5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph. W a. For what values of x does f(x) have a relative minimum? Explain. -10 C. 10 V b. For what values of x does f(x) have a relative maximum? Explain. Determine the open intervals where the graph of f(x) is concave downwards. Show the analysis that leads to your conclusion.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph.
W
a. For what values of x does f(x) have a relative minimum? Explain.
-10
C.
10
V
b. For what values of x does f(x) have a relative maximum? Explain.
Determine the open intervals where the graph of f(x) is concave downwards. Show the analysis that leads to
your conclusion.
d. Sketch the graph of f(x) on the interval (-9, 9) if f(0)=0. Show the analysis that leads to your graph.
Transcribed Image Text:5. Consider the graph of f'(x), the derivative of y = f(x), defined on the domain -9 < x < 9, as given in the graph. W a. For what values of x does f(x) have a relative minimum? Explain. -10 C. 10 V b. For what values of x does f(x) have a relative maximum? Explain. Determine the open intervals where the graph of f(x) is concave downwards. Show the analysis that leads to your conclusion. d. Sketch the graph of f(x) on the interval (-9, 9) if f(0)=0. Show the analysis that leads to your graph.
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