
7. GRAPHING MORE THAN ONE FUNCTION
Use the and keys to move the cursor to a new space. Define a function in the usual way. When
F6 (DRAW) is pressed, both (all) functions in the function list will be graphed together. The zoom
facilities will now work on all functions at once. Once is pressed, you can toggle among the
functions defined using the and keys.
To prevent a function from graphing, move the cursor to the function and press F1 (SEL). Notice
that the equals sign becomes unshaded. Repeat to restore a graph.
Each graph can be coloured blue, orange or green. Highlight a function in the list and press
F4 (COLR) to choose.
8. DEFINING RELATED FUNCTIONS
A function can be defined in terms of a function that has already been defined. (Eg., Y2 = Y1 – 1)
Press VARS F4 F1 (Y) to refer to the name of a function. Do not use the keyboad Y ( ALPHA – ).
A family of functions can be graphed by using a list of values in place of a coefficient.
For example, Y1 = X
2
– {0,1,2} defines three quadratic functions, y = x
2
, y = x
2
– 1 and y = x
2
– 2.
Use SHIFT x and SHIFT ÷ for the curly brackets.
9. TABLES OF VALUES
Instead of a graph, a table of values for the same functions as those on the list in Graph mode can be
obtained. Use MENU 7 to enter Table mode and F6 (TABL) to show a table. The values in the table can
be scrolled using the keys; note the large print values at the bottom right of the screen.
Return to the function list with EXIT . Use F5 RANG to adjust the starting point (Start), ending point
(End) and the x-increment (pitch) for the table, by over-writing them. Press EXIT when done.
10. AUTOMATIC CALCULATION
When graphs are showing, various aspects of functions can be automatically obtained from the Graph
Solve menu using SHIFT F5 (G.SOLVE). Select an aspect with the appropriate F key. The syntax for
these aspects varies.
For example, press F1 (ROOT) to find function roots. Use to select a function and EXE to
register your choice. The first root (from left to right) will be found. (A small square at upper right shows
the calculator is working.) Just press to find the next root. (Watch the cursor move along the graph!)
Finding points of intersection with F5 (ISCT) requires you to select each of a pair of functions, if
there are more than two graphs on the screen.
Definite integrals require you to select the lower and then the upper limits, pressing EXE after each.
To find numerical derivatives of functions, turn on the Derivative command in SET UP
( SHIFT MENU ). Then tracing will show numerical derivatives as well as coordinates at each point.
Derivatives will also be given in Table mode.
11. OTHER GRAPHS
In the function list for either Graph or Table modes, F3 (TYPE) allows you to choose various kinds of
graphs, including polar graphs, parametric graphs, vertical graphs and graphs of inequalities. Once you
have made a choice, the X.θ.T key will work differently: r replaces y and X.θ.T now gives rather than
X for polars, for example. The top line of the screen records your choice.
For polar and parametric graphs, graph settings are still chosen from F3 (V
.
WINDOW). To see the
current settings for T and , use the key to advance past the bottom of the viewing window.
Graphs of conic sections are available in CONICS mode (MENU 9). First use the and keys to
select the appropriate conic, followed by EXE . Enter the coefficients, choose a suitable viewing window
(with SHIFT F3 ) and then press F6 (DRAW).
Dynamic graphs, consisting of graphs of families of related functions are available in DYNA mode
(MENU 6). A number of standard families are built in (B-IN), and one of the coefficients has to be
identified as the variable (VAR). A value is needed for any other coefficients. For the variable coefficient,
a range (RANGE) of suitable values is needed. Press F6 (DYNA) to start dynamic graphing and AC
/ON
to stop it.
© 1998 Barry Kissane, Institute of Education, Murdoch University. All rights reserved.
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