a. Answer The points of intersection are and Explanation Given Information: The given functions are and where Calculation: It has been given that and the graph corresponding to the functions is given below: From the above figure, it appears that the graphs intersect at two points. Using the intersect feature or zoom and trace feature, it is determined that the graphs intersect twice at approximately and b. To determine To find out the value of for which the two graphs have one point of intersection. Answer Explanation If Intersect exactly once, then The graphs of and intersect once for Then Now, For the curves intersect once at c. To determine To find out value of for which the two graphs have two points of intersection. Answer Explanation For the curves intersect twice. For, the curves do not intersect.

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 3.4, Problem 98E

To determine

To approximate the intersection points of two graphs.

Expert Solution

Answer to Problem 98E

The points of intersection are EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 1 and

Explanation of Solution

Given Information:

The given functions are EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 3 and where

Calculation:

It has been given that EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 6 and the graph corresponding to the functions is given below:

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 7

From the above figure, it appears that the graphs intersect at two points. Using the intersect feature or zoom and trace feature, it is determined that the graphs intersect twice at approximately EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 8 and

To determine

To find out the value of for which the two graphs have one point of intersection.

Expert Solution

Answer to Problem 98E

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 11

Explanation of Solution

If EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 12

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 13

Intersect exactly once, then

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 14

The graphs of EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 15 and intersect once for

Then

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 18

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 19

Now,

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 20

For EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 21 the curves intersect once at

To determine

To find out value of for which the two graphs have two points of intersection.

Expert Solution

Answer to Problem 98E

EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 24

Explanation of Solution

For EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 25 the curves intersect twice.

For, EBK PRECALCULUS W/LIMITS, Chapter 3.4, Problem 98E , additional homework tip 26 the curves do not intersect.

Chapter 3.4, Problem 97E

Chapter 3.5, Problem 1E

Chapter 3 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - 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