2. The graph of f'(x), the derivative of f(x) appears below. Use the graph to answer the following questions. (a) On what intervals is f(x) increasing? Decreasing? (b) Where does f(x) have a local minimum? A local maximum? (c) On what intervals is f(x) concave up? Concave down?

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 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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2E Explanation with work please

2. The graph of f'(x), the derivative of f(x) appears below. Use the graph to answer the following questions.
(a) On what intervals is f(x) increasing? Decreasing?
(b) Where does f(x) have a local minimum? A local maximum?
(c) On what intervals is f(x) concave up? Concave down?
(d) Where does f(x) have a point of inflection?
(e) If f(-1)=7, sketch the graph of f(x).
y=f(x)
1
2
5
Note: This is the graph of the derivative of f, not the graph of f.
Transcribed Image Text:2. The graph of f'(x), the derivative of f(x) appears below. Use the graph to answer the following questions. (a) On what intervals is f(x) increasing? Decreasing? (b) Where does f(x) have a local minimum? A local maximum? (c) On what intervals is f(x) concave up? Concave down? (d) Where does f(x) have a point of inflection? (e) If f(-1)=7, sketch the graph of f(x). y=f(x) 1 2 5 Note: This is the graph of the derivative of f, not the graph of f.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,