press ƒ
  • Texas Instruments TI 84 | User Guide - Page 437
    ...lines from one existing program to another existing program using RCL. Scrolling the PRGM EXEC and PRGM EDIT Menus The TI-84 Plus sorts PRGM EXEC and PRGM EDIT menu items automatically into alphanumerical order. Each menu only labels the first...
  • Texas Instruments TI 84 | User Guide - Page 438
    PRGM CTL (Control) Instructions PRGM CTL Menu To display the PRGM CTL (program control) menu, press  from the program editor only. CTL 1: If 2: Then.... Creates a conditional loop. Signifies the end of a block. Pauses program execution. Defines a label. Goes to a label. Increments and ...
  • Texas Instruments TI 84 | User Guide - Page 439
    .... To return to the program editor without selecting an item, press '. Controlling Program Flow Program control instructions tell the TI-84 Plus which command to execute next in a program. If, While, and Repeat check a defined condition to determine...
  • Texas Instruments TI 84 | User Guide - Page 440
    ... If is skipped. If condition is true (nonzero), then the next command is executed. If instructions can be nested. :If condition :command (if true) :command Program Output If-Then Then following an If executes a group of commands if condition is ...
  • Texas Instruments TI 84 | User Guide - Page 441
    :End :command Program Output If-Then-Else Else following If-Then executes a group of commands if condition is false (zero). End identifies the end of ... :Then :command (if true) :command (if true) :Else :command (if false) :command (if false) :End :command Program Output Chapter 16: Programming 438
  • Texas Instruments TI 84 | User Guide - Page 442
    ... (end
  • Texas Instruments TI 84 | User Guide - Page 443
    .... When condition is false (zero), the program executes each command following End. While instructions can be nested. :While condition :command (while condition...group of commands is always executed at least once. Repeat instructions can be nested. :Repeat condition :command (until ...
  • Texas Instruments TI 84 | User Guide - Page 444
    .... Press Í to resume execution. • • Pause suspends execution of the program so that you can see answers or graphs. Pause without a value temporarily pauses the program. If the DispGraph or Disp instruction has been executed, the appropriate screen is ...
  • Texas Instruments TI 84 | User Guide - Page 445
    Pause [value] Program Output Lbl, Goto Lbl (label) and Goto (go to) are used together for branching. Lbl specifies the label ... can be one or two characters (A through Z, 0 through 99, or q). Lbl label Goto causes the program to branch to label when Goto is encountered. Chapter 16: Programming 442
  • Texas Instruments TI 84 | User Guide - Page 446
    Goto label Program Output IS>( IS>( (increment and skip) adds 1 to variable. If the answer is > value (which can be an ... variable. :IS>(variable,value) :command (if answer  value) :command (if answer > value) Program Output Note: IS>( is not a looping instruction. Chapter 16: Programming 443
  • Texas Instruments TI 84 | User Guide - Page 447
    ...,value) :command (if answer , value) :command (if answer < value) Program Output Note: DS
  • Texas Instruments TI 84 | User Guide - Page 448
    ...you select 2, for example, the menu disappears and the program continues execution at Lbl B. prgm Use... to the cursor location. Enter characters to spell a program name. Using prgm is equivalent to selecting... the subroutine and returns execution to the calling program, even if encountered within nested...
  • Texas Instruments TI 84 | User Guide - Page 449
    ...contents of variable. DelVar variable GraphStyle( GraphStyle( designates the style of the graph to be drawn. function# is the number of the Y= function name in the current graphing...) For example, GraphStyle(1,5) in Func mode sets the graph style for Y1 to ë (path; 5). Chapter 16: Programming 446
  • Texas Instruments TI 84 | User Guide - Page 450
    ...text at a specified position. Checks the keyboard for a keystroke. Clears the display. Clears the current table. Gets a variable from another TI-84 Plus. Gets a variable from CBL 2™ or CBR™. Sends a variable to CBL 2 or CBR. 1: Input 2: Prompt 3: Disp 4: ...
  • Texas Instruments TI 84 | User Guide - Page 451
    These instructions control input to and output from a program during execution. They allow you to enter ... display answers during program execution. To return to the program editor without selecting an item, press '. Displaying a Graph with Input Input without a variable displays the current graph. ...
  • Texas Instruments TI 84 | User Guide - Page 452
    ...value is evaluated and stored to variable, and the program resumes execution. Input [variable] You ...) of up to 16 characters as a prompt. During program execution, enter a value after the prompt ...then press Í. The value is stored to variable, and the program resumes execution. Input ["text",variable...
  • Texas Instruments TI 84 | User Guide - Page 453
    ... the Home Screen Disp (display) without a value displays the home screen. To view the home screen during program execution, follow the Disp instruction with a Pause instruction. Disp Displaying Values and Messages Disp with one or more values displays the ...
  • Texas Instruments TI 84 | User Guide - Page 454
    ..., use Pause value. DispGraph DispGraph (display graph) displays the current graph. If Pause is encountered after DispGraph, the program halts temporarily so you can .... DispTable DispTable (display table) displays the current table. The program halts temporarily so you can examine the ...
  • Texas Instruments TI 84 | User Guide - Page 455
    ... according to the current mode settings. Matrices are displayed in entry format and wrap to the next line. ! is not valid as text. Output(row,column,"text") Output(row,column,value) Program Output For Output( on a Horiz split screen, the maximum value for row is 4. Chapter 16: Programming 452
  • Texas Instruments TI 84 | User Guide - Page 456
    ...returns 0. Use getKey inside loops to transfer control, for example, when creating video games. Program Output Note and Í were pressed during program execution. Note: You can press É at any time during execution to break the program. Chapter 16: Programming 453
  • Texas Instruments TI 84 | User Guide - Page 457
    TI-84 Plus Key Code Diagram ClrHome, ClrTable ClrHome (clear home screen) clears the ... execution. GetCalc( GetCalc( gets the contents of variable on another TI-84 Plus and stores it to variable on the receiving TI-84 Plus. variable can be a real or complex number, list element, list name, matrix ...
  • Texas Instruments TI 84 | User Guide - Page 458
    ... between TI.82 and TI-83 Plus or a TI.82 and TI-84 Plus calculators. Get(, Send( Get( gets data from ...or CBR™ and stores it to variable on the receiving TI-84 Plus. variable can be a real number, list...: If you transfer a program that references the Get( command to the TI-84 Plus from a TI.82, ...
  • Texas Instruments TI 84 | User Guide - Page 459
    ...to execute them from the home screen (Chapter 15). Calling Other Programs as Subroutines Calling a Program from Another Program On the TI-84 Plus, any stored program can be called from another program as a subroutine. Enter the name of the program to use ...
  • Texas Instruments TI 84 | User Guide - Page 460
    ... Return or the implied Return at the end of the second program. Program Output Subroutine ( ' Notes about Calling... use Goto to branch to a label in another program. Return exits a subroutine and returns to the calling program, even if it is encountered within nested loops. Chapter 16: Programming...
  • Texas Instruments TI 84 | User Guide - Page 461
    ... an Assembly Language Program You can run programs written for the TI-84 Plus in assembly language. Typically, assembly language programs run... it is stored among the other programs as a PRGM menu item. You can: • • Transmit it using the TI-84 Plus communication link (Chapter 19). Delete it using ...
  • Texas Instruments TI 84 | User Guide - Page 462
    ...sure to include AsmPrgm as the first line of your program. 2. From the home screen, press y N and then ...  to display the PRGM EXEC menu. 4. Select the program you want to compile. It will be pasted to the home... in the name you have chosen for the output program. Note: This name must be unique - not...
  • Texas Instruments TI 84 | User Guide - Page 463
    Chapter 17: Activities The Quadratic Formula Entering a Calculation Use the quadratic formula to solve the quadratic equations 3x2 + 5x + 2...[:] (above Ë). The colon allows you to enter more than one instruction on a line. 3. Press 5 ¿ ƒ [B] (above Œ) to store the coefficient of the X term. Press ...
  • Texas Instruments TI 84 | User Guide - Page 464
    5. Press £ Ì ƒ [B] Ã y C ƒ [B] ¡ ¹ 4 ƒ [A] ƒ [C 2 ƒ [A] ¤ to enter the expression for one of the solutions for the quadratic formula, - b ± b - 4 ac 2a 2 6. Press Í to find one solution for the equation 3x2 + 5x + 2 = 0. The answer is shown on the right side of the display. The ...
  • Texas Instruments TI 84 | User Guide - Page 465
    ...the result to a fraction. To save keystrokes, you can recall the last expression you entered, and then edit it for a new calculation. 4. Press y [ (above Í) to recall the fraction conversion entry, and then press y [ again to recall the quadratic-...
  • Texas Instruments TI 84 | User Guide - Page 466
    ... 3x2 + 5x + 2 = 0. Displaying Complex Results Now solve the equation 2x2 N x + 3 = 0. When you set a+bi complex number mode, the TI-84 Plus displays complex results. 1. Press z 6 times), and then press ~ to position the cursor over a+bi. Press Í to select a+bi...
  • Texas Instruments TI 84 | User Guide - Page 467
    ... coefficient of the x2 term, the coefficient of the X term, and the constant for the new equation are stored to A, B, and C, respectively. 4. Press y [ to recall the store instruction, and then press y [ again to recall the quadratic-formula expression, - b - b - 4 ac 2a 2 5. Press Í to find one ...
  • Texas Instruments TI 84 | User Guide - Page 468
    6. Press y [ repeatedly until this quadratic-formula expression is displayed: - b + b - 4 ac 2a 2 7. Press Í to find the other solution for the quadratic equation: 2x2 N x + 3 = 0. Note: An alternative for solving equations for real numbers is to use the built-in Equation Solver. Chapter 17: ...
  • Texas Instruments TI 84 | User Guide - Page 469
    ...What value of X would give your box the maximum volume V? Use the table and graphs to determine the solution. Begin by defining a function that describes the volume of the box.... Press o to display the Y= editor, which is where you define functions for tables and graphing. Chapter 17: Activities 466
  • Texas Instruments TI 84 | User Guide - Page 470
    ... without having to press ƒ. The highlighted = sign indicates that Y1 is selected. Defining a Table of Values The table feature of the TI-84 Plus displays numeric information about a function. You can use a table of values from the function you just defined to...
