Casio CFX-9970G User manual

Dynamic Graph

The Dynamic Graph Mode of this calculator shows you real-time

representations of changes in a graph as coefficients and terms

are changed. It lets you see what happens to a graph when such

changes are made. For example, you can see the graph change

as illustrated here as the value of coefficientA changes in the

formula y= Ax2.

13-1 Before Using Dynamic Graph

13-2 Storing, Editing, and Selecting Dynamic Graph

Functions

13-3 Drawing a Dynamic Graph

13-4 Using Dynamic Graph Memory

13-5 Dynamic Graph Application Examples

Chapter

182

13-1 Before Using Dynamic Graph

In the Main Menu, select the DYNA icon and enter the DYNA Mode. When you do

the dynamic function list appears on the screen.

Selected memory area

Press

and

to move.

• {SEL} ... {dynamic Graph draw/non-draw status}

• {DEL} ... {function delete}

• {TYPE} ... {function type specification}

• {VAR} ... {coefficient menu}

• {B·IN} ... {menu of built-in functions*}

• {RCL} ... {recall and execution of Dynamic Graph conditions and screen data}

* The built-in function menu contains the following seven functions.

•Y=AX+B

•Y=A(X+B)2+C

•Y=AX2+BX+C

•Y=AX^3+BX2+CX+D

•Y=Asin(BX+C)

•Y=Acos(BX+C)

•Y=Atan(BX+C)

P.184

P.190

183

P.117

13-2 Storing, Editing, and Selecting Dynamic

Graph Functions

In addition to the seven built-in functions, you can input 20 of your own Dynamic

Functions. Once a function is stored in memory, it can be edited and selected

when needed for graphing.

All of the procedures you need to use for storing, editing, and selecting Dynamic

Graph functions are identical to those you use in the GRAPH Mode. For details,

see “8-3 Graph Function Operations”.

• Dynamic Graphs can be one of the following three types only: rectangular

coordinate (Y=), polar coordinate (r=), and parametric.

• You cannot use Dynamic Graph with X=constant or inequality graphs of

functions stored in the GRAPH or TABLE Mode.

• If you try to use Dynamic Graph with a function that does not contain a

variable, a “No Variable” error occurs. If this happens, press Ato clear the

error.

• Dynamic Graph always uses blue to draw graphs. This cannot be changed.

184

13-3 Drawing a Dynamic Graph

The following is the general procedure you should use to draw a Dynamic Graph.

1. Select or input a function.

2. Define the dynamic coefficient.

• This is a coefficient whose value changes in order to produce the different

graphs.

• If the dynamic coefficient is already defined from a previous operation, you can

skip this step.

3. Assign values to each of the coefficients of the function.

4. Specify the range of the dynamic coefficient.

• If the range of the dynamic coefficient is already defined from a previous

operation, you can skip this step.

5. Specify the speed of the draw operation.

• If the speed is already defined from a previous operation, you can skip this

step.

6. Draw the Dynamic Graph.

uTo set Dynamic Graph conditions

Example To use Dynamic Graph to graph y= A (x–1)2–1 as the value of

A changes from 2 to 5 in increments of 1

Use the following View Window parameters.

Xmin = – 6.3 Ymin = – 3.1

Xmax = 6.3 Ymax = 3.1

Xscale = 1 Yscale = 1

1. Input the function you want to graph. Here we will edit a built-in function to

input our function.

5(B·IN)

c1(SEL)

123456

185

2. Display the coefficient menu.

4(VAR) or w

Function being graphed

Coefficient whose value will change

Coefficients in function

• {SEL} ... {selects dynamic coefficient}

• {RANG} ... {dynamic coefficient range settings}

• {SPEED} ... {dynamic Graph drawing speed}

• {AUTO} ... {automatic setting of end and pitch values to match coefficient

values}

• {DYNA} ... {dynamic Graph draw operation}

• The calculator automatically makes the first variable it finds the dynamic

coefficient. To select a different coefficient, use cand fto move the

highlighting to the coefficient you want to use, and the press 1(SEL).

• The letters representing each coefficient are variables, and so the values that

appears on the screen are those currently assigned to each variable. If a

complex number is assigned to a variable, only the integer part appears.

• All variables contained in the currently selected function appear on the display

in alphabetical order.

• If there is more than one function that can be drawn using Dynamic Graph, the

message “Too Many Functions” appears on the display.

• If the value of the dynamic variable is zero and you press 5(AUTO), the

dynamic variable automatically changes to 1 and Dynamic Graphing is

performed.

3. Specify the value of each coefficient.

cw-bw-bw

• If there is more than one coefficient, use fand cto move the highlighting

to each coefficient and input its value.

• Values you input for coefficients are also assigned to the corresponding

variable.

4. Recall the dynamic coefficient range setting menu.

2(RANG)

• The range you set remains in effect until you change it.

Drawing a Dynamic Graph 13 - 3

Dynamic coefficient

Start value

End value

Increment

186

5. Change the range settings.

cwJ

• If you want to change the Dynamic Graph

speed, press 3(SPEED).

You can set the Dynamic Graph speed to any one of the following settings.

Stop & Go: Each step of the Dynamic Graph draw operation is performed

each time you press w.

Slow: 1/2 Normal

Normal: Default speed

Fast: Double Normal

1. Use fand cto move the highlighting to the speed you want to use.

2. Press 1(SEL) to set the highlighted speed.

uTo start the Dynamic Graph draw operation

There are four different variations for Dynamic Graphing.

k10-time Continuous Drawing

Select “Stop” as the draw type (Dynamic Type) to perform 10-time continuous

drawing. With this drawing style, 10 versions of the graph are drawn and then the

draw operation stops automatically.

