Casio ALGEBRA FX 2.0 Plus User manual

19990401

Graphing

Sections 5-1 and 5-2 of this chapter provide basic information

you need to know in order to draw a graph. The remaining

sections describe more advanced graphing features and functions.

Select the icon in the Main Menu that suits the type of graph you

want to draw or the type of table you want to generate.

•GRPH

TBL … General function graphing or number table generation

•CONICS …Conic section graphing

(5-1-5 ~5-1-6, 5-11-17~5-11-21)

•RUN

MAT … Manual graphing (5-6-1~5-6-4)

•DYNA … Dynamic Graph (5-8-1 ~5-8-6)

•RECUR … Recursion graphing or number table generation

(5-9-1 ~5-9-8)

5-1 Sample Graphs

5-2 Controlling What Appears on a Graph Screen

5-3 Drawing a Graph

5-4 Storing a Graph in Picture Memory

5-5 Drawing Two Graphs on the Same Screen

5-6 Manual Graphing

5-7 Using Tables

5-8 Dynamic Graphing

5-9 Graphing a Recursion Formula

5-10 Changing the Appearance of a Graph

5-11 Function Analysis

Chapter

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19990401

5-1-1

Sample Graphs

5-1 Sample Graphs

kHow to draw a simple graph (1)

Description

To draw a graph, simply input the applicable function.

Set Up

1. From the Main Menu, enter the GRPH •TBL Mode.

Execution

2. Input the function you want to graph.

Here you would use the V-Window to specify the range and other parameters of the

graph. See 5-2-1.

3. Draw the graph.

19990401

5-1-2

Sample Graphs

○○○○○

Example To graph y= 3x2

Procedure

1mGRPH •TBL

2dvxw

35(DRAW) (or w)

Result Screen

19990401

5-1-3

Sample Graphs

kHow to draw a simple graph (2)

Description

You can store up to 20 functions in memory and then select the one you want for graphing.

Set Up

1. From the Main Menu, enter the GRPH •TBL Mode.

Execution

2. Specify the function type and input the function whose graph you want to draw.

You can use the GRPH •TBL Mode to draw a graph for the following types of expres-

sions: rectangular coordinate expression, polar coordinate expression, parametric

function, X = constant expression, inequality.

3(TYPE) b(Y =) ... rectangular coordinates

c(r=) ... polar coordinates

d(Param) ... parametric function

e(X = c) ... X = constant function

f(INEQUA)b(Y>)~e(Y<) ... inequality

g(CONV)b('Y=)~f('Y<) ... changes the function type

Repeat this step as many times as required to input all of the functions you want.

Next you should specify which of the functions among those that are stored in memory

you want to graph (see 5-3-6). If you do not select specific functions here, the graph

operation will draw graphs of all the functions currently stored in memory.

3. Draw the graph.

20011101

19990401

5-1-4

Sample Graphs

○○○○○

Example Input the functions shown below and draw their graphs

Y1 = 2x2– 3, r2 = 3sin2

Procedure

1mGRPH •TBL

23(TYPE)b(Y=)cvx-dw

3(TYPE)c(r=)dscvw

35(DRAW)

Result Screen

(Param) (INEQUA) (Plot)

19990401

5-1-5

Sample Graphs

kHow to draw a simple graph (3)

Description

Use the following procedure to graph the function of a parabola, circle, ellipse, or hyperbola.

Set Up

1. From the Main Menu, enter the CONICS Mode.

Execution

2. Use the cursor fc keys to specify one of the function type as follows.

3. Input values for the required variables.

4. Graph the function.

Graph Type Function

Parabola X = A (Y – K)2+ H

X = AY2+ BY + C

Y = A (X – H)2+ K

Y = AX2+ BX + C

Circle (X – H)2+ (Y – K)2= R2

AX2+ AY2+ BX + CY + D = 0

Ellipse (X – H)2(Y – K)2

–––––––– + –––––––– = 1

A2B2

Hyperbola (X – H)2(Y – K)2

–––––––– – –––––––– = 1

A2B2

(Y – K)2(X – H)2

–––––––– – –––––––– = 1

A2B2

19990401

5-1-6

Sample Graphs

○○○○○

Example Graph the circle (X–1)2+ (Y–1)2= 22

Procedure

1mCONICS

2ccccw

3bwbwcw

46(DRAW)