  • Texas Instruments TI 84 | User Guide - Page 471
    5. Press and hold
  • Texas Instruments TI 84 | User Guide - Page 472
    2. Press y 0. 3. Press
  • Texas Instruments TI 84 | User Guide - Page 473
    7. Press
  • Texas Instruments TI 84 | User Guide - Page 474
    The standard window variables define the viewing window as shown. Xmin, Xmax, Ymin, and Ymax define the boundaries of the display. Xscl and Yscl define the distance between tick marks on the X and Y axes. Xres controls resolution. 2. Press 0 Í to define Xmin. 3. Press 20 ¥ 2 to define Xmax using ...
  • Texas Instruments TI 84 | User Guide - Page 475
    ... function to be graphed and the window in which to graph it, you can display and explore the graph. You can trace along a function using the TRACE feature. 1. Press s to graph the selected function in the viewing window. The graph of Y1=(20N2X)(25
  • Texas Instruments TI 84 | User Guide - Page 476
    4. Press r. The trace cursor is displayed on the Y1 function. The function that you are tracing is displayed in the top-left corner. 5. Press | and ~ to trace along Y1, one X dot at a time, evaluating Y1 at each X. You also can enter your estimate for the maximum value of X. 6. Press 3 Ë 8. When ...
  • Texas Instruments TI 84 | User Guide - Page 477
    ..., you can magnify the viewing window at a specific location using the ZOOM instructions. 1. Press q to display the ZOOM menu. This menu is a typical TI-84 Plus menu. To select an item, you can either press the number or letter next to the ...
  • Texas Instruments TI 84 | User Guide - Page 478
    ... Maximum You can use a CALCULATE menu operation to calculate a local maximum of a function. 1. Press y / (above r) to display the CALCULATE menu. Press 4 to select 4:maximum. The graph is displayed again with a Left Bound? prompt. 2. Press | ...
  • Texas Instruments TI 84 | User Guide - Page 479
    ... to enter a guess for the maximum. When you press a number key in TRACE, the X= prompt is displayed in the bottomleft corner. Notice how the values for the calculated maximum compare with the maximums found with the free-moving cursor, the trace cursor, and the table. Note: In steps 2 and 3 above, ...
  • Texas Instruments TI 84 | User Guide - Page 480
    Comparing Test Results Using Box Plots Problem An experiment found a significant difference between boys and girls pertaining to their ... brains, versus their right hands, which are controlled by the left side of their brains. The TI Graphics team conducted a similar test for adult men and women. The ...
  • Texas Instruments TI 84 | User Guide - Page 481
    ... names WLEFT, WRGHT, MLEFT, and MRGHT, separated by commas. Press Í. The stat list editor now contains only these four lists. 2. Press ...1 to select 1:Edit. 3. Enter into WLEFT the number of correct guesses each woman made using her left hand (Women Left). Press ~ to move to WRGHT and enter the ...
  • Texas Instruments TI 84 | User Guide - Page 482
    7. Press p. Set Xscl=1 and Yscl=0. Press q 9 to select 9:ZoomStat. This adjusts the viewing window and displays the box plots for the women's results. 8. Press r. Women's left-hand data Women's right-hand data Use | and ~ to examine minX, Q1, Med, Q3, and maxX for each plot. Notice the outlier to...
  • Texas Instruments TI 84 | User Guide - Page 483
    11. Compare the right-hand results. Define plot 1 to use WRGHT, define plot 2 to use MRGHT, and then press r to examine minX, Q1, Med, Q3, and maxX for each plot. Who were the better right-hand guessers? In the original experiment boys did not guess as well with right hands, while girls guessed ...
  • Texas Instruments TI 84 | User Guide - Page 484
    ... road with a speed limit of 45 kilometers per hour (kph) is 50; plus 5 for each kph from 46 to 55 kph; plus 10 for each kph from 56 to 65 kph; plus 20 for each kph from 66 kph and above. Graph the piecewise function that describes the cost of the ticket. The fine (Y) as a function...
  • Texas Instruments TI 84 | User Guide - Page 485
    3. Press p and set Xmin=L2, Xscl=10, Ymin=L5, and Yscl=10. Ignore Xmax and Ymax; they are set by @X and @Y in step 4. 4. Press y 5 to return to the home screen. Store 1 to @X, and then store 5 to @Y. @X and @Y are on the VARS Window X/Y secondary menu. @X and @Y specify the horizontal and vertical ...
  • Texas Instruments TI 84 | User Guide - Page 486
    Graphing Inequalities Problem Graph the inequality 0.4x3 N 3x + 5 < 0.2x + 4. Use the TEST menu ...settings. Setting Dot mode changes all graph style icons to í (dot) in the Y= editor. 2. Press... evaluates to 1 if true or 0 if false. 4. Press q 6 to graph the inequality in the standard window. 5. Press...
  • Texas Instruments TI 84 | User Guide - Page 487
    6. Press o. Turn off Y4, Y5, and Y6. Enter equations to graph only the inequality. 7. Press r. Notice that the values of Y7 and Y8 are zero where the inequality is false. Chapter 17: Activities 484
  • Texas Instruments TI 84 | User Guide - Page 488
    Solving a System of Nonlinear Equations Problem Using a graph, solve the equation x3N2x=2cos(x). Stated another way, solve the system of two ...(x). Use ZOOM factors to control the decimal places displayed on the graph. Procedure 1. Press z. Select the default mode settings. ...
  • Texas Instruments TI 84 | User Guide - Page 489
    4. Press q 2 to select 2:Zoom In. Use |, ~, }, and
  • Texas Instruments TI 84 | User Guide - Page 490
    Using a Program to Create the Sierpinski Triangle Setting up the Program This program creates a drawing of a famous fractal, the Sierpinski Triangle, and stores the drawing to a picture. To begin, press  ~ ~ 1. Name the program SIERPINS, and then press Í. The program editor is ...
  • Texas Instruments TI 84 | User Guide - Page 491
    :If 1
  • Texas Instruments TI 84 | User Guide - Page 492
    Graphing Cobweb Attractors Problem Using Web format, you can identify points with attracting and repelling behavior in sequence graphing. Procedure 1. Press z. Select Seq and the ...=1 Ymin=M.26 Ymax=1.1 Yscl=1 5. Press r to display the graph, and then press ~ to trace the cobweb. This...
  • Texas Instruments TI 84 | User Guide - Page 493
    6. Change K to 3.44 and trace the graph to show a cobweb with two attractors. 7. Change K to 3.54 and trace the graph to show a cobweb with four attractors. Chapter 17: Activities 490
  • Texas Instruments TI 84 | User Guide - Page 494
    ...a Program to Guess the Coefficients Setting Up the Program This program graphs the function A sin(BX) with random integer ... Try to guess the coefficients and graph your guess as C sin(DX). The program continues until your... Define equations. Set line and path graph styles. Chapter 17: Activities 491
  • Texas Instruments TI 84 | User Guide - Page 495
    :L2p!Xmin :2p!Xmax :p
  • Texas Instruments TI 84 | User Guide - Page 496
    :If C=A and D=B :Stop :Goto Z Quit if guesses are correct. Chapter 17: Activities 493
  • Texas Instruments TI 84 | User Guide - Page 497
    Graphing the Unit Circle and Trigonometric Curves Problem Using parametric graphing mode, graph the unit circle and the sine curve to show the relationship between them. Any function that can be plotted in Func mode can be plotted in Par mode ...
  • Texas Instruments TI 84 | User Guide - Page 498
    5. Press r. As the graph is plotting, you may press Í to pause and Í again to resume graphing as you watch the sine function "unwrap" from the unit circle. Note: You can generalize the unwrapping. Replace sin(T) in Y2T with any other trig function to unwrap that function. Chapter 17: Activities...
  • Texas Instruments TI 84 | User Guide - Page 499
    Finding the Area between Curves Problem Find the area of the region bounded by: f(x) g(x) x = = = 300x / (x2 + 625) 3cos(.1x) 75 Procedure 1. Press z. Select the default mode settings. 2. Press p. Set the viewing window. Xmin=0 Xmax=100 Xscl=10 Ymin=L5 Ymax=10 Yscl=1 Xres=1 3. Press o. Turn off ...
  • Texas Instruments TI 84 | User Guide - Page 500
    5. Press y 5 to go to the home screen. Press y < 7 and use Shade( to see the area graphically. Shade(Y2,Y1,Ans,75) 6. Press y 5 to return to the home screen. Enter the expression to evaluate the integral for the shaded region. fnInt(Y1NY2,X,Ans,75) The area is 325.839962. Chapter 17: Activities...
  • Texas Instruments TI 84 | User Guide - Page 501
    Using Parametric Equations: Ferris Wheel Problem Problem Using two pairs of parametric equations, determine when two objects in motion are closest to each other in the same plane. A ferris wheel has a diameter (d) of 20 meters and is rotating counterclockwise at a rate (s) of one revolution every 12...
  • Texas Instruments TI 84 | User Guide - Page 502
    ... ferris wheel and the path of the ball. Set the graph style for X2T to ë (path). Note: Try setting the graph styles to ë X1T and ì X2T, which simulates a chair on the ferris wheel ...flying through the air when you press s. 4. Press s to graph the equations. Watch closely as they are plotted....
  • Texas Instruments TI 84 | User Guide - Page 503
    5. Press p. Change the viewing window to concentrate on this portion of the graph. Tmin=1 Tmax=3 Tstep=.03 Xmin=0 Xmax=23.5 Xscl=10 Ymin=10 Ymax=25.5 Yscl=10 6. Press r. After the graph is plotted, press ~ to move near the point on the ferris wheel where the paths cross. ...
  • Texas Instruments TI 84 | User Guide - Page 504
    You can use r to, in effect, take snapshots in time and explore the relative behavior of two objects in motion. Chapter 17: Activities 501
  • Texas Instruments TI 84 | User Guide - Page 505
    Demonstrating the Fundamental Theorem of Calculus Problem 1 Using the functions fnInt( and nDeriv( from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that: F( x) = x ∫1 dt x = ln (...
