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Chapter 1         

A-11

Copyright © Houghton Mifflin Company.  All rights reserved.

Evaluate 

Y

1

 at 

x

 = 10 by recalling the previous entry with

2nd

 

ENTER

 (

ENTRY

) , edit the 7 to 10 by pressing  

 and typing over the 7, and press 

ENTER

 .

&

1.2  Functions and Graphs     

When you are asked to 

estimate 

or 

approximate 

 an output or an input value, you can use your

calculator in the following ways:

¥

tracing a graph

(Sections 1.1.5, 1.1.6)

¥

close values obtained from a table of function values 

(End of Section 1.2.2)

When  you are asked to 

find 

or 

determine 

an output or an input value,  you should use your

calculator in the following ways:

¥

evaluating an output on the home screen

(Section 1.1.7)

¥

find a value using the 

AUTO

 or 

ASK

 features of the table

(Section  1.2.1)

¥

determine an input using the solver   

(Section 1.2.2)

1.2.1 DETERMINING OUTPUTS

Function outputs can be determined by evaluating on t h e

home screen, as discussed in 1.1.7.  You can also evaluate  functions using the calculatorÕs

TABLE

.  When you use the table, you can ask  for specific  output values corresponding to t h e

inputs you enter or generate a list of input values that  begin with 

TblMin

 and differ by 

D

Tbl

and their corresponding outputs.  

LetÕs use the 

TABLE 

to determine the  output of the  function 

v(t) 

= 3.622(1.093)

t

 

when 

=85.  

Even though you could use any of the function locations, we choose to use 

Y

1

.  Press 

Y=

 ,  clear

the function locations, and enter  3.622(1 .093)^

X

  in location 

Y

1

 of the 

Y= 

list.  

After entering the function 

v(t)

 in 

Y

1, 

choose the 

TABLE

SETUP

 menu.

Press 

2nd

 

WINDOW

 (

TblSet

) .

To generate a list of values beginning with an input of
80  with the table values differing by  1, enter  80  in the

TblMin 

location, 1 in the 

D

Tbl 

location, and choose 

AUTO

in the 

Indpnt:

 and 

Depend:

 locations.

Remember that you ÒchooseÓ a particular setting by
positioning the blinking cursor over that setting and

pressing 

ENTER

 .

Press 

2nd

 

GRAPH

 (

TABLE

) , and observe the list of

input and output values.

Notice that you can scroll through the table with 

,

, and/or 

.

The table values may be rounded in the table display.
You can see more of the output by moving to the value
and looking at the bottom of the screen.

Summary of Contents for TI-82 STATS

Page 1: ...TER FORMAT and choose the settings shown in Figure 3 If you do not have the darkened choices shown in each of the figures below use the arrow keys to move the blinking cursor over the setting you want...

Page 2: ...ator in hand go through each of the following 1 CALCULATING You can type in lengthy expressions just make sure that you use parentheses when you are not sure of the calculator s order of operations As...

Page 3: ...mes it is beneficial to store numbers or expressions for later recall To store a number type the number on the display and press STO ALPHA type the letter in which you wish to store the value and then...

Page 4: ...ulators Copyright Houghton Mifflin Company All rights reserved TI 83 Choose 2 Goto to position the cursor to the place the error occurred so that you can correct the mistake or choose 3 Quit to begin...

Page 5: ...use X as the input variable If there are any previously entered equations that you will no longer use delete them from the graphing list Position the cursor on the line with the equation and press CLE...

Page 6: ...e graph 1 1 3 MANUALLY CHANGING THE VIEW OF A GRAPH If you do not have a good view of the graph or if you do not see the graph change the view with one of the ZOOM options or manually set the WINDOW W...

Page 7: ...If this happens follow the instructions in part 8 to manually set Ymin and Ymax and or the scale values to obtain a better view 1 1 4 TI 83 AUTOMATICALLY CHANGING THE VIEW OF THE GRAPH If your view o...