Example To use 10-time continuous drawing to draw the same graph

that you drew in the previous example (page 184)

1. Display the coefficient value specification menu. Next, display the set up

screen and specify “Stop” for Dynamic Type and then press J.

2. Start drawing of the Dynamic Graph.

6(DYNA)

↓

13 - 3 Drawing a Dynamic Graph

123456

P.188

P.7

187

→

←

↓↑

→

←

The above sequence continues to repeat from 1through 4.

Graph is drawn 10 times.

• While the message “One Moment Please!” is shown on the display, you can

press Ato interrupt drawing of the graph and return to the coefficient range

setting display.

• Pressing Awhile the Dynamic Graph is being drawn changes to the drawing

speed setting display. The draw operation is suspended at this time, and you

can view the graph by pressing !6 (G↔T).

• If you do not want the function and coefficient values shown on the display with

the graph, use the graph function set up display to switch Graph Func “Off”.

• Pressing 5(AUTO) draws up to 11 versions of the Dynamic Graph, starting

from the start (Start) value of the dynamic coefficient.

kContinuous Drawing

When the Dynamic Graph draw type (Dynamic Type) is set to “Cont” (continuous),

drawing of the Dynamic Graph continues until you press A.

Example To continuously draw the same graph that you input in the

previous example (page 184)

1. Display the coefficient value specification menu. Next, display the set up

screen and specify “Cont” for Dynamic Type and then press J.

2. Start drawing of the Dynamic Graph.

6(DYNA)

···→

←···

Drawing a Dynamic Graph 13 - 3

P.6

P.7

188

• Pressing Awhile the Dynamic Graph is being drawn changes to the drawing

speed setting display. The draw operation is suspended at this time, and you

can view the graph by pressing !6 (G↔T).

• Selecting “Cont” and then executing a Dynamic Graph operation causes the

graphing operation to repeat until you press A. Be sure that you do not forget

to stop the Dynamic Graph operation after you are finished.Allowing it to

continue will run down the batteries.

kStop & Go Drawing

By selecting “STOP & GO tg” as the graph drawing speed, you can draw graphs

one by one.A graph is drawn each time you press w.

Example To use Stop & Go to draw the same graph that you drew in the

previous example (page 184)

1. Display the coefficient value specification display and press 3(SPEED).

2. Use fand cto select “STOP & GO (tg)” and press 1(SEL) J.

3. Start drawing of the Dynamic Graph.

6(DYNA)

···→

←···

• Pressing Awhile the Dynamic Graph is being drawn changes to the drawing

speed setting display. The draw operation is suspended at this time, and you

can view the graph by pressing !6 (G↔T).

kOverwriting

By turning “On” the locus (Locus) setting of the Dynamic Graph, graphs are

sequentially drawn on the same display. The newest graph drawn is easily

identifiable because its color is different from graphs that were previously on the

display.

Example To switch the locus setting on and draw the same graph that

you drew in the previous example (page 184)

1. Display the coefficient value specification menu. Next, display the set up

screen and specify “On” for Locus and then press J.

13 - 3 Drawing a Dynamic Graph

189

Drawing a Dynamic Graph 13 - 3

2. Start drawing of the Dynamic Graph.

6(DYNA)

···→

←···

• Pressing Awhile the Dynamic Graph is being drawn changes to the drawing

speed setting display. The draw operation is suspended at this time, and you

can view the graph by pressing !6 (G↔T).

• Depending on the complexity of the graphs being drawn, it may take some

time for them to appear on the display.

• Trace and zoom features cannot be used on a Dynamic Graph screen.

uTo adjust the Dynamic Graph speed

You can use the following procedure to adjust the Dynamic Graph speed while the

draw operation is taking place.

1. While a Dynamic Graph draw operation is being performed, press Ato

change to the speed adjustment menu.

•{

tgtg

tg} ... {Each step of the Dynamic Graph draw operation is performed each

time you press w.}

•{>}/{

g}/{

h} ... {slow (1/2 speed)}/{normal (default speed)}/{fast (double speed)}

• {STO} ... {stores graph conditions and screen data in Dynamic Graph memory}

• {DEL} ... {deletes Dynamic Graph screen data}

2. Press the function key (1to 4) that corresponds to the speed you want to

change to.

• To clear the speed adjustment menu without changing anything, press w.

• Press !6(G↔T) to return to the graph screen.

P.190

190

13-4 Using Dynamic Graph Memory

You can store Dynamic Graph conditions and screen data in Dynamic Graph

memory for later recall when you need it. This lets you save time, because you

can recall the data and immediately begin a Dynamic Graph draw operation. Note

that you can store one set of data in memory at any one time.

The following is all of the data that makes up a set.

• Graph functions (up to 20)

• Dynamic Graph conditions

• Set up screen settings

• View Window contents

• Dynamic Graph screen

uTo save data in Dynamic Graph memory

1. While a Dynamic Graph draw operation is being performed, press Ato

change to the speed adjustment menu.

2. Press 5(STO) to store the data.

• If there is already data stored in Dynamic Graph memory, the above operation

replaces it with the new data.

uTo recall data from Dynamic Graph memory

1. Display the Dynamic Graph function list.

2. Press 6(RCL) to recall all the data stored in Dynamic Graph memory.

• Data recalled from Dynamic Graph memory replaces the calculator’s current

graph functions, draw conditions, and screen data. The previous data is lost

when it is replaced.

uTo delete Dynamic Graph screen data

1. Press A6 (DEL).

2. Press 1(YES) to delete the Dynamic Graph screen data, or 6(NO) to

abort the operation without deleting anything.

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