  • Texas Instruments TI 84 | User Guide - Page 506
    4. Press r. Press |, }, ~, and
  • Texas Instruments TI 84 | User Guide - Page 507
    Problem 2 Explore the functions defined by y = ∫2 t x 2 dt , ∫0 t x 2 dt , and ∫2 t x 2 dt Procedure 2 1. Press o. Turn off all functions and stat plots. Use a list to define these three functions simultaneously. Store the function in Y5. 2. Press q 6 to select 6:ZStandard. 3. ...
  • Texas Instruments TI 84 | User Guide - Page 508
    5. Press r. Notice that although the three graphs defined by Y5 are different, they share the same derivative. Chapter 17: Activities 505
  • Texas Instruments TI 84 | User Guide - Page 509
    Computing Areas of Regular N-Sided Polygons Problem Use the equation solver to store a formula for the area of a regular N-sided polygon, and then solve for each variable, given the other variables. Explore the fact that the limiting case is the area of a circle, pr2. Consider the formula A = NB 2 ...
  • Texas Instruments TI 84 | User Guide - Page 510
    3. Enter N=4 and B=6 to find the area (A) of a square with a distance (B) from center to vertex of 6 centimeters. 4. Press } } to move the cursor onto A, and then press ă \. The solution for A is displayed on the interactive solver editor. 5. Now solve for B for a given area with various number...
  • Texas Instruments TI 84 | User Guide - Page 511
    Now graph the equation to see visually how the area changes as the number of sides gets large. 8. .... Enter the equation for the area. Use X in place of N. Set the graph styles as shown. 11. Press r. After the graph is plotted, press 100 Í to trace to X=100. Press 150 Í. Press 188 Í. Notice that ...
  • Texas Instruments TI 84 | User Guide - Page 512
    asymptote to Y1. The area of an N-sided regular polygon, with r as the distance from the center to a vertex, approaches the area of a circle with radius r (pr 2) as N gets large. Chapter 17: Activities 509
  • Texas Instruments TI 84 | User Guide - Page 513
    Computing and Graphing Mortgage Payments Problem You are a loan officer at a mortgage company, and you recently closed on a 30-year ... PMT as a cash inflow. Payment values will be displayed as positive numbers on the graph. Enter 0 for FV, since the future value of a loan is 0 ...
  • Texas Instruments TI 84 | User Guide - Page 514
    Now compare the graph of the amount of interest with the graph of the amount of principal for each payment. 4. Press z. ...stat plots. Enter these equations and set the graph styles as shown. Note: GPrn( and GInt(... Ymax=1000 Yscl=100 Note: To increase the graph speed, change Tstep to 24. 7. Press r. ...
  • Texas Instruments TI 84 | User Guide - Page 515
    The graph shows that for the 240th payment (X=240), 358.03 of the 800 payment is applied to principal (Y=358.03). Note: The sum of the payments (Y3T=Y1T+Y2T) is always 800. 8. Press
  • Texas Instruments TI 84 | User Guide - Page 516
    At which monthly payment will the principal allocation surpass the interest allocation? Chapter 17: Activities 513
  • Texas Instruments TI 84 | User Guide - Page 517
    ... items from the MEMORY menu. To access this menu, press y L. MEMORY 1: About...Displays information about the graphing calculator including current OS version number. 2: Mem Mgmt/Del...Reports memory availability and variable usage. 3: Clear ...
  • Texas Instruments TI 84 | User Guide - Page 518
    .... Available RAM, Archive, and App Slots The TI-84 Plus / TI-84 Plus Silver Edition has Archive, RAM, and Application ...are actually individual sectors of Flash ROM where Apps are stored. Graphing calculator TI-84 Plus TI-84 Plus Silver Edition Available RAM 24 Kilobytes 24 Kilobytes Available Archive...
  • Texas Instruments TI 84 | User Guide - Page 519
    Displays the type of graphing calculator. Displays the OS version. As new software upgrades become available, .... Displays the Product ID. Each Flash-based graphing calculator has a unique product ID, which ... also use this 14 digit ID to register your calculator at education.ti.com, or identify your ...
  • Texas Instruments TI 84 | User Guide - Page 520
    ...scroll up or down to view more variable types. 2. Select 2:Mem Mgmt/Del to display the MEMORY MANAGEMENT/DELETE menu. The TI-84 Plus expresses memory quantities in bytes. 3. Select variable types from the list to display memory usage. Notes: Real, List, Y-Vars...
  • Texas Instruments TI 84 | User Guide - Page 521
    To leave the MEMORY MANAGEMENT/DELETE menu, press either y 5 or '. Both options display the home screen. Chapter 18: Memory and Variable Management 518
  • Texas Instruments TI 84 | User Guide - Page 522
    ... available memory by deleting the contents of any variable (real or complex number, list, matrix, Y= variable, program, Apps, AppVars, picture, graph database, or string), follow these steps. 1. Press y L to display the MEMORY menu. 2. Select 2:Mem ...
  • Texas Instruments TI 84 | User Guide - Page 523
    4. Press } and
  • Texas Instruments TI 84 | User Guide - Page 524
    ... L to display the MEMORY menu. 2. Select 3:Clear Entries to paste the instruction to the home screen. 3. Press Í to clear the ENTRY storage area. To cancel... Note: If you select 3:Clear Entries from within a program, the Clear Entries instruction is pasted to the program editor, and the Entry (last ...
  • Texas Instruments TI 84 | User Guide - Page 525
    ... from the stat list editor. Note: If you select 4:ClrAllLists from within a program, the ClrAllLists instruction is pasted to the program editor. The lists are cleared when the program is executed. Chapter 18: Memory and Variable Management 522
  • Texas Instruments TI 84 | User Guide - Page 526
    ... lets you store data, programs, or other variables to the user data archive (ARC) where they cannot be edited or deleted inadvertently. Archiving also allows you to ... that may require additional memory. Archived variables cannot be edited or executed. They can only be seen and unarchived....
  • Texas Instruments TI 84 | User Guide - Page 527
    Variable Type Functions Parametric equations Polar functions Sequence functions Stat plots Graph databases Graph pictures Strings Tables Apps AppVars Groups Variables with reserved names Names Y1, Y2, ..., Y9, Y0 X1T and Y1T, ..., X6T and Y6T r1, r2, r3, r4, r5, r6 u, v, w Plot1, Plot2, Plot3 GDB1,...
  • Texas Instruments TI 84 | User Guide - Page 528
    ... menu or CATALOG. Use a Memory Management editor screen. Before archiving or unarchiving variables, particularly those with a large byte size (such as large programs) use the MEMORY menu to: • • Find the size of the variable. See if there is enough free space. For: Archive UnArchive Sizes must ...
  • Texas Instruments TI 84 | User Guide - Page 529
    To archive or unarchive a list variable (L1) using the Archive/UnArchive options from the MEMORY menu: 1. Press y L to display the MEMORY menu. 2. Select 5:Archive or 6:UnArchive to place the command in the Home screen. 3. Press y d to place the L1 variable in the Home screen. 4. Press Í to ...
  • Texas Instruments TI 84 | User Guide - Page 530
    2. Select 2:Mem Mgmt/Del to display the MEMORY MANAGEMENT/DELETE menu. 3. Select 4:List to display the LIST menu. 4. Press Í to archive L1. An asterisk will appear to the left of L1 to indicate it is an archived variable. To unarchive a variable in this screen, put the cursor next to the ...
  • Texas Instruments TI 84 | User Guide - Page 531
    5. Press y 5 to leave the LIST menu. Note: You can access an archived variable for the purpose of linking, deleting, or unarchiving it, but you cannot edit it. Chapter 18: Memory and Variable Management 528
  • Texas Instruments TI 84 | User Guide - Page 532
    Resetting the TI-84 Plus RAM ARCHIVE ALL Menu Reset displays the RAM ARCHIVE ...archive memory will be erased. When you reset defaults on the TI-84 Plus, all defaults in RAM are restored to ...are not changed. These are some examples of TI-84 Plus defaults that are restored by resetting the defaults Mode...
  • Texas Instruments TI 84 | User Guide - Page 533
    Displaying the RAM ARCHIVE ALL Menu To display the RAM ARCHIVE ALL menu on the TI-84 Plus, follow these steps. 1. Press y L to ... available memory by deleting only selected data. To reset all RAM memory or RAM defaults on the TI-84 Plus, follow these steps. Chapter 18: Memory and...
  • Texas Instruments TI 84 | User Guide - Page 534
    ..., the message RAM cleared or Defaults set is displayed on the home screen. Resetting Archive Memory When resetting archive memory on the TI-84 Plus, you can choose to delete from user data archive all variables, all applications, or both variables and...
  • Texas Instruments TI 84 | User Guide - Page 535
    2. Select one of the following: 1:Vars to display the RESET ARC VARS menu. 2:Apps to display the RESET ARC APPS menu. 3:Both to display the RESET ARC BOTH menu. 3. Read the message below the menu. • To cancel the reset and return to the HOME screen, press Í. Chapter 18: Memory and Variable ...
  • Texas Instruments TI 84 | User Guide - Page 536
    ... archive memory cleared will be displayed on the HOME screen. Resetting All Memory When resetting all memory on the TI-84 Plus, RAM and user data archive memory ...deleting only selected data. To reset all memory on the TI-84 Plus, follow these steps. 1. From the RAM ARCHIVE ALL ...
  • Texas Instruments TI 84 | User Guide - Page 537
    • To continue with the reset, select 2:Reset. The message MEM cleared is displayed on the HOME screen. When you clear memory, the contrast sometimes changes. If the screen is faded or blank, adjust the contrast by pressing y } or
  • Texas Instruments TI 84 | User Guide - Page 538
    Grouping and Ungrouping Variables Grouping Variables Grouping allows you to make a copy of two or more variables residing in RAM and then store them as a group in user data archive. The variables in RAM are not erased. The variables must exist in RAM before they can be grouped. In other words, ...
  • Texas Instruments TI 84 | User Guide - Page 539
    4. Enter a name for the new group and press Í. Note: A group name can be one to eight characters long. The first character must be a letter from A to Z or q. The second through eighth characters can be letters, numbers, or q. 5. Select the type of data you want to group. You can select 1:All+ ...
  • Texas Instruments TI 84 | User Guide - Page 540
    6. Press } and
  • Texas Instruments TI 84 | User Guide - Page 541
    Note: You can only group variables in RAM. You cannot group some system variables, such as the last-answer variable Ans and the statistical variable RegEQ. Ungrouping Variables Ungrouping allows you to make a copy of variables in a group stored in user data archive and place them ungrouped in RAM....