Result Screen

(Parabola) (Ellipse) (Hyperbola)

19990401

5-2 Controlling What Appears on a Graph Screen

kV-Window (View Window) Settings

Use the View Window to specify the range of the x- and y-axes, and to set the spacing

between the increments on each axis. You should always set the V-Window parameters you

want to use before graphing.

uTo make V-Window settings

1. From the Main Menu, enter the GRPH •TBL Mode.

2. Press !K(V-Window) to display the V-Window setting screen.

Rectangular coordinate parameter

Xmin … Minimum x-axis value

Xmax … Maximum x-axis value

Xscale … Spacing of x-axis increments

Xdot … Value that corresponds to one x-axis dot

Ymin … Minimum y-axis value

Ymax … Maximum y-axis value

Yscale … Spacing of y-axis increments

Polar coordinate parameter

min ... T,

minimum values

max ... T,

maximum values

ptch ... T,

pitch

3. Press cto move the highlighting and input an appropriate value for each parameter,

pressing wafter each.

• {INIT}/{TRIG}/{STD}… V-Window {initial settings}/{initial settings using specified

angle unit}/{standardized settings}

•{STO}/{RCL} … V-Window setting {store}/{recall}

After settings are the way you want them, press ior !i(QUIT) to exit the V-Window

setting screen.*1

5-2-1

Controlling What Appears on a Graph Screen

*1Pressing wwithout inputting anything while k

is displayed exits the View Window setting

screen.

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5-2-2

Controlling What Appears on a Graph Screen

uV-Window Setting Precautions

•Inputting zero for T

ptch causes an error.

•Any illegal input (out of range value, negative sign without a value, etc.) causes an error.

•An error occurs when Xmax is less than Xmin, or Ymax is less than Ymin.When T

max

is less than T

min, T

ptch becomes negative.

•You can input expressions (such as 2π) as V-Window parameters.

•When the V-Window setting produces an axis that does not fit on the display, the scale

of the axis is indicated on the edge of the display closest to the origin.

•Changing the V-Window settings clears the graph currently on the display and

replaces it with the new axes only.

•Changing the Xmin or Xmax value causes the Xdot value to be adjusted automatically.

Changing the Xdot value causes the Xmax value to be adjusted automatically.

•Apolar coordinate (r=) or parametric graph will appear coarse if the settings you

make in the V-Window cause the T,

pitch value to be too large, relative to the

differential between the T,

min and T,

max settings. If the settings you make cause

the T,

pitch value to be too small relative to the differential between the T,

min and

max settings, on the other hand, the graph will take a very long time to draw.

•The following is the input range for V-Window parameters.

–9.999999999E97 to 9.999999999E97

19990401

kInitializing and Standardizing the V-Window

uTo initialize the V-Window

1. From the Main Menu, enter the GRPH •TBL Mode.

2. Press !K(V-Window).

This displays the V-Window setting screen.

3. Press 1(INIT) to initialize the V-Window.

Xmin = –6.3, Xmax = 6.3, Xscale = 1 Xdot = 0.1

Ymin = –3.1, Ymax = 3.1, Yscale = 1

min = 0, T

max = 2π (rad), T

ptch = 2π /60 (rad)

uTo initialize the V-Window in accordance with an angle unit

In step 3 of the procedure under “To initialize the V-Window” above, press 2(TRIG) to

initialize the V-Window in accordance with an angle unit.

Xmin = –3π(rad), Xmax = 3π (rad), Xscale = π /2 (rad), Xdot = π /21 (rad),

Ymin = –1.6, Ymax = 1.6, Yscale = 0.5

uTo standardize the V-Window

The following are the standard V-Window settings of this calculator.

Xmin = –10, Xmax = 10, Xscale = 1, Xdot = 0.15873015,

Ymin = –10, Ymax = 10, Yscale = 1,

min = 0, T

max = 2π (rad), T

ptch = 2π /60 (rad)

In step 3 of the procedure under “To initialize the V-Window” above, press 3(STD) to

standardize V-Window settings in accordance with the above.

5-2-3

Controlling What Appears on a Graph Screen

#Initialization and standardization cause T

min, T

max, T

ptch values to change

automatically in accordance with the current

angle unit setting as shown below.

Deg Mode:

min = 0, T

max = 360, T

ptch = 6

Gra Mode:

min = 0, T

max = 400, T

ptch = 400/60

20011101

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