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
5
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5-1-1
Sample Graphs
5-1 Sample Graphs
kk
kk
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.

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5-1-2
Sample Graphs
○○○○○
Example To graph y= 3x2
Procedure
1mGRPH •TBL
2dvxw
35(DRAW) (or w)
Result Screen

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5-1-3
Sample Graphs
kk
kk
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.
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5-1-4
Sample Graphs
○○○○○
Example Input the functions shown below and draw their graphs
Y1 = 2x2– 3, r2 = 3sin2 θ
Procedure
1mGRPH •TBL
23(TYPE)b(Y=)cvx-dw
3(TYPE)c(r=)dscvw
35(DRAW)
Result Screen
(Param) (INEQUA) (Plot)

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5-1-5
Sample Graphs
kk
kk
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

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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)

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5-2 Controlling What Appears on a Graph Screen
kk
kk
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
T θ min ... T, θ minimum values
T θ max ... T, θ maximum values
T θ ptch ... T, θ 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 θ 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 θ max
is less than T θ min, T θ 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, θ pitch value to be too large, relative to the
differential between the T, θ min and T, θ max settings. If the settings you make cause
the T, θ pitch value to be too small relative to the differential between the T, θ min and
T, θ 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

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kk
kk
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
T θ min = 0, T θ max = 2π (rad), T θ 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,
T θ min = 0, T θ max = 2π (rad), T θ 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 θ
min, T θ max, T θ ptch values to change
automatically in accordance with the current
angle unit setting as shown below.
Deg Mode:
T θ min = 0, T θ max = 360, T θ ptch = 6
Gra Mode:
T θ min = 0, T θ max = 400, T θ ptch = 400/60
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