0 < a <1æ = 11< a < 2 a = 22< x < 3æ = 33 < æ < 4 x = 44 < x < 5 f' (æ)| Positive |f" (x)| Unknown Negative DNE Positive Positive Unknown -5 Negative DNE Negative Positive Unknown The function f is continuous on the interval (0, 5) and is twice differentiable except at a = 2, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of æ in the interval (0, 5) is given in the table above. Which of the following statements could be false? (A The function f has a relative maximum at a = 1. B The function f has a relative minimum at æ = 2. The graph of f has a point of inflection at a = 3. (D The graph of f has a point of inflection at x = 4.

0 < a <1æ = 11< a < 2 a = 22< x < 3æ = 33 < æ < 4 x = 44 < x < 5 f' (æ)| Positive |f" (x)| Unknown Negative DNE Positive Positive Unknown -5 Negative DNE Negative Positive Unknown The function f is continuous on the interval (0, 5) and is twice differentiable except at a = 2, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of æ in the interval (0, 5) is given in the table above. Which of the following statements could be false? (A The function f has a relative maximum at a = 1. B The function f has a relative minimum at æ = 2. The graph of f has a point of inflection at a = 3. (D The graph of f has a point of inflection at x = 4.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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