  • Texas Instruments TI 84 | User Guide - Page 542
    • When you select 2:Overwrite, the unit overwrites the data of the duplicate variable name found in RAM. Ungrouping resumes. When you select 3: Overwrite All, the unit overwrites the data of all duplicate variable names found in RAM. Ungrouping resumes. When you select 4:Omit, the unit does not ...
  • Texas Instruments TI 84 | User Guide - Page 543
    4. Press } and
  • Texas Instruments TI 84 | User Guide - Page 544
    ...to cancel the garbage collection process, and then find and correct the errors in your program. When YES is selected, the TI-84 Plus will attempt to rearrange the archived variables to make additional room. Responding to the Garbage Collection Message To cancel, select 1:...
  • Texas Instruments TI 84 | User Guide - Page 545
    Note: The process message Defragmenting...is displayed whenever an application marked for deletion is encountered. Garbage collection may take up to 20 minutes, depending on how much of archive memory has been used to store variables. After garbage collection, depending on how much additional ...
  • Texas Instruments TI 84 | User Guide - Page 546
    Each variable that you archive is stored in the first empty block large enough to hold it. This process continues to the end of the last sector. Depending on the size of individual variables, the empty blocks may account for a significant amount of space. Garbage collection occurs when the variable...
  • Texas Instruments TI 84 | User Guide - Page 547
    When you unarchive a variable, the Archive free amount increases immediately, but the space is not actually available until after the next garbage collection. If the Archive free amount shows enough available space for your variable, there probably will be enough space to archive it after garbage ...
  • Texas Instruments TI 84 | User Guide - Page 548
    1. From the HOME screen, press y N to display the CATALOG. 2. Press
  • Texas Instruments TI 84 | User Guide - Page 549
    ... When the message is displayed, it will indicate the largest single space of memory available for storing a variable and an application. To resolve the problem, use the GarbageCollect command to optimize memory. If memory is still insufficient, you must delete variables or applications to increase ...
  • Texas Instruments TI 84 | User Guide - Page 550
    ... is a fast-paced introduction. Read the chapter for details. Create and store a variable and a matrix, and then transfer them to another TI-84 Plus. 1. On the home screen of the sending unit, press 5 Ë 5 ¿ ƒ Q. Press Í to store ...
  • Texas Instruments TI 84 | User Guide - Page 551
    ... unit, press Í to archive [A]. An asterisk (ä) will appear, signifying that [A] is now archived. 7. Connect the graphing calculators with the USB unit-to-unit cable. Push both ends in firmly. 8. On the receiving unit, press y 8 ~ to display the RECEIVE ...
  • Texas Instruments TI 84 | User Guide - Page 552
    13. On the sending unit, press ~ to display the TRANSMIT menu. 14. On the sending unit, press 1 to select 1:Transmit and begin transmission. The receiving unit displays the message Receiving...When the items are transmitted, both units display the name and type of each transmitted variable. ...
  • Texas Instruments TI 84 | User Guide - Page 553
    ... compatible TI units. The TI-84 Plus has a USB port to connect and communicate with another TI-84 Plus or TI-84 Plus Silver Edition. A USB unit-to-unit cable is included with the TI-84 Plus. The TI-84 Plus also has an I/O port using a I/O unit-to-unit cable ...
  • Texas Instruments TI 84 | User Guide - Page 554
    ... port. 2. Insert the other end of the cable into the other graphing calculator's I/O port. TI-84 Plus to a TI-83 Plus using I/O Unit-to-Unit Cable The TI-84 Plus I/O link port is located at the top left edge of the graphing calculator. The TI-83 Plus I/O ...
  • Texas Instruments TI 84 | User Guide - Page 555
    Linking to a Computer With TI Connect™ software and the USB computer cable that is included with your TI-84 Plus, you can link the graphing calculator to a personal computer. Chapter 19: Communication Link 552
  • Texas Instruments TI 84 | User Guide - Page 556
    .... Displays all items as deselected. Displays all program names. Displays all list names. Displays list names L1 through L6. Displays all graph databases. Displays all picture data types..... Displays all string variables. Displays all software applications. 1: All+...2: AllN...3: Prgm...4: List...5: ...
  • Texas Instruments TI 84 | User Guide - Page 557
    ...system updates to another TI-84 Plus Silver Edition or TI-84 Plus. You can not send the operating system to the TI-83 Plus product family....mode settings (no Flash applications or archived items) for backup to another TI-84 Plus, TI-84 Plus Silver Edition, TI-83 Plus Silver Edition, ...
  • Texas Instruments TI 84 | User Guide - Page 558
    Note: An asterisk (ä) to the left of an item indicates the item is archived. 5. Repeat steps 3 and 4 to select or deselect additional items. Sending the Selected Items After you have selected items to send on the sending unit and set the receiving unit to receive, follow these steps to transmit ...
  • Texas Instruments TI 84 | User Guide - Page 559
    ... unit are transmitted to the RAM of the receiving unit. Items sent from user data archive (flash) of the sending unit are transmitted to user data archive (flash) of the receiving unit. After all selected items have been transmitted, the message Done is displayed on both calculators. Press } and
  • Texas Instruments TI 84 | User Guide - Page 560
    ...TI-84 Plus Silver Edition will be sent to the user data archive of the receiving TI-84 Plus Silver Edition or TI-84 Plus. After sending or receiving data, you ...-84 Plus Silver Edition or TI-84 Plus units-from either the sending unit...-84 Plus Silver Edition or a TI-84 Plus: 1. Use a USB unit-to-unit...
  • Texas Instruments TI 84 | User Guide - Page 561
    ... to all additional units. Sending to a TI-83 Plus or TI-83 Plus Silver Edition You can send all variables from a TI-84 Plus to a TI-83 Plus or TI-83 Plus Silver Edition except Flash applications with new features, or programs with new features in ...
  • Texas Instruments TI 84 | User Guide - Page 562
    Receiving Items LINK RECEIVE Menu To display the LINK RECEIVE menu, press y 8 ~. SEND RECEIVE Sets unit to receive data transmission. 1: Receive Receiving Unit When you select 1:Receive from the LINK RECEIVE menu on the receiving unit, the message Waiting...and the busy indicator are displayed. ...
  • Texas Instruments TI 84 | User Guide - Page 563
    ... exits receive mode. Receiving from a TI-84 Plus Silver Edition or TI-84 Plus The TI-84 Plus Silver Edition and the TI-84 Plus are totally compatible. Keep in mind, however that the TI-84 Plus has less Flash memory than a TI-84 Plus Silver Edition. Chapter 19: Communication Link 560
  • Texas Instruments TI 84 | User Guide - Page 564
    You cannot send memory backups between the TI-84 Plus product family and the TI-83 Plus product family. Receiving from a TI-83 Plus Silver Edition or TI-83 Plus The TI-84 Plus product family and the TI-83 Plus product family are compatible with a few exceptions. Receiving ...
  • Texas Instruments TI 84 | User Guide - Page 565
    ... (no Flash applications or archived items) to another TI-84 Plus Silver Edition. You can also backup RAM memory and mode settings to a...two TI-84 Plus units, or a TI-84 Plus and a TI-84 Plus Silver Edition together. 2. On the sending unit press y 8 and select H:Back Up. The MEMORYBACKUP...
  • Texas Instruments TI 84 | User Guide - Page 566
    ...: If a transmission error is returned during a backup, the receiving unit is reset. Memory Backup Complete When the backup is complete, both the sending graphing calculator and receiving graphing calculator display a confirmation screen. Chapter 19: ...
  • Texas Instruments TI 84 | User Guide - Page 567
    ...-83 Plus, or TI-83 Plus Silver Edition. You attempt a data transfer from a TI-84 Plus to a TI-83 Plus, TI-83 Plus Silver Edition, TI-83, TI... setTmFmt(, startTmr, and timeCnv. You attempt a data transfer from a TI-84 Plus to a TI-82 with data other than real lists L1 through...
  • Texas Instruments TI 84 | User Guide - Page 568
    • You try to use GetCalc( with a TI-83 instead of a TI-84 Plus or TI-84 Plus Silver Edition. Insufficient Memory in Receiving Unit During transmission, if the receiving unit does not have sufficient memory to receive an item, the Memory Full menu is ...
  • Texas Instruments TI 84 | User Guide - Page 569
    ... matrix. You can use functions in an expression. Instructions initiate an action. Some functions and instructions... can paste any function or instruction to the home screen or to a command line in the program editor. However, some functions and instructions are not valid on the home screen. The items ...
  • Texas Instruments TI 84 | User Guide - Page 570
    Function or Instruction/Arguments valueA and valueB Result Returns 1 if both valueA and valueB are ƒ 0. valueA and valueB can be ...( in ASCII and stores the hex version. Must be used as the first line of an assembly language program. AsmPrgm yN AsmPrgm Appendix A: Functions and Instructions 567
  • Texas Instruments TI 84 | User Guide - Page 571
    Function or Instruction/Arguments augment(matrixA, matrixB) augment(listA,listB) Result Returns a matrix, which is matrixB appended to ... y 9 concatenated to the end of OPS listA. 9:augment( Turns off the graph axes. Turns on the graph axes. Sets the mode to rectangular complex number mode (a+bi).
  • Texas Instruments TI 84 | User Guide - Page 572
    Function or Instruction/Arguments binompdf(numtrials,p [,x]) Result Key or Keys/Menu or Screen/Item Computes a probability at x y = for the discrete binomial DISTR distribution with the A:binompdf( specified numtrials and probability p of success on each trial. c2cdf(lowerbound, upperbound,df) ...
  • Texas Instruments TI 84 | User Guide - Page 573
    Function or Instruction/Arguments checkTmr(starttime) Result Returns the number of seconds since you used startTmr to start the timer. The ...Sets to 0 the dimension of all lists in memory. Clears all drawn elements from a graph or drawing. Clears the home screen. Key or Keys/Menu or Screen/Item yN ...
