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Texas Instruments TI-85 User Manual

Page 9

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Chapter 1

B-9

Copyright © Houghton Mifflin Company. All rights reserved.

Estimate the value of A where A = 1000(1 + 0.05)

x

when

x = 5

,

x = 7

, and

x = 10

.

Press

EXIT

F2

(

RANGE

) (or

WINDOW

) . If you do not

have the settings shown to the right, reset the values.

Press

F3

(

ZOOM

)

F3

(

ZOUT

) . After the graph

finishes drawing, press

ENTER

to once more

enlarge your view of the graph.

(Press

EXIT

F2

(

RANGE

) and observe the values

now defining the graphics screen.)

Note that (5, 1450) is a point

on the screen, not a point on the

graph of the function.

Press

F4

(

TRACE

) and use

to move as close as you

can to x = 5. (Your screen may look slightly different
than the one shown to the right.)

Continue pressing

and notice that the values 7 and

10 cannot be obtained by tracing in this view. Therefore,
choose values close to these numbers to obtain estimates
such as A is approximately $1386.80 when x = 7 and A
is about $1637.37 when x = 10.

Because the number 5, not a

value close to 5 is shown,

A = $1276.28 when x = 5.

¥ If you had used the original range (window) with

xMax

=

10

, and traced, you should

obtain the exact value A = 1500 when x = 10 because 10, not a value close to 10, is shown
when tracing.

¥ If you want Ònice, friendlyÓ values displayed for x when tracing, set

xMin

and

xMax

so

that

xMax

-

xMin

is a multiple of 12.6, the width of the

ZDECM

viewing screen. For

instance, if you set

xMin = 0

and

xMax = 12.6

in the example above, the exact values when

x = 5

,

x = 7

, and

x = 10

are displayed when you trace. Another view that gives friendly

values is

xMin =

5

and

xMax = 20.2

since 25.2 = 2(12.6). Try it!

1.1.7 EVALUATING OUTPUTS

The values obtained by this evaluation process are

actual output values of the equation, not estimated values such as those generally obtained
by tracing.

Begin by entering the equation whose output you want to evaluate in the

y(x)=

list.

Even though you can use any of the locations, let us say for this illustration you have

y1

= 1000(1 + 0.05^

x

).

To evaluate an output while the graph is on the screen:

Draw the graph of

y1

in a view containing the input

you intend to use. (If the input value is not between

xMin

and

xMax

, an error message results when you

evaluate.)

Press

MORE

MORE

F1

(

EVAL

) , and type the input value.