Casio CFX-9970G User manual

Dual Graph

Dual Graph lets you split the display between two different

screens, which you can then use to draw different graphs at the

same time. Dual Graph gives you valuable graph analysis

capabilities.

• You should be familiar with the contents of “8-3 Graph Function

Operations” before reading this chapter.

11-1 Before Using Dual Graph

11-2 Specifying the Left and Right View Window

Parameters

11-3 Drawing a Graph in the Active Screen

11-4 Displaying a Graph in the Inactive Screen

Chapter

168

P.7

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11-1 Before Using Dual Graph

1. From the Main Menu, enter the GRAPH Mode. Next, display the set up screen

and specify “Graph” for Dual Screen.

2. Press J.

• For further details about the function key menu at the bottom of the display, see

“8-1 Before Trying to Draw a Graph”.

• 8,192 bytes of memory are used whenever you set the Dual Screen setting to

“Graph”.

kAbout Dual Graph Screen Types

The screen on the left side of the display is called the

active screen

, and the graph

on the left side of the display is called the

active graph

. Conversely, the right side

is the

inactive screen

, which contains the

inactive graph

. Any function that you

execute while using Dual Graph is always applied to the active graph. To execute

a function on the right-side inactive graph, you must first make it active by moving

it into the active screen.

Active Screen

Actual graph drawing is done here.

Inactive Screen

Use the inactive screen to make copies of active screen graphs, and for the result of

Zoom operations.

• Indicators appear to the right of the formulas in the function memory list to tell

where graphs are drawn with Dual Graph.

Indicates inactive graph (on right side of

display)

Indicates graph drawn on both sides of display

Performing a draw operation with the function marked “ R” in the above example

screen causes the graph to be drawn on the right (inactive) side on the display.

The function marked “ B” is drawn on both sides of the graph.

Pressing 1(SEL) while one of the function’s is highlighted would causes its

“R” or “ B” indicator to be cleared. A function without an indicator is drawn as

the active graph (on the left side of the display).

169

Before Using Dual Graph 11 - 1

11-2 Specifying the Left and Right View Window

Parameters

You can specify different View Window parameter for the left and right sides of the

graph display.

uTo specify View Window parameters

Press !3 (V-Window) to display the View Window parameter setting screen

for the active (left side) graph.

•{INIT}/{TRIG}/{STD} ... View Window {normal initialization}/{trigonometric

initialization}/{standardization}

•{STO}/{RCL} ... View Window setting {store}/{recall}

•{RIGHT}/{LEFT} ... {active (left)}/{inactive (right)} screen View Window setting

swap

• Use the procedures described under “View Window (V-Window) Settings” to

input parameter values.

• Use the following key operations to change to different screens while inputting

View Window parameters for the left and right side screens.

While the View Window parameter setting screen for the active graph is shown:

• 6(RIGHT) ....displays the inactive graph View Window parameter setting

screen

While the View Window parameter setting screen for the inactive graph is

shown:

•6(LEFT) ......displays the active graph View Window parameter setting

screen

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170

11-3 Drawing a Graph in the Active Screen

You can draw graphs only in the active screen. You can then copy or move the

graph to the inactive screen.

uDrawing a graph in the active screen

Example To draw the graph of y= x(x+ 1) (x– 1)

Use the following View Window parameters:

Xmin = –2 Ymin = –2

Xmax = 2 Ymax = 2

Xscale = 0.5 Yscale = 1

Input the function.

v(v+b)(v-b)

Store the function.

Draw the graph.

6(DRAW) or w

171

11-4 Displaying a Graph in the Inactive Screen

There are two methods you can use to display a graph in the inactive screen. You

can copy a graph from the active screen to the inactive screen, or you can move

the graph from the active screen to the inactive screen. In both cases, you must

first draw the graph in the left-side active screen.

kBefore Displaying a Graph in the Inactive Screen

After drawing a graph in the active screen, press K, and the Dual Graph

function menu appears at the bottom of the display.

• {COPY} ... {copies active graph to inactive screen}

• {SWAP} ... {switches active screen and inactive screen}

• {PICT} ... {picture function}

kCopying the Active Graph to the Inactive Screen

Example To draw the graph for y= x(x+ 1) (x– 1) on the active screen

and the inactive screen

Use the following View Window parameters:

Active (Left) Screen Inactive (Right) Screen

View Window parameters View Window parameters

Xmin = –2 Ymin = –2 Xmin = –4 Ymin = –3

Xmax = 2 Ymax = 2 Xmax = 4 Ymax = 3

Xscale = 0.5 Yscale = 1 Xscale= 1 Yscale = 1

Assume that the function being graphed is stored in memory area Y1.

Draw the graph in the active screen. Copy the graph to the inactive

6(DRAW) (right) screen.

K1(COPY)

• The graph is reproduced using the inactive screen View Window parameters.

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172

kSwitching the Contents of the Active and Inactive Screens

Switch the screens.

K2(SWAP)

• Note that using 2(SWAP) to switch the screens also switches their View

Window parameters.

kDrawing Different Graphs on the Active Screen and

Inactive Screen

Example To draw the graphs of the following functions on the screens

noted:

Active Screen: y= x(x+ 1) (x– 1)

Inactive Screen: y= 2x2– 3

Use the View Window parameters shown below.

Active (Left) Screen Inactive (Right) Screen

View Window parameters View Window parameters

Xmin = –4 Ymin = –5 Xmin = –2 Ymin = –2

Xmax = 4 Ymax = 5 Xmax = 2 Ymax = 2

Xscale = 1 Yscale = 1 Xscale= 0.5 Yscale = 1

Assume that the functions being graphed are stored in memory areas Y1 and Y2.

Select the function for the graph that you want to end up in the inactive (right)

screen. 1(SEL)

Draw the graph in the active screen.

6(DRAW)

11 - 4 Displaying a Graph in the Inactive Screen

173

Swap the screens so the graph is on the inactive (right) screen.

K2(SWAP)

Select the function for the graph that you want in the now-empty active (left)

screen.

A1(SEL)

Draw the graph.

6(DRAW)

• At this point, you could perform a copy operation and superimpose the active

graph over the inactive graph.

K1(COPY)

• Pressing !6 (G↔T) lets you switch between display of the active and

inactive graphs, using the entire display for each.

!6(G↔T)

Displaying a Graph in the Inactive Screen 11 - 4

174

kOther Graph Functions with Dual Graph

After drawing a graph using Dual Graph, you can use the trace, zoom, sketch and

scroll functions. Note, however, that these functions are available only for the

active (left) graph. For details on using these functions, see “8-6 Other Graphing

Functions”.

• To perform any of the above operations on the inactive graph, first move the

inactive graph to the active screen.

• The graph screen will not scroll while a trace operation is being performed on

the active graph.

The following shows some example operations using the zoom function.

Example 1 To use box zoom to enlarge the graph of y= x(x+ 1) (x– 1)

Use the following View Window parameters for the active graph.

Xmin = –2 Ymin = –2

Xmax = 2 Ymax = 2

Xscale = 0.5 Yscale = 1

Assume that the function is already stored in memory area Y1.

Press 6(DRAW) or wto draw the graph.

!2(Zoom)1(BOX)

• Use the cursor keys to move the pointer to

one of the corners of the box and then press

• Use the cursor keys to move to the opposite corner of the box and then press

wto enlarge the graph.

• The zoom operation changes the View Window parameters of the inactive

screen, so the graph in the inactive screen is cleared.

11 - 4 Displaying a Graph in the Inactive Screen

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