  • Texas Instruments TI 84 | User Guide - Page 574
    Function or Instruction/Arguments ClrList listname1 [,listname2, ..., listname n] ClrTable Result Sets to 0 the dimension of one... connected plotting mode; resets all Y= editor graph-style settings to ç . Turns off cursor coordinate value display. Key or Keys/Menu or Screen/Item ...EDIT 4:ClrList
  • Texas Instruments TI 84 | User Guide - Page 575
    Function or Instruction/Arguments coshL1 (value) Result Key or Keys/Menu or Screen/Item Returns hyperbolic yN arccosine of a real number, coshL1( expression, ... day can be 1 or 2 digit. dayOfWk(year,month, day) yN dayOfWk( 1:Sunday 2:Monday 3:Tuesday... Appendix A: Functions and Instructions 572
  • Texas Instruments TI 84 | User Guide - Page 576
    Function or Instruction/Arguments dbd(date1,date2) Result Calculates the number of days between date1 and date2 using the actual-daycount method. Key or Keys/Menu or Screen/Item Œ 1:Finance CALC D:dbd( value4Dec Displays a real or complex  number, expression, list, or...
  • Texas Instruments TI 84 | User Guide - Page 577
    Function or Instruction/Arguments DiagnosticOn Result Sets diagnostics-on mode; r, r2, and R2 are displayed as regression model results. Key or Keys/Menu or Screen/Item yN DiagnosticOn dim(listname) Returns the dimension of listname. Returns the dimension of matrixname as a list. y9 OPS 3:dim(...
  • Texas Instruments TI 84 | User Guide - Page 578
    Function or Instruction/Arguments DispTable Result Displays the table. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 579
    Function or Instruction/Arguments Exponent: listâexponent Exponent: matrixâexponent Result Returns list elements times 10 to the exponent. Returns matrix elements times 10 to the exponent. Computes the effective interest rate. Key or Keys/Menu or Screen/Item yD yD Œ 1:Finance CALC C:4Eff( ...
  • Texas Instruments TI 84 | User Guide - Page 580
    Function or Instruction/Arguments ExprOff ExprOn Result Turns off the expression display during TRACE. Turns on the expression display during TRACE. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 581
    Function or Instruction/Arguments fMax(expression, variable,lower,upper [,tolerance]) Result Returns the value of variable where the ... [function#, function#,...,function n] Selects all Y= functions or specified Y= functions.  Y-VARS 4:On/Off 1:FnOn Appendix A: Functions and Instructions 578
  • Texas Instruments TI 84 | User Guide - Page 582
    Function or Instruction/Arguments :For(variable,begin,end [,increment]) :commands :End :commands fPart(value) Result Key or Keys/Menu or Screen/Item Executes commands
  • Texas Instruments TI 84 | User Guide - Page 583
    Function or Instruction/Arguments GarbageCollect Result Displays the garbage collection menu to allow cleanup of unused archive memory. Returns the greatest common divisor of valueA and valueB, which can be real numbers or lists. Key or Keys/Menu or Screen/Item yN GarbageCollect gcd(valueA,...
  • Texas Instruments TI 84 | User Guide - Page 584
    Function or Instruction/Arguments GetCalc(variable [,portflag]) Result Key or Keys/Menu or Screen/Item Gets contents of variable on
  • Texas Instruments TI 84 | User Guide - Page 585
    Function or Instruction/Arguments getDtStr(integer) Result Key or Keys/Menu or Screen/Item Returns a string of the yN current date in the format getDtStr( specified by integer, where: 1 = M/D/Y 2 = D/M/Y 3 = Y/M/D Returns the key code for
  • Texas Instruments TI 84 | User Guide - Page 586
    Function or Instruction/Arguments Goto label Result Transfers control to label. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 587
    Function or Instruction/Arguments :If condition :Then :commands :End :commands :If condition :Then :commands :Else :commands :End :commands imag(value) Result Key or Keys/Menu or Screen/Item Executes commands from
  • Texas Instruments TI 84 | User Guide - Page 588
    Function or Instruction/Arguments Input [variable] Input ["text",variable] Input [Strn,variable] Result Prompts for value to store to variable. Displays Strn and stores entered value to variable. Returns the character position in string of the first character of substring beginning at start. Key ...
  • Texas Instruments TI 84 | User Guide - Page 589
    Function or Instruction/Arguments invT(area,df) Result Key or Keys/Menu or Screen/Item Computes the inverse y= cumulative student-t DISTR probability function 4:invT( specified by degree of freedom, df for a given area under the curve. Returns the integer part of a real or complex number, ...
  • Texas Instruments TI 84 | User Guide - Page 590
    Function or Instruction/Arguments LabelOn Lbl label Result Turns on axes labels. Creates a label of one or two characters. Returns the least common multiple of valueA and valueB, which can be real numbers or lists. Returns the number of characters in string. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 591
    Function or Instruction/Arguments Result Key or Keys/Menu or Screen/Item LinReg(ax+b) [Xlistname, Fits a linear regression Ylistname,freqlist, model to Xlistname and regequ] Ylistname with frequency freqlist, and stores the regression equation to regequ. LinRegTTest [Xlistname, Ylistname,freqlist...
  • Texas Instruments TI 84 | User Guide - Page 592
    ...(value) « Logistic [Xlistname, Ylistname,freqlist, regequ] ...CALC B:Logistic Manual-Fit equname ...CALC D:Manual-Fit Matr4list(matrix, listnameA,...,listname n) Matr4list(matrix, column#,listname) Fills .... y9 OPS A:Matr4list( y9 OPS A:Matr4list( Appendix A: Functions and Instructions 589
  • Texas Instruments TI 84 | User Guide - Page 593
    Function or Instruction/Arguments max(valueA,valueB) Result Key or Keys/Menu or Screen/Item Returns the larger of valueA  and valueB. NUM ...median(list[,freqlist]) y9 MATH 4:median( Med-Med [Xlistname, Ylistname,freqlist, regequ] ...CALC 3:Med-Med Appendix A: Functions and Instructions 590
  • Texas Instruments TI 84 | User Guide - Page 594
    Function or Instruction/Arguments Menu("title","text1", label1[,...,"text7",label7]) min(valueA,valueB) Result Key or Keys/Menu or Screen/Item Generates a menu of up to
  • Texas Instruments TI 84 | User Guide - Page 595
    Function or Instruction/Arguments list nCr value Result Returns a list of the combinations of each element in list taken value at a time. Key or Keys/Menu or Screen/Item  PRB 3:nCr listA nCr listB Returns a list of the  combinations of each PRB element in listA taken each 3:nCr element in...
  • Texas Instruments TI 84 | User Guide - Page 596
    Function or Instruction/Arguments normalpdf(x[,m,s]) Result Computes the probability density function for the normal distribution at a specified x value for the ...cash inflows and outflows. npv(interest rate,CF0, CFList[,CFFreq]) Π1:Finance CALC 7:npv( Appendix A: Functions and Instructions 593
  • Texas Instruments TI 84 | User Guide - Page 597
    Function or Instruction/Arguments valueA or valueB Result Returns 1 if valueA or valueB is ƒ 0. valueA and valueB can be real numbers, expressions, or lists. Displays text beginning at specified row and column. Key or Keys/Menu or Screen/Item y: LOGIC 2:or Output(row,column, "text") Output(row,...
  • Texas Instruments TI 84 | User Guide - Page 598
    Function or Instruction/Arguments Plot#(type,Xlistname, freqlist) Result Defines Plot# (1, 2, or 3) of type Histogram or Boxplot for Xlistname with frequency freqlist. Defines Plot# (1, 2, or 3) of type ModBoxplot for Xlistname with frequency freqlist using mark. Defines Plot# (1, 2, or 3) of type ...
  • Texas Instruments TI 84 | User Guide - Page 599
    Function or Instruction/Arguments Pmt_End Result Specifies an ordinary annuity, where payments occur at the end ... distribution with the specified mean m. Sets polar graphing mode. Displays complex value in polar format. Sets polar graphing coordinates format. Executes the program name. Key or Keys/...
  • Texas Instruments TI 84 | User Guide - Page 600
    Function or Instruction/Arguments Result Computes the sum, rounded to roundvalue, of the principal amount between pmt1 and pmt2 for an amortization schedule. Key or Keys/Menu or Screen/Item GPrn(pmt1,pmt2 [,roundvalue]) Π1:Finance CALC 0:GPrn( prod(list[,start,end]) Returns product of list ...
  • Texas Instruments TI 84 | User Guide - Page 601
    Function or Instruction/Arguments 2-PropZTest(x1,n1,x2,n2 [,alternative,drawflag]) Result Key or Keys/Menu or Screen/Item Computes a two-proportion
  • Texas Instruments TI 84 | User Guide - Page 602
    Function or Instruction/Arguments Pxl-Off(row,column) Result Erases pixel at (row,column); 0  row  62 and 0  column ..., and stores the regression equation to regequ. P4Ry(r,q) QuadReg [Xlistname, Ylistname,freqlist, regequ] ...CALC 5:QuadReg Appendix A: Functions and Instructions 599
  • Texas Instruments TI 84 | User Guide - Page 603
    Function or Instruction/Arguments QuartReg [Xlistname, Ylistname,freqlist, regequ] Result Fits a quartic regression model to Xlistname and Ylistname with frequency freqlist, and stores the regression equation to regequ. Sets radian angle mode. Returns a random number between 0 and 1 for a specified...
  • Texas Instruments TI 84 | User Guide - Page 604
    Function or Instruction/Arguments randNorm(m,s [,numtrials]) Result Key or Keys/Menu or Screen/Item Generates and displays a  random real number from a PRB specified Normal 6:randNorm( distribution specified by m and s for a specified number of trials numtrials. Sets the mode to polar complex ...
  • Texas Instruments TI 84 | User Guide - Page 605
    Function or Instruction/Arguments RectGC ref(matrix) Result Sets rectangular graphing coordinates format. Returns the row-echelon form of a matrix. Executes commands until condition is true. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 606
    Function or Instruction/Arguments rowSwap(matrix,rowA, rowB) rref(matrix) Result Returns a matrix with rowA of matrix swapped ... 6:R4Pq( coordinates. Performs a two-sample Û test. alternative=L1 is . drawflag=1 draws results; drawflag=0 calculates results.
