Differences in parametric and function graphing, Setting the graph mode, Defining parametric equations on the y= editor – Texas Instruments PLUS TI-89 User Manual

Page 147

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130 Chapter 7: Parametric Graphing

07PARAM.DOC TI-89/TI-92 Plus: Parametric Graphing (English) Susan Gullord Revised: 02/23/01 10:56 AM Printed: 02/23/01 2:13 PM Page 130 of 6

Use 3 to set

Graph = PARAMETRIC

before you define equations or

set Window variables. The Y= Editor and the Window Editor let you
enter information for the current

Graph

mode setting only.

To graph a parametric equation, you must define both its

x

and

y

components. If you define only one component, the equation cannot
be graphed. (However, you can use single components to generate
an automatic table as described in Chapter 13.)

Be careful when using implied multiplication with

t

. For example:

Enter:

Instead of:

Because:

t

ù

cos(60)

tcos(60)

tcos

is interpreted as a user-defined

function called

tcos

, not as implied

multiplication.

In most cases, this refers to a nonexistent
function. So the

TI

-89 / TI-92 Plus

simply

returns the function name, not a number.

The Y= Editor maintains an independent function list for each

Graph

mode setting. For example, suppose:

¦

In

FUNCTION

graphing mode, you define a set of

y(x)

functions.

You change to

PARAMETRIC

graphing mode and define a set of

x

and

y

components.

¦

When you return to

FUNCTION

graphing mode, your

y(x)

functions

are still defined in the Y= Editor. When you return to

PARAMETRIC

graphing mode, your

x

and

y

components are still

defined.

Differences in Parametric and Function Graphing

This chapter assumes that you already know how to graph y(x)
functions as described in Chapter 6: Basic Function Graphing.
This section describes the differences that apply to parametric
equations.

Setting the
Graph Mode

Defining Parametric
Equations on the
Y= Editor

Note: When using t, be sure
implied multiplication is valid
for your situation.

Tip: You can use the Define
command from the Home
screen (see Appendix A) to
define functions and
equations for any graphing
mode, regardless of the
current mode.

Enter x and y components
on separate lines.

You can define
xt1(t) through xt99(t) and
yt1(t) through yt99(t).

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