10. Consider a continuous function f with the properties that f is concave up on the interval [-1,3] and concave down on the interval [3, 5]. Which of the following statements is true? concave up

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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10. Consider a continuous function f with the properties that f is concave up on the interval [-1,3] and concave
down on the interval [3, 5]. Which of the following statements is true?
cancave up
(A) f"(2) >0 and f" (4) <0.
(D) Both (A) and (C)
(B) f" (2) < 0 and f"(4) > 0.
(E) Both (B) and (C)
(C)/f" (3) > 0 and x = 3 is a
point of inflection of f.
Transcribed Image Text:10. Consider a continuous function f with the properties that f is concave up on the interval [-1,3] and concave down on the interval [3, 5]. Which of the following statements is true? cancave up (A) f"(2) >0 and f" (4) <0. (D) Both (A) and (C) (B) f" (2) < 0 and f"(4) > 0. (E) Both (B) and (C) (C)/f" (3) > 0 and x = 3 is a point of inflection of f.
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