  • Texas Instruments TI 84 | User Guide - Page 607
    ...=L1 is . drawflag=1 draws results; drawflag=0 calculates results. Computes a two-sample t confidence interval. pooled=1 pools ...; pooled=0 does not pool variances. drawflag=1 draws results; drawflag=0 calculates results. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 608
    Function or Instruction/Arguments 2-SampTTest v1,Sx1,n1, v2,Sx2,n2[,alternative, pooled,drawflag] (Summary stats input) ...=1 pools variances; pooled=0 does not pool variances. drawflag=1 draws results; drawflag=0 calculates results. Computes a two-sample z confidence interval. Key or Keys/Menu or ...
  • Texas Instruments TI 84 | User Guide - Page 609
    Function or Instruction/Arguments 2-SampZTest(s1,s2, Result Computes a two-sample z test. alternative=L1 is . drawflag=1 draws results; drawflag=0 calculates results. Sets scientific notation display mode. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 610
    Function or Instruction/Arguments Sequential setDate(year,month,day) Result Sets mode to graph functions sequentially. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 611
    Function or Instruction/Arguments SetUpEditor listname1 [,listname2,..., listname20] Result Key or Keys/Menu or... list names ...from the stat list editor, then EDIT sets it up to display one or 5:SetUpEditor more... and y< upperfunc in terms of X on DRAW the current graph and uses 7:Shade( pattern and ...
  • Texas Instruments TI 84 | User Guide - Page 612
    Function or Instruction/Arguments ShadeNorm(lowerbound, upperbound[,m,s]) Result Key or Keys/Menu or Screen/Item Draws the normal density y= function specified ...by 2:Shade_t( degrees of freedom df, and shades the area between lowerbound and upperbound. Sets mode to graph functions simultaneously.
  • Texas Instruments TI 84 | User Guide - Page 613
    Function or Instruction/Arguments SinReg [iterations, Xlistname,Ylistname, period,regequ] Result Attempts iterations times to fit a sinusoidal regression model to Xlistname and Ylistname using a period guess, and stores the regression equation to regequ. Solves expression for variable, given an ...
  • Texas Instruments TI 84 | User Guide - Page 614
    Function or Instruction/Arguments Result Key or Keys/Menu or Screen/Item SortD(keylistname,dependl Sorts elements of ist1[,... freqlist. 7:stdDev( Ends program execution; returns to home screen. Stores value in variable. Stores current graph in database GDBn. Stores current picture in picture Picn.
  • Texas Instruments TI 84 | User Guide - Page 615
    Function or Instruction/Arguments sub(string,begin,length) Result Returns a string that is a subset of another string, from begin to length. Key ... lowerbound and 6:tcdf( upperbound for the specified degrees of freedom df. tcdf(lowerbound, upperbound,df) Appendix A: Functions and Instructions 612
  • Texas Instruments TI 84 | User Guide - Page 616
    Function or Instruction/Arguments Text(row,column,text1, text2,...,text n) Result Writes text on graph beginning at pixel (row,column), where 0  row  57 and 0 ... 0:Text( Then See If:Then Time timeCnv(seconds) Sets sequence graphs to plot with respect to time.
  • Texas Instruments TI 84 | User Guide - Page 617
    ...is . drawflag=1 draws results; drawflag=0 calculates results. Performs a t test with frequency freqlist. alternative=...< ; alternative=0 is ă; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results. Trace T-Test m0[,listname, freqlist,...
  • Texas Instruments TI 84 | User Guide - Page 618
    Function or Instruction/Arguments tvm_æ[(Ú,PV,PMT,FV, P/Y,C/Y)] tvm_Ú[(æ,PV,PMT,FV, ... archive variables, use Archive. Sets sequence graphs to plot u(n) on the x-axis and v(n) on the y-axis. Sets sequence graphs to plot u(n) on the x-axis and w(n) on the y-axis. Key or Keys/Menu or Screen/Item ...
  • Texas Instruments TI 84 | User Guide - Page 619
    Function or Instruction/Arguments 1-Var Stats [Xlistname, freqlist] Result Performs one-variable analysis on the data in ... x. variance(list[,freqlist]) Vertical x y< DRAW 4:Vertical vwAxes Sets sequence graphs to plot v(n) on the x-axis and w(n) on the y-axis. Sets sequence graphs to trace as ...
  • Texas Instruments TI 84 | User Guide - Page 620
    Function or Instruction/Arguments valueA xor valueB Result Returns 1 if only valueA or valueB = 0. valueA and valueB can be real numbers, expressions, or lists. Displays a graph, lets you draw a box that defines a new viewing window, and updates the window. Key or ...
  • Texas Instruments TI 84 | User Guide - Page 621
    Function or Instruction/Arguments Zoom In Result Magnifies the part of the graph that surrounds the cursor location. Displays a greater portion of the graph, centered on the cursor location. Key or Keys/Menu or Screen/Item
  • Texas Instruments TI 84 | User Guide - Page 622
    Function or Instruction/Arguments ZPrevious Result Key or Keys/Menu or Screen/Item Replots the graph using the
  • Texas Instruments TI 84 | User Guide - Page 623
    Function or Instruction/Arguments Z-Test(m0,s,v,n [,alternative,drawflag]) (Summary stats input) Result Performs a z test. ...=L1 is . drawflag=1 draws results; drawflag=0 calculates results. Replots the functions immediately, updating the window variables to ...
  • Texas Instruments TI 84 | User Guide - Page 624
    Function or Instruction/Arguments Transpose: matrixT Result Key or Keys/Menu or Screen/Item Returns a matrix in which y> each element (row, column) ... a real or complex number, expression, or list.  MATH 3:3 Cube root: 3‡(value)  MATH 4:3‡( Appendix A: Functions and Instructions 621
  • Texas Instruments TI 84 | User Guide - Page 625
    Function or Instruction/Arguments Equal: valueA=valueB Result Returns 1 if valueA = valueB. Returns 0 if valueA ƒ valueB. valueA and valueB ...: valueAƒvalueB y: TEST 2:ƒ Less than: valueAvalueB y: TEST 3:> Appendix A: Functions and Instructions 622
  • Texas Instruments TI 84 | User Guide - Page 626
    Function or Instruction/Arguments Less than or equal: valueAvalueB Result Returns 1 if valueA  valueB. Returns 0 if valueA > ... or expression. Returns list elements squared. Square: list2 Square: matrix2 ¡ Returns matrix multiplied by ¡ itself. Appendix A: Functions and Instructions 623
  • Texas Instruments TI 84 | User Guide - Page 627
    Function or Instruction/Arguments Powers: value^power Result Returns value raised to power. value can be a real or complex number or expression. ... times valueB. Power of ten: 10^(list) Square root: ‡(value) yG yC Multiplication: valueAävalueB ¯ Appendix A: Functions and Instructions 624
  • Texas Instruments TI 84 | User Guide - Page 628
    Function or Instruction/Arguments Multiplication: valueälist Multiplication: listävalue Multiplication: listAälistB Multiplication: valueämatrix Multiplication: matrixAämatrixB Division: valueA
  • Texas Instruments TI 84 | User Guide - Page 629
    Function or Instruction/Arguments Addition: matrixA+matrixB Concatenation: string1+string2 Subtraction: valueANvalueB Subtraction: valueNlist ... Subtraction: listANlistB Subtraction: matrixANmatrixB Result Returns matrixA elements plus matrixB elements. Concatenates two or more strings. Subtracts ...
  • Texas Instruments TI 84 | User Guide - Page 630
    Appendix B: Reference Information Variables User Variables The TI-84 Plus uses the variables listed below in various ways. Some .... The variables A through Z and q are defined as real or complex numbers. You may store to them. The TI-84 Plus can update X, Y, R, q, and T during graphing, so you may ...
  • Texas Instruments TI 84 | User Guide - Page 631
    ... below must be real numbers. You may store to them. Since the TI-84 Plus can update some of them, as the result of a ZOOM, ... ZXmax, ZXscl, ZTstep, ZPlotStart, Zu(nMin), and other ZOOM variables. The variables below are reserved for use by the TI-84 Plus. You cannot store to them. n, v, Sx, sx, minX,...
  • Texas Instruments TI 84 | User Guide - Page 632
    Statistics Formulas This section contains statistics formulas for the Logistic and SinReg regressions, ANOVA, 2-SampÜTest, and 2-SampTTest. Logistic The logistic regression algorithm applies nonlinear recursive least-squares techniques to optimize the following cost function: ⎛ ⎞2 c y - ⎜ i...
  • Texas Instruments TI 84 | User Guide - Page 633
    SinReg The sine regression algorithm applies nonlinear recursive least-squares techniques to optimize the following cost function: J = ∑ [a sin ( bxi + c ) + d - yi ] i=1 N 2 which is the sum of the squares of the residual errors, where: x = the independent variable list y = the dependent ...
  • Texas Instruments TI 84 | User Guide - Page 634
    The mean squares (MS) that make up Ü are: FactorSS FactorMS Factordf ErrorMS = ErrorSS Errordf The sum of squares (SS) that make up the mean squares are: FactorSS = ∑ ni ( xi -x ) i=1 I I 2 ErrorSS = ∑ ( ni -1 ) Sxi2 i=1 The degrees of freedom df that make up the mean squares are: ...
  • Texas Instruments TI 84 | User Guide - Page 635
    2-SampFTest Below is the definition for the 2-SampÜTest. Sx1, Sx2 = Sample standard deviations having n - 1 1 and n 2 - 1 degrees of freedom df, respectively. ⎛ Sx 1 -⎞ = Û-statistic Sx 2
  • Texas Instruments TI 84 | User Guide - Page 636
    2-SampÜTest for the alternative hypothesis s1 ƒ s2. Limits must satisfy the following: L bnd ∞ p = -2 where: ∫ 0 f ( x ,n 1 - 1 ,n 2 - 1 ) dx = ∫ f ( x ,n 1 - 1 ,n 2 - 1 ) dx U bnd [Lbnd,Ubnd] = lower and upper limits The Ü-statistic is used as the bound producing the smallest ...
  • Texas Instruments TI 84 | User Guide - Page 637
    where the computation of S and df are dependent on whether the variances are pooled. If the variances are not pooled: Sx 1 2 Sx 2 2 n1 n2 S = ⎛ Sx 1 2 Sx 2 2⎞ 2 n2
  • Texas Instruments TI 84 | User Guide - Page 638
    Financial Formulas This section contains financial formulas for computing time value of money, amortization, cash flow, interest-rate conversions, and days between dates. Time Value of Money i = [e ( y × ln ( x + 1 ) ) ] -1 where PMT y : x C/Y P/Y I% ƒ = = = = = C/Y ÷ P/Y (.01 × I%) ÷ C/Y...
