Explanation Given: The function is y = x 2 − 4 x + 3 . Formula used: Test for concavity: Let f ″ ( x ) exist for all x ∈ ( a , b ) , then • y = f ″ ( x ) > 0 for all x ∈ ( a , b ) , here the function f is concave upward on ( a , b ) . • y = f ″ ( x ) < 0 for all x ∈ ( a , b ) , here the function f is concave downward on ( a , b ) . y = f ( x ) has a point of inflection if f ″ ( x ) = 0

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.4, Problem 5E

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Write the intervals on which the function is concave up or down. Also, find the points of inflection.

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Chapter 4.4, Problem 4E

Chapter 4.4, Problem 6E

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Chapter 4 Solutions

CALCULUS (CLOTH)

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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Write the intervals on which the function is concave up or down. Also, find the points of inflection.

Solution Summary: The author explains that the function is concave up everywhere and there is no point of inflection.

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Write the intervals on which the function is concave up or down. Also, find the points of inflection.

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Chapter 4 Solutions