Texas Instruments TI-83 Guide

Using a TI-83/TI-84 Graphing Utility:

I. Find and store the roots/zeros of

( ) 12 3

f x x x

= − +

Graph Y

12 3

x x

− +

Zoom 6 for the standard window… [-10, 10]

x [-10, 10]

Zoom Out (Zoom 3 ENTER) to view the other root.

Find the left root:

Press 2

TRACE 2: zero.

Left Bound? Press ENTER on

0 3

x y

= =

Right Bound? Move cursor to the right to get a negative y-coordinate.

Press ENTER on

.85106383 6.488456

x y

= = −

Guess? Press ENTER.

Store left root as A:

Press 2

MODE (to QUIT GRAPH screen and view HOME screen).

Press X,T,

,n STO



ALPHA A ENTER.

Find the right root:

Press 2

TRACE 2: zero.

Left Bound? Move cursor to the right to get a negative y-coordinate.

Press ENTER on

11.06383 7.357628

x y

= = −

Right Bound? Move cursor to the right to get a positive y-coordinate.

Press ENTER on

11.914894 1.9859665

x y

= =

Guess? Press ENTER.

Store right root as B:

Press 2

MODE (to QUIT GRAPH screen and view HOME screen).

Press X,T,

,n STO



ALPHA B ENTER.

( ) 12 3

f x x x

= − +

has roots/zeros at approximately

(0.225,0)

and

(11.745,0)

Calculate A – B.

A – B

≈

-11.48912529 or A – B

≈

-11.489

NOTE: If you used the rounded values to compute the new problem, you would get

A – B

≈

-11.49…. which is incorrect!

Find and store the intersections of

( ) cos( )

f x x

and

( ) 3 2

g x x

= −

Graph Y

cos( )

and Y

3 2

−

Are you in radian mode?

Zoom 6 for the standard window… [-10, 10]

x [-10, 10]

Change the window to view the intersection points….[-3, 3]

x [-5, 5]

Press GRAPH.

Find the left intersection point:

Press 2

TRACE 5: intersect.

First Curve? Move cursor left closer to the left point of intersection.

Press ENTER .

Second Curve? Press ENTER.

Guess? Press ENTER.

Store left x-coordinate as A:

Press 2

MODE (to QUIT GRAPH screen and view HOME screen).

Press X,T,

,n STO



ALPHA A ENTER.

Store left y-coordinate as C:

Press 2

MODE (to QUIT GRAPH screen and view HOME screen).

Press ALPHA Y STO



ALPHA C ENTER.

Find the right intersection point:

Press 2

TRACE 5: intersect.

First Curve? Move cursor right closer to the right point of intersection.

Press ENTER .

Second Curve? Press ENTER.

Guess? Press ENTER.

Store right x-coordinate as B:

Press 2

MODE (to QUIT GRAPH screen and view HOME screen).

Press X,T,

,n STO



ALPHA B ENTER.

Store left y-coordinate as D:

Press 2

MODE (to QUIT GRAPH screen and view HOME screen).

Press ALPHA Y STO



ALPHA D ENTER.

( ) cos( )

f x x

and

( ) 3 2

g x x

= −

have points of intersection at approximately

(

)

0.930,0.597

−

and

(

)

0.930,0.597

Calculate A – B.

A – B

≈

-1.860981941 or A – B

≈

-1.861

NOTE: If you used the rounded values to compute the new problem, you would get

A – B

≈

-1.86…. which is incorrect!

Calculate C + D.

C + D

≈

1.194880677 or C + D

≈

1.195

NOTE: If you used the rounded values to compute the new problem, you would get

C + D

≈

1.194…. which is incorrect!

Find maximum and minimum values of

3 2

( ) 5 3

f x x x x

= − − −

Graph Y

3 2

5 3

x x x

− − −

Zoom 6 for the standard window… [-10, 10]

x [-10, 10]

Find the maximum value of

3 2

( ) 5 3

f x x x x

= − − −

Press 2

TRACE 4: maximum.

