EBK PRECALCULUS W/LIMITS

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 2.2, Problem 50E

To determine

Use a graphing utility to graph the function.

Expert Solution

Answer to Problem 50E

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 1

Explanation of Solution

Calculation:

Consider the polynomial function

y=4x3+4x2−8x−8

Plot the graph of the polynomial function step by step,

First ON the calculator and press Y= button to access the Y= editor and enter the quadratic equations of the parabola.

The display is as shown below

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 2

Set the range by pressing WINDOW and make sure that the negative sign at the starting of the expression comes from minus sign in the brackets which is to the left of the ENTER button.

The display is as shown below

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 3

Press GRAPH to plot the graph of the above polynomial equation

The display is as shown below

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 4

To determine

Use the graph to approximate any x -intercepts of the graph

Expert Solution

Answer to Problem 50E

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 5

Explanation of Solution

Calculation:

Consider the polynomial function

y=4x3+4x2−8x−8

Press TRACE to find out the x−axis intercepts (zeros) of the graph being displayed.

The display is as shown below

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 6

.Press yellow colored key and then CALC to analyze the current graph functions.

Select “zero” in the second line and then press ENTER.

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 7

The current graph is displayed with “Left Bound?” in the bottom-left corner Press Arrow keys to select the x−value for the left bound of the interval and then press ENTER.

The display is as shown below

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 8

The current graph is displayed with “Right Bound?” in the bottom-left corner Press Arrow keys to select the x−value for the right bound of the interval and then press ENTER.

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 9

The current graph is displayed with “Guess?” in the bottom-left corner Press Arrow keys (or enter a value) to select a point near the zero of the function, between the bounds, and then press ENTER.

The display is as shown below

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 10

The x−axis intercept nearest to the value of the guess is displayed with its coordinates.

Hence, we have an x−intercept at x=−1.414

The display will be

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 11

Repeat the steps from step 5to8 with a guess for the other value of x−axis intercept.

Hence, we have another x−intercept at x=−1

The display is as shown below

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 12

Repeat the steps from step 5to8 again with a guess for the other value of x−axis intercept.

Hence, we have another x−intercept at x=1.414

The display is as shown below

EBK PRECALCULUS W/LIMITS, Chapter 2.2, Problem 50E , additional homework tip 13

To determine

Find any real zeros of the function algebraically.

Expert Solution

Answer to Problem 50E

x=−1,±2

Explanation of Solution

Calculation:

Consider the polynomial function

y=4x3+4x2−8x−8

Solving the equation y=0 , we get

4x3+4x2−8x−8=04(x3+x2−2x−2)=0(x+1)(x2−2)=0

Hence,

x=−1,±2

To determine

Compare the results of part (c) with part (b) .

Expert Solution

Answer to Problem 50E

The results obtained analytically match with the results of graphing utility tool as shown above.

Explanation of Solution

Calculation:

Consider the polynomial function

y=4x3+4x2−8x−8

Hence, the results obtained analytically match with the results of graphing utility tool as shown above.

