Casio FX-9750GII-SC User Guide - Page 137

Calculating the Point of Inter of Two Graphs, Example, Graph the two functions shown below - calculator graphing

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(Y-ICPT) ... y-intercept (ISCT) ... Intersection of two graphs (E)(Y-CAL) ... y-coordinate for given x-coordinate (E)(X-CAL) ... x-coordinate for given y-coordinate (E)(°dx) ... Integral value for a given range 4. When there are multiple graphs on the screen, the selection cursor (I) is located at the lowest numbered graph. Press D and A to move the cursor to the graph you want to select. 5. Press U to select the graph where the cursor is located and display the value produced by the analysis. When an analysis produces multiple values, press C to calculate the next value. Pressing B returns to the previous value. • Either of the following can cause poor accuracy or even make it impossible to obtain solutions. - When the graph of the solution obtained is a point of tangency with the x-axis - When a solution is an inflection point I Calculating the Point of Intersection of Two Graphs Use the following procedure to calculate the point of intersection of two graphs. 1. Draw the graphs. 2. Press (G-SLV)(ISCT). When there are three or more graphs, the selection cursor (I) appears at the lowest numbered graph. 3. Press D and A to move the cursor to the graph you want to select. 4. Press U to select the first graph, which changes the shape of the cursor from I to R. 5. Press D and A to move the cursor to the second graph. 6. Press U to calculate the point of intersection for the two graphs. When an analysis produces multiple values, press C to calculate the next value. Pressing B returns to the previous value. Example Graph the two functions shown below, and determine the point of intersection between Y1 and Y2. Y1 = x + 1, Y2 = x2 5-31

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5-31
(Y-ICPT) ...
y
-intercept
(ISCT) ... Intersection of two graphs
(
)
(Y-CAL) ...
y
-coordinate for given
x
-coordinate
(
)
(X-CAL) ...
x
-coordinate for given
y
-coordinate
(
)
(
dx
) ... Integral value for a given range
4. When there are multiple graphs on the screen, the selection cursor (
) is located at the
lowest numbered graph. Press
and
to move the cursor to the graph you want to
select.
5. Press
to select the graph where the cursor is located and display the value produced by
the analysis.
When an analysis produces multiple values, press
to calculate the next value.
Pressing
returns to the previous value.
• Either of the following can cause poor accuracy or even make it impossible to obtain
solutions.
- When the graph of the solution obtained is a point of tangency with the
x
-axis
- When a solution is an inflection point
Calculating the Point of Intersection of Two Graphs
Use the following procedure to calculate the point of intersection of two graphs.
1. Draw the graphs.
2. Press
(G-SLV)
(ISCT). When there are three or more graphs, the selection cursor
(
) appears at the lowest numbered graph.
3. Press
and
to move the cursor to the graph you want to select.
4. Press
to select the first graph, which changes the shape of the cursor from
to
.
5. Press
and
to move the cursor to the second graph.
6. Press
to calculate the point of intersection for the two graphs.
When an analysis produces multiple values, press
to calculate the next value.
Pressing
returns to the previous value.
Example
Graph the two functions shown below, and determine the point of
intersection between Y1 and Y2.
Y1 =
x
+ 1,
Y2 =
x
2