31. Let f be a function whose first derivative is f'(x) = In (x¹ - 2x² +1)+1 on the interval [-2, 2]. Which of the following represents all the intervals on which f is concave up? A. (-0.627, 0) and (1.267, 2] B. At the point x = 0 C. (1, 0) and (1, 2] D. [-2, -1.267), (-0.627, 0.627) and (1.267, 2] E. There are no points when it is concave up

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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31. Let f be a function whose first derivative is
f'(x) = In (x¹ - 2x² +1) +1
on the interval [-2, 2]. Which of the following represents all the
intervals on which f is concave up?
A. (-0.627, 0) and (1.267, 2]
B. At the point x = 0
C. (1, 0) and (1, 2]
D. [-2, -1.267), (-0.627, 0.627) and (1.267, 2]
E. There are no points when it is concave up
Transcribed Image Text:31. Let f be a function whose first derivative is f'(x) = In (x¹ - 2x² +1) +1 on the interval [-2, 2]. Which of the following represents all the intervals on which f is concave up? A. (-0.627, 0) and (1.267, 2] B. At the point x = 0 C. (1, 0) and (1, 2] D. [-2, -1.267), (-0.627, 0.627) and (1.267, 2] E. There are no points when it is concave up
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