3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of the derivative of f, determine the following. If any cannot be determined based on the graph alone, explain why.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of the derivative of f,
determine the following. If any cannot be determined based on the graph alone, explain why.
y =f'(x)
BE CAREFUL WHEN USING [ ] OR ( ) IN INTERVAL NOTATION.
a. The number of critical points of f
b. The intervals on which f is increasing
5
c. The intervals on which f is concave up
d. The x values where f has a local minimum
5
e. f(3)
f. The number of critical points of f'
Transcribed Image Text:3. Below is the graph of y = f'(x), which is the derivative for some function f. Using the graph of the derivative of f, determine the following. If any cannot be determined based on the graph alone, explain why. y =f'(x) BE CAREFUL WHEN USING [ ] OR ( ) IN INTERVAL NOTATION. a. The number of critical points of f b. The intervals on which f is increasing 5 c. The intervals on which f is concave up d. The x values where f has a local minimum 5 e. f(3) f. The number of critical points of f'
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