Texas Instruments TI-85 User Manual
Page 9
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.