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AP Calculus AB CFU 4.6: Derivative Graph Analysis 1. Consider the graph below of the derivative of f (x) a) Identify the intervals where f (x) is increasing. Justify your answer. 6 9 -5 -3 -2 -1 1 b) Identify the interval where f (x) is concave down. Justify Graph of f'(x) your answer. c) Identify the x-coordinate(s) where f (x) has a relative minimum on the interval [-5,9]. Justify your answer. d) Identify the x-coordinates of the points of inflection of f (x) on the interval [-5,9]. Justify your ans- e) On what intervals is f (x) both decreasing and concave up? Justify your answer.

AP Calculus AB CFU 4.6: Derivative Graph Analysis 1. Consider the graph below of the derivative of f (x) a) Identify the intervals where f (x) is increasing. Justify your answer. 6 9 -5 -3 -2 -1 1 b) Identify the interval where f (x) is concave down. Justify Graph of f'(x) your answer. c) Identify the x-coordinate(s) where f (x) has a relative minimum on the interval [-5,9]. Justify your answer. d) Identify the x-coordinates of the points of inflection of f (x) on the interval [-5,9]. Justify your ans- e) On what intervals is f (x) both decreasing and concave up? Justify your answer.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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
Chapter5: A Survey Of Other Common Functions
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AP Calculus AB CFU 4.6: Derivative Graph Analysis 1. Consider the graph below of the derivative of f (x) a) Identify the intervals where f (x) is increasing. Justify your answer. -5 9 -3 -2 -1 1 b) Identify the interval where f (x) is concave down. Justify your answer. Graph of f'(x) c) Identify the x-coordinate(s) where f (x) has a relative minimum on the interval [-5,9]. Justify your answer. d) Identify the x-coordinates of the points of inflection of f (x) on the interval [-5,9]. Justify your ans- e) On what intervals is f (x) both decreasing and concave up? Justify your answer.
Transcribed Image Text:AP Calculus AB CFU 4.6: Derivative Graph Analysis 1. Consider the graph below of the derivative of f (x) a) Identify the intervals where f (x) is increasing. Justify your answer. -5 9 -3 -2 -1 1 b) Identify the interval where f (x) is concave down. Justify your answer. Graph of f'(x) c) Identify the x-coordinate(s) where f (x) has a relative minimum on the interval [-5,9]. Justify your answer. d) Identify the x-coordinates of the points of inflection of f (x) on the interval [-5,9]. Justify your ans- e) On what intervals is f (x) both decreasing and concave up? Justify your answer.
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