Page 8: ...notice that the graph scrolls to the left or right as you move the cursor past the edge of the current viewing screen 1 1 6 ESTIMATING OUTPUTS You can estimate outputs from the graph using TRACE It is...

Page 9: ...es 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 B...

Page 10: ...evaluate in the Y list Using x as the input variable enter the function in the Y list Return to the home screen by pressing 2nd MODE QUIT as many times as necessary Y1 1000 1 0 05 x You could use any...

Page 11: ...hen you use the table you can ask for specific output values corresponding to the inputs you enter or generate a list of input values that begin with TblMin and differ by DTbl and their corresponding...

Page 12: ...ariable However you must specify the variable you are using TI 82 The form of the expression you type in the solver is Solve expression variable initial guess You will use the solve command throughout...

Page 13: ...low If there is more than one solution to an equation you need to give the solver an approximate location for each answer Suppose you are given q x 8x2 54 65x 163 and asked to find what input s corres...

Page 14: ...eals that guesses for the input values where these two graph intersect are X 10 4 X 3 6 Return to the home screen with 2nd MODE QUIT TI 82 Enter the expression on the right with the key strokes Error...

Page 15: ...usly you will see a screen something like the one shown on the right If this is the case press CLEAR and you should then have the screen shown in the previous box Let us return to the example where we...

Page 16: ...n that you use to scroll to the end of the number The value may be given in scientific notation and the portion that you cannot see determines the location of the decimal point See Basic Operation 3 o...

Page 17: ...to mark the location of the upper bound for the x intercept Press to move the cursor nearer to where the graph crosses the horizontal axis for the guess and press ENTER The TI 82 uses upper to mean t...

Page 18: ...tient function f g x f x g x Enter Y1 Y2 in Y7 to obtain the composite function fog x f g x Your calculator will evaluate and graph these constructed functions Although it will not give you an algebra...

Page 19: ...by connecting function outputs wherever the function is defined it will connect the two pieces unless you tell it not to do so by pressing MODE use and to choose Dot and press ENTER Now take a closer...

Page 20: ...t line of the function and press until you highlight the slanted line to the left of Y1 Press ENTER six times The dotted line to the left of Y1 indicates the graph will draw without joining the output...

Page 21: ...eginning of this Guide Enter the following data Year 1992 1993 1994 1995 1996 1997 Tax 2541 3081 3615 4157 4703 5242 Position the cursor in the first location in list L1 Enter the x data into list L1...

Page 22: ...ntain the number of years since a certain year here 1992 instead of actual years That is you want to align the x data In this example you are to shift all the data values 1992 units to the left of whe...

Page 23: ...the data and draw the scatter plot ZoomStat does not reset the x and y axis tick marks You should do this manually with WINDOW if you want different spacing between the marks TI 83 Access the Y graphi...

Page 24: ...press ENTER Reverse the process to turn Plot1 back on A scatter plot is turned on when its name on the Y screen is darkened TI 83 lists can be named and stored in the calculator s memory for later re...

Page 25: ...our TI 83 to compute first differences of any list Press 2nd STAT LIST OPS Error Use to scroll to the right to see the remainder of the first differences Use to scroll back to the left 1 4 7 FINDING A...

Page 26: ...necessary to first clear any previously entered function from the location of the Y list Note If you see the TI 83 screen shown to the right instead of the screen displayed above turn off the diagnos...

Page 27: ...and output lists are not L1 and L2 respectively you must specify the lists input list first behind the LinReg ax b command Second press Y and clear any function in the Y1 loca tion With the cursor in...

Page 28: ...nstructor may ask you to copy what is on your graphics screen to paper If so use the following to more accurately perform this task TI 82 Press GRAPH to return the graph to the screen Press TRACE and...

Page 29: ...Press GRAPH to view the scatter plot To activate program LSLINE press PRGM followed by the number of the location of the program and press ENTER The program first displays the scatter plot you constr...

Page 30: ...ted to name the list L1 1984 1985 1987 1990 1992 First enter the data in the list L1 Press 2nd MODE QUIT to return to the home screen You can view any list from the home screen by typing its name and...

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