Left Bound? Move cursor to the left to get a y-coordinate that is less than

the relative max.

Press ENTER on

1.489362 1.075089

x y

= − = −

Right Bound? Move cursor to the right to get a y-coordinate that is less than the max.

Press ENTER on

0.4255319 1.130472

x y

= − = −

Guess? Press ENTER.

3 2

( ) 5 3

f x x x x

= − − −

has a relative maximum value of 0 at

= −

See the table of values!

Find the minimum value of

3 2

( ) 5 3

f x x x x

= − − −

Press 2

TRACE 3: minimum.

Left Bound? Move cursor to the right to get a y-coordinate that is more than

the relative min.

Press ENTER on

0.63829787 6.338856

x y

= = −

Right Bound? Move cursor to the right to get a y-coordinate that is less than the max

Press ENTER on

2.3404255 7.359824

x y

= = −

Guess? Press ENTER.

3 2

( ) 5 3

f x x x x

= − − −

has a relative minimum value of -9.481 at

1.667

≈

Other manuals for TI-83

This manual suits for next models

Table of contents

Other Texas Instruments Calculator manuals

Texas Instruments

Texas Instruments CBL User manual

Texas Instruments

Texas Instruments GraphiTI User manual

Texas Instruments

Texas Instruments TI-15 User manual

Texas Instruments

Texas Instruments TI-95 User manual

Texas Instruments

Texas Instruments TI-5019 Manual

Texas Instruments

Texas Instruments Voyage 200 Manual

Texas Instruments

Texas Instruments TI-nspire CAS Touchpad User manual

Texas Instruments

Texas Instruments MathPrint TI-30X Pro Manual

Texas Instruments

Texas Instruments TI-Nspire Manual

Texas Instruments

Texas Instruments TI-83 - Plus Graphing Calculator User manual

Texas Instruments

Texas Instruments TI-84 Plus Silver Edition User manual

Texas Instruments

Texas Instruments Voyage 200 Manual

Texas Instruments

Texas Instruments TI-84 - Plus - Edition Graphing Calculator User manual

Texas Instruments

Texas Instruments TI-30 eco RS User manual

Texas Instruments

Texas Instruments TI-Nspire User manual

Texas Instruments

Texas Instruments TI-10 User manual

Texas Instruments

Texas Instruments TI-30X - IIS Scientific Calculator User manual

Texas Instruments

Texas Instruments -83 Plus Silver Edion User manual

Texas Instruments

Texas Instruments TI-30X - IIS Scientific Calculator User manual

Texas Instruments

Texas Instruments TI-83 - Plus Graphing Calculator User manual

Texas Instruments

Texas Instruments TI-36X Pro User manual

Texas Instruments

Texas Instruments TI-82 STATS User manual

Texas Instruments

Texas Instruments Voyage 200 Manual

Texas Instruments

Texas Instruments Titanium TI-89 Instruction Manual

Popular Calculator manuals by other brands

HP 35s Instruction guide

Casio

Casio CFX-9970G user guide

LEXIBOOK

LEXIBOOK EL350 instruction manual

HP HP-97 Service manual

Citizen

Citizen SDC-414N instruction manual

Casio

Casio fx-3800P Operation manual

Canon

Canon P26-DHIII instructions

Citizen

Citizen 520DPA instruction manual

Sharp

Sharp EL-9900 Operation manual

Casio

Casio FX-9860GII - SOFTWARE VERSION 2-00 quick start guide

Casio

Casio MS-7UC user guide

Sharp

Sharp WriteView EL-W506 operation instruction

Casio

Casio FC-200 owner's manual

Casio

Casio fx-CG50 instructions

HP HP-67 Owner's handbook

Royal

Royal CBC2000 instruction manual

Heathkit

Heathkit IC-2009 Assembly manual

Universal

Universal UNV-15907 owner's manual