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2. State whether each statement is true always, sometimes, or never for a polynomial function f (x). a) At a local maximum point, f'(x) = 0. %3D b) At a local minimum point, f"(x) < 0. c) If f'(a) = 0, then point (a, f(a)) is an extreme point. d) If f'(a) = 0 and f"(a) > 0, then point (a, f(a)) is a local maximum. %3D

2. State whether each statement is true always, sometimes, or never for a polynomial function f (x). a) At a local maximum point, f'(x) = 0. %3D b) At a local minimum point, f"(x) < 0. c) If f'(a) = 0, then point (a, f(a)) is an extreme point. d) If f'(a) = 0 and f"(a) > 0, then point (a, f(a)) is a local maximum. %3D

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Pls help ASAP. Pls show all work. Pls do all of the asked questions. 

2. State whether each statement is true always, sometimes, or never for a polynomial function f (x). a) At a local maximum point, f'(x) = 0. b) At a local minimum point, f"(x) < 0. c) If f'(a) = 0, then point (a, f(a)) is an extreme point. %3| d) If f'(a) = 0 and f"(a) > 0, then point (a, f (a)) is a local maximum.
Transcribed Image Text:2. State whether each statement is true always, sometimes, or never for a polynomial function f (x). a) At a local maximum point, f'(x) = 0. b) At a local minimum point, f"(x) < 0. c) If f'(a) = 0, then point (a, f(a)) is an extreme point. %3| d) If f'(a) = 0 and f"(a) > 0, then point (a, f (a)) is a local maximum.
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