The graph below is of f "(x) for some function f(x) with domain (-∞, ∞) (i.e., the graph of of the second derivative derivative off(x)).1.01,0-6 1. On what intervals is f(x) concave up? (Use interval notation.)Answer: (-4,–1)U(0,4)2. On what intervals is f(x) concave down? (Use interval notation.)Answer: (-infinity ,-4)U(-1,0)U(4, infinity)3. Find the x-values of all inflection points of f(x). Separate your answers by a comma. If there are none, enter NONE.Answer: -4,-1,0,44. On what intervals is f '(x) increasing? (Use interval notation.)Answer: (-4,–1)U(0,4)5. On what intervals is f '(x) decreasing? (Use interval notation.)Answer: (-infinity,-4)U(-1,0)U(4, infinity)6. Find the x-values of all local maxima of f '(x). Separate your answers by a comma. If there are none, enter NONE.Answer: 47. Find the x-values of all local minima of f '(x). Separate your answers by a comma. If there are none, enter NONE.Answer: -4

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Description: The graph below is of f "(x) for some function f(x) with domain (-∞, ∞) (i.e., the graph of of the second derivative derivative off(x)).1.01,0-6 1. On what intervals is f(x) concave up? (Use interval notation.)Answer: (-4,–1)U(0,4)2. On what interva

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The graph below is of f "(x) for some function f(x) with domain (-∞, ∞) (i.e., the graph of of the second derivative derivative of f(æ)). 1,0

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.4: Operations On Functions

Problem 124E

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Question

The graph below is of f "(x) for some function f(x) with domain (-∞, ∞) (i.e., the graph of of the second derivative derivative of
f(x)).
1.0
1,0
-6

1. On what intervals is f(x) concave up? (Use interval notation.)
Answer: (-4,–1)U(0,4)
2. On what intervals is f(x) concave down? (Use interval notation.)
Answer: (-infinity ,-4)U(-1,0)U(4, infinity)
3. Find the x-values of all inflection points of f(x). Separate your answers by a comma. If there are none, enter NONE.
Answer: -4,-1,0,4
4. On what intervals is f '(x) increasing? (Use interval notation.)
Answer: (-4,–1)U(0,4)
5. On what intervals is f '(x) decreasing? (Use interval notation.)
Answer: (-infinity,-4)U(-1,0)U(4, infinity)
6. Find the x-values of all local maxima of f '(x). Separate your answers by a comma. If there are none, enter NONE.
Answer: 4
7. Find the x-values of all local minima of f '(x). Separate your answers by a comma. If there are none, enter NONE.
Answer: -4

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