The graph of the derivative f' of a function f is shown. y = f'(x) V 2 4 YA 0 6 x (a) On what intervals is f increasing? (Enter your answer using interval notation.) (b) On what intervals is f decreasing? (Enter your answer using interval notation.) (c) At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) (d) On what interval(s) is f concave downward? (Enter your answer using interval notation.)

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
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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The graph of the derivative f' of a function f is shown.
y = f'(x)
V
2
4
YA
0
6
x
(a) On what intervals is f increasing? (Enter your answer using interval notation.)
(b) On what intervals is f decreasing? (Enter your answer using interval notation.)
(c) At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)
(d) On what interval(s) is f concave downward? (Enter your answer using interval notation.)
Transcribed Image Text:The graph of the derivative f' of a function f is shown. y = f'(x) V 2 4 YA 0 6 x (a) On what intervals is f increasing? (Enter your answer using interval notation.) (b) On what intervals is f decreasing? (Enter your answer using interval notation.) (c) At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) (d) On what interval(s) is f concave downward? (Enter your answer using interval notation.)
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