Chapter 2.2, Problem 49E

Chapter 2.2, Problem 51E

Chapter 2 Solutions

EBK PRECALCULUS W/LIMITS

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Prob. 64E Ch. 2.6 - Prob. 65E Ch. 2.6 - Prob. 66E Ch. 2.6 - Prob. 67E Ch. 2.6 - Prob. 68E Ch. 2.6 - Prob. 69E Ch. 2.6 - Prob. 70E Ch. 2.6 - Prob. 71E Ch. 2.6 - Prob. 72E Ch. 2.6 - Prob. 73E Ch. 2.6 - Prob. 74E Ch. 2.6 - Prob. 75E Ch. 2.6 - Prob. 76E Ch. 2.6 - Prob. 77E Ch. 2.6 - Prob. 78E Ch. 2.6 - Prob. 79E Ch. 2.6 - Prob. 80E Ch. 2.6 - Prob. 81E Ch. 2.6 - Prob. 82E Ch. 2.7 - Prob. 1E Ch. 2.7 - Prob. 2E Ch. 2.7 - Prob. 3E Ch. 2.7 - Prob. 4E Ch. 2.7 - Prob. 5E Ch. 2.7 - Prob. 6E Ch. 2.7 - Prob. 7E Ch. 2.7 - Prob. 8E Ch. 2.7 - Prob. 9E Ch. 2.7 - Prob. 10E Ch. 2.7 - Prob. 11E Ch. 2.7 - Prob. 12E Ch. 2.7 - Prob. 13E Ch. 2.7 - Prob. 14E Ch. 2.7 - Prob. 15E Ch. 2.7 - Prob. 16E Ch. 2.7 - Prob. 17E Ch. 2.7 - Prob. 18E Ch. 2.7 - Prob. 19E Ch. 2.7 - Prob. 20E Ch. 2.7 - Prob. 21E Ch. 2.7 - Prob. 22E Ch. 2.7 - Prob. 23E Ch. 2.7 - Prob. 24E Ch. 2.7 - Prob. 25E Ch. 2.7 - Prob. 26E Ch. 2.7 - Prob. 27E Ch. 2.7 - Prob. 28E Ch. 2.7 - Prob. 29E Ch. 2.7 - Prob. 30E Ch. 2.7 - Prob. 31E Ch. 2.7 - Prob. 32E Ch. 2.7 - Prob. 33E Ch. 2.7 - Prob. 34E Ch. 2.7 - Prob. 35E Ch. 2.7 - Prob. 36E Ch. 2.7 - Prob. 37E Ch. 2.7 - Prob. 38E Ch. 2.7 - Prob. 39E Ch. 2.7 - Prob. 40E Ch. 2.7 - Prob. 41E Ch. 2.7 - Prob. 42E Ch. 2.7 - Prob. 43E Ch. 2.7 - Prob. 44E Ch. 2.7 - Prob. 45E Ch. 2.7 - Prob. 46E Ch. 2.7 - Prob. 47E Ch. 2.7 - Prob. 48E Ch. 2.7 - Prob. 49E Ch. 2.7 - Prob. 50E Ch. 2.7 - Prob. 51E Ch. 2.7 - Prob. 52E Ch. 2.7 - Prob. 53E Ch. 2.7 - Prob. 54E Ch. 2.7 - Prob. 55E Ch. 2.7 - Prob. 56E Ch. 2.7 - Prob. 57E Ch. 2.7 - Prob. 58E Ch. 2.7 - Prob. 59E Ch. 2.7 - Prob. 60E Ch. 2.7 - Prob. 61E Ch. 2.7 - Prob. 62E Ch. 2.7 - Prob. 63E Ch. 2.7 - Prob. 64E Ch. 2.7 - Prob. 65E Ch. 2.7 - Prob. 66E Ch. 2.7 - Prob. 67E Ch. 2.7 - Prob. 68E Ch. 2.7 - Prob. 69E Ch. 2.7 - Prob. 70E Ch. 2.7 - Prob. 71E Ch. 2.7 - Prob. 72E Ch. 2.7 - Prob. 73E Ch. 2.7 - Prob. 74E Ch. 2.7 - Prob. 75E Ch. 2.7 - Prob. 76E Ch. 2.7 - Prob. 77E Ch. 2.7 - Prob. 78E Ch. 2.7 - Prob. 79E Ch. 2.7 - Prob. 