  • Texas Instruments TI 84 | User Guide - Page 639
    The iteration used to compute i: -N 1 - (1 + i) 0 = PV + PMT × G i FV × ( 1 + i ) i -N I % = 100 × C ⁄ Y × [ e where: x y ( y × ln ( x + 1 ) ) - 1] = i = P/Y ÷ C/Y Gi = 1 + i × k where: k k = 0 for end-of-period payments = 1 for beginning-of-period payments PMT × G i - FV × i ln...
  • Texas Instruments TI 84 | User Guide - Page 640
    where: i = 0 -i PV + FV PMT = ----- × PV N Gi (1 + i) - 1 where: i ƒ 0 PMT = - ( PV + FV ) ÷ N where: i = 0 PMT × G i 1 - PMT × G i PV FV N i i (1 + i) where: i ƒ 0 PV = - ( FV + PMT × N ) where: i = 0 PMT × G i PMT × G i⎞ N FV 1 + i ) × ⎛ PV i i where: i ƒ 0 FV = - ( PV ...
  • Texas Instruments TI 84 | User Guide - Page 641
    Amortization If computing bal(), pmt2 = npmt Let bal(0) = RND(PV) Iterate from m = 1 to pmt2 ⎧ I m = RND [ RND 12 ( - i × bal ( m - 1 bal ( m ) = bal ( m - 1 ) - I m + RND ( PMT ) then: bal ( ) = bal ( pmt 2 ) Σ Pr n ( ) = bal ( pmt 2 ) - bal ( pmt 1 ) Σ Int ( ) = ( pmt 2 - pmt 1 + 1 ) × RND...
  • Texas Instruments TI 84 | User Guide - Page 642
    Cash Flow npv ( ) = CF 0 + ∑ CFj ( 1 + i ) j=1 N -S - 1(1 j - (1 + i i - nj where: ⎧ j ⎪ n ⎪ Sj = ⎨ ∑ i i = 1 ⎪ ⎪ 0 ⎩ j≥1 j = 0 Net present value is dependent on the values of the initial cash flow (CF0), subsequent cash flows (CFj), frequency of each cash flow (nj), ...
  • Texas Instruments TI 84 | User Guide - Page 643
    4Nom = 100 × CP × [ e 1 ÷ CP × ln ( x + 1 ) - 1] where: x Eff CP Nom = .01 × Eff = effective rate = compounding periods = nominal rate Days between Dates With the dbd( function, you can enter or compute a date within the range Jan. 1, 1950, through Dec. 31, 2049. Actual/actual day-count ...
  • Texas Instruments TI 84 | User Guide - Page 644
    + (number of days MB to M2) + DT2 + ( Y 2 - YB 4 where: M1 DT1 Y1 M2 DT2 Y2 MB DB YB month of first date day of first date year of first date month of second date day of second date year of second date base month (January) base day (1) base year (first year after leap year) Appendix B: ...
  • Texas Instruments TI 84 | User Guide - Page 645
    Important Things You Need to Know About Your TI-84 Plus TI-84 Plus Results There may be a number of reasons that your TI-84 Plus is not displaying the expected results; however, the most common solutions involve order of operations or mode settings. Your ...
  • Texas Instruments TI 84 | User Guide - Page 646
    ... by an angle mode setting. The Radian and Degree angle mode settings control how the TI-84 Plus interprets angle values. To change the angle mode ...Radian. 3. Press Í to save the angle mode setting. ERR:DIM MISMATCH Error Your TI-84 Plus displays the ERR:DIM MISMATCH error if you...
  • Texas Instruments TI 84 | User Guide - Page 647
    TI-84 Plus Identification Code Your graphing calculator has a unique identification (ID) code that you should record and keep. ...and then select 1:About. Your unique product ID code: _____ Backups Your TI-84 Plus is similar to a computer, in that it stores files and Apps that are important to you. ...
  • Texas Instruments TI 84 | User Guide - Page 648
    Apps TI-84 Plus Software Applications (Apps) is software that you can add to your calculator in the same way you would add software ... for peak performance in specific areas of study. You can find apps for the TI-84 Plus at the TI Online Store at education.ti.com. TI-Cares KnowledgeBase The TI-...
  • Texas Instruments TI 84 | User Guide - Page 649
    ...A displays the arguments and punctuation needed to execute the function or instruction. For example, stdDev(list[,freqlist]) is a function of the TI-84 Plus. The arguments are shown in italics. The arguments in brackets are optional and you need not...
  • Texas Instruments TI 84 | User Guide - Page 650
    ...upper. Your guess and several points around it are undefined. Examine a graph of the function. If the equation has a solution, change the bounds... upper. BREAK You pressed the É key to break execution of a program, to halt a DRAW instruction, or to stop evaluation of an expression. DATA TYPE You...
  • Texas Instruments TI 84 | User Guide - Page 651
    ... attempted to divide by zero. This error is not returned during graphing. The TI-84 Plus allows for undefined values on a graph. You...an argument to a function or instruction outside the valid range. This error is not returned during graphing. The TI-84 Plus allows for undefined values on a graph. See...
  • Texas Instruments TI 84 | User Guide - Page 652
    Error Type Error in Xmit Possible Causes and Suggested Remedies • The TI-84 Plus was unable to transmit an item. Check to see ... data (other than L1 through L6) from a TI-84 Plus to a TI.82. You attempted to transfer L1 through L6 from a TI-84 Plus to a TI.82 without using 5:Lists ...
  • Texas Instruments TI 84 | User Guide - Page 653
    ... or TblStart. You attempted to reference a variable or function that was transferred from the TI.82 and is not valid for the TI-84 Plus For example, you may have transferred UnN1 to the TI-84 Plus from the TI.82 and then tried to reference it. In Seq mode, you attempted to graph a phase ...
  • Texas Instruments TI 84 | User Guide - Page 654
    ...the instruction or function. You must delete items from memory before executing the instruction or function. Recursive problems return this error; for example, graphing the equation Y1=Y1. Branching out of an If/Then, For(, While, or...
  • Texas Instruments TI 84 | User Guide - Page 655
    ...calculation yielded a complex result. This error is not returned during graphing. The TI-84 Plus allows for undefined values on a graph. You... number that is beyond the range of the graphing calculator. This error is not returned during graphing. The TI-84 Plus allows for undefined values on a graph. ...
  • Texas Instruments TI 84 | User Guide - Page 656
    ... because it could not find a solution, or a solution does not exist. This error is not returned during graphing. The TI-84 Plus allows for undefined values on a graph. SINGULARITY expression in the solve( function or the equation solver contains a singularity (a point ...
  • Texas Instruments TI 84 | User Guide - Page 657
    ...A displays the arguments and punctuation needed to execute the function or instruction. For example, stdDev(list[,freqlist]) is a function of the TI-84 Plus. The arguments are shown in italics. The arguments in brackets are optional and you need not...
  • Texas Instruments TI 84 | User Guide - Page 658
    ... too small or too large to graph correctly. You may have attempted to zoom in or zoom out to a point that exceeds the TI-84 Plus's numerical range. A point or a line, instead of a box, is defined in ZBox. A ZOOM operation returned a math error. ZOOM • ...
  • Texas Instruments TI 84 | User Guide - Page 659
    Accuracy Information Computational Accuracy To maximize accuracy, the TI-84 Plus carries more digits internally than it displays. Values are stored in memory using up to 14 digits with a two-digit exponent You can store a value...
  • Texas Instruments TI 84 | User Guide - Page 660
    • In Full screen mode, @Y is calculated as (Ymax N Ymin)
  • Texas Instruments TI 84 | User Guide - Page 661
    Function sinh x, cosh x tanh x sinhL1 x coshL1 x tanhL1 x Range of Input Values |x|  230.25850929940 |x| < 10 100 |x| < 5 × 10 99 1  x < 5 × 10 99 L1 < x < 1 0  x < 10 100 |x| < 10 100 ‡x (real mode) ‡x (complex mode) x! L.5 _x  69, where x is a multiple of .5 Function ...
  • Texas Instruments TI 84 | User Guide - Page 662
    Appendix C: Service and Warranty Information Texas Instruments Support and Service For general information Home Page: KnowledgeBase and e-mail inquiries: Phone: ... (not toll-free): education.ti.com/support (972) 917-8324 For product (hardware) service Appendix C: Service ...
  • Texas Instruments TI 84 | User Guide - Page 663
    ... the U.S., Canada, Mexico, Puerto Rico and Virgin Islands: Always contact Texas Instruments Customer Support before returning a product for service....to the leaflet enclosed with this product (hardware) or contact your local Texas Instruments retailer/distributor. Appendix C: Service ...
  • Texas Instruments TI 84 | User Guide - Page 664
    Texas Instruments (TI) Warranty Information Customers in the U.S. and Canada Only One-Year Limited Warranty for Commercial Electronic Product This Texas Instruments ("TI") electronic product warranty extends ... IN DURATION TO THE ABOVE ONE-YEAR PERIOD. TEXAS INSTRUMENTS SHALL NOT BE LIABLE FOR LOSS ...
  • Texas Instruments TI 84 | User Guide - Page 665
    ...the original purchaser and user of the product. Warranty Duration. This Texas Instruments electronic product is warranted to the original purchaser for ...one (1) year from the original purchase date. Warranty Coverage. This Texas Instruments electronic product is warranted against defective materials ...
  • Texas Instruments TI 84 | User Guide - Page 666
    All Other Customers For information about the length and terms of the warranty, refer to your package and/or to the warranty statement enclosed with this product, or contact your local Texas Instruments retailer/distributor. Appendix C: Service and Warranty Information 663
  • Texas Instruments TI 84 | User Guide - Page 667
    Battery Information When to Replace the Batteries The TI-84 Plus uses five batteries: four AAA alkaline batteries and one ...to retain memory while you replace the AAA batteries. When the battery voltage level drops below a usable level, the TI-84 Plus: Displays this message when you turn on the unit. ...
