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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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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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