Explanation Given: The graph is: Calculation: The graph is: The point of inflection occurs when f ″ ( x ) changes sign. Also, point of inflection occurs when f ′ ( x ) changes from increasing to decreasing or from decreasing to increasing. From the graph, x = 0.17 , x = 0.64 and x = 1 are the points of inflection. Thus, the point of inflection are x = 0.17 , x = 0.64 and x = 1 . At x = 0.4 , the sign of f ′ changes from + v e to − v e . Thus, f ( 0.4 ) is a local maximum and there is no local minima. Part a: The function is increasing when the graph of f ′ ( x ) will be positive. Hence, the function f ( x ) is increasing on ( 0 , 0...

4th Edition

ISBN: 9781319279813

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.4, Problem 31E

To determine

Locate the points of inflection of $f$ and the points where the local minima and local maxima occur.Also, find the intervals on which $f (x)$ is:

a. Increasing

b. Decreasing

c. Concave up

d. Concave down

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Chapter 4.4, Problem 30E

Chapter 4.4, Problem 32E

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Chapter 4 Solutions

CALCULUS:EARLY TRANS.-SAPLINGPLUS

Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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Knowledge Booster

Locate the points of inflection of f and the points where the local minima and local maxima occur.Also, find the intervals on which f ( x ) is: a. Increasing b. Decreasing c. Concave up d. Concave down

Locate the points of inflection of f and the points where the local minima and local maxima occur.Also, find the intervals on which f(x) is: a. Increasing b. Decreasing c. Concave up d. Concave down

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Chapter 4 Solutions

Locate the points of inflection of $f$ and the points where the local minima and local maxima occur.Also, find the intervals on which $f (x)$ is:

a. Increasing

b. Decreasing

c. Concave up

d. Concave down