  • Texas Instruments TI 84 | User Guide - Page 668
    ... of Replacing the Batteries Do not remove both types of batteries (AAA and silver oxide) at the same time. Do not allow the batteries to lose power ... or dismantle batteries. Replacing the Batteries To replace the batteries, follow these steps. Appendix C: Service and Warranty Information 665
  • Texas Instruments TI 84 | User Guide - Page 669
    ... of information stored in memory, you must turn off the graphing calculator. Do not remove the AAA batteries and the silver oxide battery simultaneously. ...SR44SW or 303 (or equivalent) silver oxide battery. 4. Replace the battery compartment cover. Turn the graphing calculator on and ...
  • Texas Instruments TI 84 | User Guide - Page 670
    ... a Difficulty To handle a difficulty, follow these steps. 1. If you cannot see anything on the screen, you may need to adjust the graphing calculator contrast. To darken the screen, press and release y, and then press and hold } until the display is sufficiently ...
  • Texas Instruments TI 84 | User Guide - Page 671
    • Select the type of data you want to delete, or select 1:All for a list of all variables of all types. A screen is displayed listing each variable of the type you selected and the number of bytes each variable is using. Press } and
  • Texas Instruments TI 84 | User Guide - Page 672
    Appendix C: Service and Warranty Information 669
  • Texas Instruments TI 84 | User Guide - Page 673
    ... mark) ...203, 322 (& (plot type, histogram) ...320 (' (minutes notation) ...84, 626 (( ) (parentheses) ...41 () (plot type, normal probability) ...322 ()Int( (...) ...53, 624 (* (plot type, modified box) ...320 (*f(x)dx operation on a graph ...131 (*row( ...244, 602 (*row+( ...602 (+ (addition) ...53,...
  • Texas Instruments TI 84 | User Guide - Page 674
    ... mode) .24, 72, 568 about ...514 Index above graph style ...101 abs( (absolute value) ...68, ...) ...597 bal( (amortization balance) . 399, 568 calculating schedules ...399 formula ...638 and (Boolean operator) ...90, 567 ANGLE menu ...84 angle modes ...22 angle( ...77, 567 animate graph style ...101 ...
  • Texas Instruments TI 84 | User Guide - Page 675
    ...residual list (RESID) ...302 axes format, sequence graphing ...161 axes, displaying (AxesOn, AxesOff) ....Calculate output option ...336, 339 cash flow calculating ...397 formula ...639 irr( (internal rate ...(Clear Entries) ...514, 570 B backing up calculator memory . 556, 562 bal( (amortization balance...
  • Texas Instruments TI 84 | User Guide - Page 676
    ......430 combinations (nCr) ...80, 591 compiling an assembly program 458, 567 complex modes (a+bi, re^... (plotting mode) ...23, 571 connecting two calculators 550, 551, 558 contact information ...659 contrast (display) ...6 convergence, sequence graphing . . 167 conversions 4Dec (to decimal) ...57, 573...
  • Texas Instruments TI 84 | User Guide - Page 677
    ... (cumSum( ) ...572 cursors ...9, 19 customer support and service ...659 D Data input option ...336...143 defragmenting ...541 Degree angle mode ...22, 84, 573 degrees notation (-) ...85, 620 delete ... Disp (display) ...450, 574 DispGraph (display graph) ...451, 574 display contrast ...6 display cursors ...
  • Texas Instruments TI 84 | User Guide - Page 678
    ... 588 DMS (degrees/minutes/seconds entry notation) ...84, 626 Dot (plotting mode) ...23, 575 dot graph style ...101...pixel mark (() ...203, 322 dr/dq operation on a graph ...151 DRAW menu ...186 Draw output ... ...16, 21, 575 e^( (exponential) ...55, 575 edit keys table ...18 Else ...438 End ...
  • Texas Instruments TI 84 | User Guide - Page 679
    ...461 displaying complex results 463 entering a calculation 460 Sierpinski triangle ...487 solving ... volume of a cylinder ...425 examples-miscellaneous calculating outstanding loan balances ...400 convergence ... model ...169 examplesóGetting Started graphing a circle ...92 exponential regression (ExpReg...
  • Texas Instruments TI 84 | User Guide - Page 680
    ... Func (function graphing mode) . . 23, 579 function graphing accuracy ...114 CALC (calculate menu) ...126 defining and displaying ...94 defining in the Y= ... ...112 format settings ...108 free-moving cursor ...113 graph styles ...101 maximum of (fMax( ) ...59 maximum of (fMax(...
  • Texas Instruments TI 84 | User Guide - Page 681
    ... geometcdf( ...382, 580 geometpdf( ...381, 580 Get( (get data from CBL 2™ or CBR™) . 455, ...580 GetCalc( (get data from TI-84 Plus) 454, 581 getDate, get current date ...581 getDtFmt, get date format ...581 getDtStr( (get date string) ...582 getKey ...
  • Texas Instruments TI 84 | User Guide - Page 682
    ... statistics alternative hypotheses ...338 bypassing editors ...339 calculating test results (Calculate) . . 339 confidence interval calculations . 339 data input or stats input ...337 entering argument values ...337 graphing test results (Draw) ...339 input descriptions table ...
  • Texas Instruments TI 84 | User Guide - Page 683
    ... LINK SEND menu ...553 linking receiving items ...559 to a CBL 2™ or CBR™ ...551 to a PC or Macintosh ...552 to a TI-84 Plus Silver Edition or TI-84 Plus ...562 transmitting items ...547 two TI-84 Plus units ...556 LinReg(a+bx) (linear regression) 310, 587 LinReg(...
  • Texas Instruments TI 84 | User Guide - Page 684
    ... displaying ...249 using in expressions ...256 using to graph a family of curves 112, ...251 using with ... 589 logistic regression formula ...629 M Manual ...313 Manual Linear Fit ...306, 313 marked... matrix ...229 displaying matrix elements ...224 editing matrix elements ...226 indicator ([ ]) ...228 ...
  • Texas Instruments TI 84 | User Guide - Page 685
    selecting ...223 viewing ...225 MATRX EDIT menu ...223 MATRX MATH menu ...236 MATRX NAMES menu ...228 max(...) ...59 minimum of a function (fMin( ) ...578 minimum operation on a graph ...129 minutes notation (') ...84, 626 ModBoxplot plot type (*) ...320 mode settings ...19 a+bi (complex rectangular) ....
  • Texas Instruments TI 84 | User Guide - Page 686
    ... (parametric graphing mode) . 23, ...594 parametric equations ...138 parametric graphing CALC (calculate operations on a graph) ...143 defining and editing ...138 free-moving cursor ...141 graph format ...139 graph styles ...137 moving the cursor to a ...
  • Texas Instruments TI 84 | User Guide - Page 687
    ...137 zoom operations ...143 parentheses ...41 path graph style ...101 Pause ...441, 594 pausing ... complex numbers ...75 polar graphing CALC (calculate operations on a graph) ...151 defining and displaying......445, 596 PRGM CTL (program control menu) . 435 PRGM EDIT menu ...434 PRGM EXEC menu ...434 PRGM...
  • Texas Instruments TI 84 | User Guide - Page 688
    ... ...427 deleting ...428 deleting command lines ...433 editing ...432 entering command lines ...430 executing ...431 inserting command lines ...433 instructions ...435 name (prgm) ...445, 596 renaming ...433 running assembly language program 458 stopping ...432 subroutines ...456 Prompt ......
  • Texas Instruments TI 84 | User Guide - Page 689
    ... (2nd) ...9 second key (2nd) ...3 seconds DMS notation (") ...84 sector ...542 Select( ...263, 606 selecting data points from a ..., 606 seq( (sequence) ...262, 606 sequence graphing axes format ...161 CALC (calculate menu) ...164 evaluating ...165 free-moving cursor ...162 graph format ...162 Index ...
  • Texas Instruments TI 84 | User Guide - Page 690
    ... the cursor to a value ...163 nonrecursive sequences ...157 recursive sequences ...158 selecting and deselecting ...156 TI-84 Plus versus TI-82 table ...173 tracing ...162 web plots ...165 window variables ...159 Y= editor ...155 ZOOM...
  • Texas Instruments TI 84 | User Guide - Page 691
    STAT CALC menu ...306 STAT EDIT menu ...299 stat list editor attaching formulas to ... list names ...286 detaching formulas from list names . 292 displaying ...283 edit-elements context ...296 editing elements of formula-generated lists ...293 editing list elements ...288 entering list names ...284 ...
  • Texas Instruments TI 84 | User Guide - Page 692
    ......27, 611 StoreGDB ...208, 611 StorePic ...206, 611 storing graph databases (GDBs) ...208 graph pictures ...205 variable values ...27 String4Equ( (string-to-equation conversions) ...420, 611 ......53, 626 sum( (summation) ...271, 612 support and service ...659 system variables ...628 T T ...
  • Texas Instruments TI 84 | User Guide - Page 693
    ...437, 584 thick graph style ...101 TI Connect™ ...552 TI-84 Plus key code diagram ...454 keyboard ...1 ...562 from a TI-84 Plus Silver Edition or TI-84 Plus ...562 stopping ...556 to a TI-84 Plus Silver Edition or TI-84 Plus ...556 transpose matrix (T) ...237, 621 trigonometric functions ...53 T-Test ...
  • Texas Instruments TI 84 | User Guide - Page 694
    axes ...110 calculator ...4 coordinates ...109 expressions ...110 functions ...100 grid ...109 labels ... 616 V v sequence function ...154 value operation on a graph ...126 variables complex ...25 displaying and... values ...27 equation solver ...64 graph databases ...25 graph pictures ...25 independent/...
  • Texas Instruments TI 84 | User Guide - Page 695
    ......While ...440, window variables function graphing ...parametric graphing ...polar graphing ...154 661 616 165 616 105 140 147 sequence graphing ...155 YFact zoom factor ...125 Y-VARS menu......119, 617 ZDecimal ...121, 617 zero operation on a graph ...127 ZInteger ...122, 617 ZInterval (one-...
  • Texas Instruments TI 84 | User Guide - Page 696
    ZPrevious (use previous window) ...619 ZSquare (set square pixels) ...121, 619 ZStandard (use standard window) . . 122, 619 Z-Test (one-sample z test) ...342, 619 ZTrig (trigonometric window) . . 122, 620 Index 693



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Texas Instruments TI 84 - Graphing Calculator, Programmable Manual