: The graph of the derivative of f is shown below. Assume that the domain of f is all real numbers and that it is a continuous function. You will receive +1% for each correct answer given below. + -4 -3 -5 -2 -1 1 2 4 5 . Over what interval(s) is the function f increasing? Write your answer in interval notation. . Over what interval(s) is the function f decreasing? Write your answer in interval notation. At what value(s) of x do local maxima occur (if any)? . At what value(s) of x do local minima occur (if any)? . Over what intervals is the function f concave up? Over what intervals is the function f concave down? At what value(s) of x do points of inflection occur?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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1. The graph of the derivative of f is shown below. Assume that the domain of f is all real
numbers and that it is a continuous function. You will receive +1% for each correct
answer given below.
-5
-4
-3
-2
-1
1
2
4
5
a. Over what interval(s) is the function f increasing? Write your answer in interval
notation.
b. Over what interval(s) is the function f decreasing? Write your answer in interval
notation.
c. At what value(s) of x do local maxima occur (if any)?
d. At what value(s) of x do local minima occur (if any)?
e. Over what intervals is the function f concave up?
f. Over what intervals is the function f concave down?
g. At what value(s) of x do points of inflection occur?
Transcribed Image Text:1. The graph of the derivative of f is shown below. Assume that the domain of f is all real numbers and that it is a continuous function. You will receive +1% for each correct answer given below. -5 -4 -3 -2 -1 1 2 4 5 a. Over what interval(s) is the function f increasing? Write your answer in interval notation. b. Over what interval(s) is the function f decreasing? Write your answer in interval notation. c. At what value(s) of x do local maxima occur (if any)? d. At what value(s) of x do local minima occur (if any)? e. Over what intervals is the function f concave up? f. Over what intervals is the function f concave down? g. At what value(s) of x do points of inflection occur?
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