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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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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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