Casio FX-9750GII-SC User Guide - Page 138

Determining the Coordinates for Given Points, Calculating the lntegral Value for a Given Range

Page 138 highlights

• You can calculate the point of intersection for rectangular coordinate graphs (Y=f(x) type) and inequality graphs (Y f(x), Y f(x), Y Pf(x) or Y Of(x)) only. • Either of the following can cause poor accuracy or even make it impossible to obtain solutions. - When a solution is a point of tangency between two graphs - When a solution is an inflection point I Determining the Coordinates for Given Points The following procedure describes how to determine the y-coordinate for a given x, and the x-coordinate for a given y. 1. Draw the graph. 2. Select the function you want to perform. When there are multiple graphs, the selection cursor (I) appears at the lowest numbered graph. (G-SLV)(E)(Y-CAL) ... y-coordinate for given x (E)(X-CAL) ... x-coordinate for given y 3. Use DA to move the cursor (I) to the graph you want, and then press U to select it. 4. Input the given x-coordinate value or y-coordinate value. Press U to calculate the corresponding y-coordinate value or x-coordinate value. Example Graph the two functions shown below and then determine the ycoordinate for x = 0.5 and the x-coordinate for y = 2.2 on graph Y2. Y1 = x + 1, Y2 = x(x + 2)(x - 2) • When there are multiple results for the above procedure, press C to calculate the next value. Pressing B returns to the previous value. • The X-CAL value cannot be obtained for a parametric function graph. I Calculating the lntegral Value for a Given Range Use the following procedure to obtain integration values for a given range. 1. Draw the graph. 2. Press (G-SLV)(E)(°dx). When there are multiple graphs, this causes the selection cursor (I) to appear at the lowest numbered graph. 3. Use DA to move the cursor (I) to the graph you want, and then press U to select it. 4. Use BC to move the lower limit pointer to the location you want, and then press U. 5. Use C to move the upper limit pointer to the location you want. 6. Press U to calculate the integral value. 5-32

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5-32
• You can calculate the point of intersection for rectangular coordinate graphs (Y=
f
(
x
) type)
and inequality graphs (Y
f
(
x
), Y
f
(
x
), Y
f
(
x
) or Y
f
(
x
)) only.
• Either of the following can cause poor accuracy or even make it impossible to obtain
solutions.
- When a solution is a point of tangency between two graphs
- When a solution is an inflection point
Determining the Coordinates for Given Points
The following procedure describes how to determine the
y
-coordinate for a given
x
, and the
x
-coordinate for a given
y
.
1. Draw the graph.
2. Select the function you want to perform. When there are multiple graphs, the selection
cursor (
) appears at the lowest numbered graph.
(G-SLV)
(
)
(Y-CAL) ...
y
-coordinate for given
x
(
)
(X-CAL) ...
x
-coordinate for given
y
3. Use
to move the cursor (
) to the graph you want, and then press
to select it.
4. Input the given
x
-coordinate value or
y
-coordinate value.
Press
to calculate the corresponding
y
-coordinate value or
x
-coordinate value.
Example
Graph the two functions shown below and then determine the
y
-
coordinate for
x
= 0.5 and the
x
-coordinate for
y
= 2.2 on graph Y2.
Y1 =
x
+ 1,
Y2 =
x
(
x
+ 2)(
x
– 2)
• When there are multiple results for the above procedure, press
to calculate the next
value. Pressing
returns to the previous value.
• The X-CAL value cannot be obtained for a parametric function graph.
Calculating the lntegral Value for a Given Range
Use the following procedure to obtain integration values for a given range.
1. Draw the graph.
2. Press
(G-SLV)
(
)
(
dx
). When there are multiple graphs, this causes the
selection cursor (
) to appear at the lowest numbered graph.
3. Use
to move the cursor (
) to the graph you want, and then press
to select it.
4. Use
to move the lower limit pointer to the location you want, and then press
.
5. Use
to move the upper limit pointer to the location you want.
6. Press
to calculate the integral value.