80E Ch. 2.7 - Prob. 81E Ch. 2.7 - Prob. 82E Ch. 2.7 - Prob. 83E Ch. 2.7 - Prob. 84E Ch. 2.7 - Prob. 85E Ch. 2.7 - Prob. 86E Ch. 2.7 - Prob. 87E Ch. 2.7 - Prob. 88E Ch. 2.7 - Prob. 89E Ch. 2.7 - Prob. 90E Ch. 2 - Prob. 1RE Ch. 2 - Prob. 2RE Ch. 2 - Prob. 3RE Ch. 2 - Prob. 4RE Ch. 2 - Prob. 5RE Ch. 2 - Prob. 6RE Ch. 2 - Prob. 7RE Ch. 2 - Prob. 8RE Ch. 2 - Prob. 9RE Ch. 2 - Prob. 10RE Ch. 2 - Prob. 11RE Ch. 2 - Prob. 12RE Ch. 2 - Prob. 13RE Ch. 2 - Prob. 14RE Ch. 2 - Prob. 15RE Ch. 2 - Prob. 16RE Ch. 2 - Prob. 17RE Ch. 2 - Prob. 18RE Ch. 2 - Prob. 19RE Ch. 2 - Prob. 20RE Ch. 2 - Prob. 21RE Ch. 2 - Prob. 22RE Ch. 2 - Prob. 23RE Ch. 2 - Prob. 24RE Ch. 2 - Prob. 25RE Ch. 2 - Prob. 26RE Ch. 2 - Prob. 27RE Ch. 2 - Prob. 28RE Ch. 2 - Prob. 29RE Ch. 2 - Prob. 30RE Ch. 2 - Prob. 31RE Ch. 2 - Prob. 32RE Ch. 2 - Prob. 33RE Ch. 2 - Prob. 34RE Ch. 2 - Prob. 35RE Ch. 2 - Prob. 36RE Ch. 2 - Prob. 37RE Ch. 2 - Prob. 38RE Ch. 2 - Prob. 39RE Ch. 2 - Prob. 40RE Ch. 2 - Prob. 41RE Ch. 2 - Prob. 42RE Ch. 2 - Prob. 43RE Ch. 2 - Prob. 44RE Ch. 2 - Prob. 45RE Ch. 2 - Prob. 46RE Ch. 2 - Prob. 47RE Ch. 2 - Prob. 48RE Ch. 2 - Prob. 49RE Ch. 2 - Prob. 50RE Ch. 2 - Prob. 51RE Ch. 2 - Prob. 52RE Ch. 2 - Prob. 53RE Ch. 2 - Prob. 54RE Ch. 2 - Prob. 55RE Ch. 2 - Prob. 56RE Ch. 2 - Prob. 57RE Ch. 2 - Prob. 58RE Ch. 2 - Prob. 59RE Ch. 2 - Prob. 60RE Ch. 2 - Prob. 61RE Ch. 2 - Prob. 62RE Ch. 2 - Prob. 63RE Ch. 2 - Prob. 64RE Ch. 2 - Prob. 65RE Ch. 2 - Prob. 66RE Ch. 2 - Prob. 67RE Ch. 2 - Prob. 68RE Ch. 2 - Prob. 1CT Ch. 2 - Prob. 2CT Ch. 2 - Prob. 3CT Ch. 2 - Prob. 4CT Ch. 2 - Prob. 5CT Ch. 2 - Prob. 6CT Ch. 2 - Prob. 7CT Ch. 2 - Prob. 8CT Ch. 2 - Prob. 9CT Ch. 2 - Prob. 10CT Ch. 2 - Prob. 11CT Ch. 2 - Prob. 12CT Ch. 2 - Prob. 13CT Ch. 2 - Prob. 14CT Ch. 2 - Prob. 15CT Ch. 2 - Prob. 16CT Ch. 2 - Prob. 17CT Ch. 2 - Prob. 18CT Ch. 2 - Prob. 1PS Ch. 2 - Prob. 2PS Ch. 2 - Prob. 3PS Ch. 2 - Prob. 4PS Ch. 2 - Prob. 5PS Ch. 2 - Prob. 6PS Ch. 2 - Prob. 7PS Ch. 2 - Prob. 8PS Ch. 2 - Prob. 9PS Ch. 2 - Prob. 10PS Ch. 2 - Prob. 11PS Ch. 2 - Prob. 12PS Ch. 2 - Prob. 13PS

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