The graph of the derivative f' of a function fis shown. y y = f(x) (a) On what intervals is f increasing? (Enter your answer using interval notation.) ,5 On what intervals is f decreasing? (Enter your answer using interval notation.) [0) (b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.) x = 00 At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.) 5 2 (c) If it is known that f(0) = 0, sketch a possible graph of f. 3. 2.

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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(c) If it is known that f(0) = 0, sketch a possible graph of f.
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Transcribed Image Text:(c) If it is known that f(0) = 0, sketch a possible graph of f. y y 5 2 3 y 1 2 4 1 2 3 4 2.
The graph of the derivative f' of a function f is shown.
y
y = f(x)
1
(a) On what intervals is f increasing? (Enter your answer using interval notation.)
,5
On what intervals is f decreasing? (Enter your answer using interval notation.)
[0)
5
(b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.)
X =
At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.)
5
X =
(c) If it is known that f(0) = 0, sketch a possible graph of f.
Transcribed Image Text:The graph of the derivative f' of a function f is shown. y y = f(x) 1 (a) On what intervals is f increasing? (Enter your answer using interval notation.) ,5 On what intervals is f decreasing? (Enter your answer using interval notation.) [0) 5 (b) At what values of x does f have a local maximum? (Enter your answers as a comma-separated list.) X = At what values of x does f have a local minimum? (Enter your answers as a comma-separated list.) 5 X = (c) If it is known that f(0) = 0, sketch a possible graph of f.
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