U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and...

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Technical Skills Guide Copyright © 2011 by Nelson Education Ltd. USING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph y = 2x + 8, press Y= 2 X, T, U, n 1 8 GRAPH . The graph will be displayed as shown. 2. Enter all linear equations in the form y 5 mx 1 b. If m or b are fractions, enter them between brackets. For example, enter 2x + 3y = 7 in the form y 52 2 3 x 1 7 3 , as shown. Make sure you use the (2) key when entering negative numbers. 3. Press GRAPH to show the graph. 4. Press TRACE to determine the coordinates of any point on the graph. Use and to cursor along the graph. Press ZOOM 8 ENTER TRACE to trace using integer intervals. If you are working with several graphs at the same time, use and (the up and down arrow keys) to scroll between graphs. Other pages for this topic: TI-Nspire GSP Back to TI-83/84 menu Back to Topics menu

Transcript of U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and...

Page 1: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATOREntering and Graphing a Function

1. Enter the equation of the function in the equation editor. To graph y � 2x � 8, press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

The graph will be displayed as shown.

2. Enter all linear equations in the form y 5 mx 1 b.

If m or b are fractions, enter them between brackets.

For example, enter 2x � 3y � 7 in the form y 5 223x 1

73

, as shown.

Make sure you use the

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

key when entering negative numbers.

3. Press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to show the graph.

4. Press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to determine the coordinates of any point on the graph.

Use

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to cursor along the graph.

Press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to trace using

integer intervals.

If you are working with several graphs at the same time, use

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

(the up and down arrow keys) to scroll between graphs.

Other pages for this topic: TI-Nspire GSP

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Page 2: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATOREditing a Function

1. Return to the equation editor and edit the function.

To change y � 2x � 8 to y � x2 � 8, press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

DELETE

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

DELETE

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

2. Return to the graph of the function.

Press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

. The graph will be displayed as shown.

Other pages for this topic: TI-Nspire GSP

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Back to Topics menu

Page 3: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORChanging the Window SettingsThe window settings can be changed to show a graph on a different partof the xy-axes.

1. Enter the function in the equation editor.

For example, enter y � x2 � 3x � 4 in the equation editor.

2. Use the Window function to set the boundaries for each axis.

To display the relation when 2 2 # x # 5 and 0 # y # 14,

press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

,

then

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

,

then

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

,

then

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

,

then

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

,

then

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

,

and finally

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

3. Press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to show the function.

Other pages for this topic: TI-Nspire

Back to TI-83/84 menu

Back to Topics menu

Page 4: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORUsing the Function Table FeatureA function can be displayed in a table of values.

1. Enter the function in the equation editor.

To enter y 5 20.1x3 1 2x 1 3,

press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2ND MODE DEL

ALPHA X, T, U, n STAT

MATH MATRIX PRGM

X–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalX2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

2. Set the start point and step size for the table.

• Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

. The cursor is beside “TBLStart �”.

• To start at x 5 25, press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

. The cursor is now

beside “DTbl 5”. (D, the Greek capital letter delta, means change in.)

• To increase the x-value by ones, press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

3. To view the table, press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

Use

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to move up and down the table. Notice that you can look

at greater or lesser x-values than those in the original range.

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Page 5: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORUsing the Split Screen

1. The split screen can be used to see a graph and the equation editor at the same time.

• Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and cursor to “Horiz”.

• Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to select this, and then press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to return to the home screen.

• Enter y 5 x2 in Y1 of the equation editor, and then press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

2. The split screen can also be used to see a graph and a table at the same time.

• Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

, and move the cursor to “G–T” (Graph-Table).

• Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to select this, and then press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

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M11 TA21

M11 TA22

Page 6: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORDetermining the Zeros of a FunctionTo determine the zeros of a function, use the Zero operation.

1. Start by entering the function in the equation editor.

For example, enter y 5 2 1x 1 32 1x 2 52 in the equation editor.

Then press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

2. Access the zero operation.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

3. Use

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to cursor along the curve to any point that is left of

the right zero.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to set the left bound.

4. Cursor along the curve to any point that is right of the right zero.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to set the right bound.

5. Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

again to display the coordinates of the zero

(the x-intercept).

6. Repeat to determine the coordinates of the left zero.

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M11 TA8

M11 TA9

M11 TA10

M11 TA11

Page 7: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

M11 TA12

M11 TA13

M11 TA14

M11 TA15

M11 TA12M11 TA12

USING THE TI-83/84 GRAPHING CALCULATORDetermining the Maximum or Minimum Value of a FunctionThe least or greatest value can be found using the Minimum operation orthe Maximum operation.

1. Enter and graph the function.

For example, enter y 5 22x2 2 12x 1 30. Graph the function, and adjust the window to get a graph like the one shown. This graph opens downward, so it has a maximum.

2. Use the Maximum operation.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

For parabolas that open upward,

press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to use the Minimum operation.

3. Use

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

and

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to cursor along the curve to any point that is left of

the maximum value.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to set the left bound.

4. Cursor along the curve to any point that is right of the maximum value.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

to set the right bound.

5. Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

again to display the coordinates of the maximum value.

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Page 8: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATORDetermining the Points of Intersection of Two Functions

1. Enter both functions in the equation editor.

For example, enter y 5 5x 1 4 into Y1 and y 5 22x 1 18 into Y2.

2. Graph both functions.

Press Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

Adjust the window settings until the point of intersection is displayed.

3. Use the intersect operation.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

4. Determine a point of intersection.

You will be asked to verify the two curves and enter a guess (optional) for the point of intersection.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

after each screen appears.

The point of intersection is exactly (2, 14).

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M11 TA7

Page 9: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATOREvaluating Trigonometric Ratios and Determining Angles

1. Put the calculator in degree mode.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

Scroll down and across to “Degree”. Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

2. Use the

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

,

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

, or

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

key to calculate a trigonometric ratio.

To determine the value of sin 54°,

press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

3. Use SIN21, COS21, or TAN21 to calculate an angle.

To determine the angle whose cosine is 0.6,

press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

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M11 ti5-p 445

Page 10: U USING THE TI-83/84 GRAPHING CALCULATOR UUSING THE TI-83/84 GRAPHING CALCULATOR Entering and Graphing a Function 1. Enter the equation of the function in the equation editor. To graph

Technical Skills GuideCopyright © 2011 by Nelson Education Ltd.

USING THE TI-83/84 GRAPHING CALCULATOREvaluating Powers and Roots

1. Evaluate the power 5.32.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

2. Evaluate the power 7.55.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

3. Evaluate the power 822.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

4. Evaluate the square root of 46.1.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

5. Evaluate the cube root of 37.

Press

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2ND MODE DEL

ALPHA X, T, U, n STAT

MATH MATRIX PRGM

X–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalX2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2 3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

/

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

Y= WINDOW ZOOM

2nd MODE

ALPHA X, T, U, n

MATH MATRIX PRGM

x–1 SIN COS

VARS

TAN

ENTER

CLEAR

APPS

ZDecimalx2

LOG

LN

STOR

ON

TRACE GRAPH

, ( )

7 8 9 C

4 5 6

1 2

DEL

STAT

3

0 . (2)

4

3

2

1

^

.

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