The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.) y 4 y= f'(x) 2 2 6 -2 (a) On what interval(s) is f increasing? (Enter your answer in interval notation.) On what interval(s) is f decreasing? (Enter your answer in interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) X = At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) X = (c) On what interval(s) is f concave upward? (Enter your answer in interval notation.) On what interval(s) is f concave downward? (Enter your answer in interval notation.) (d) State the x-coordinate(s) of the point(s) of inflection. (Enter your answers as a comma-separated list.) X =
The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.) y 4 y= f'(x) 2 2 6 -2 (a) On what interval(s) is f increasing? (Enter your answer in interval notation.) On what interval(s) is f decreasing? (Enter your answer in interval notation.) (b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.) X = At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.) X = (c) On what interval(s) is f concave upward? (Enter your answer in interval notation.) On what interval(s) is f concave downward? (Enter your answer in interval notation.) (d) State the x-coordinate(s) of the point(s) of inflection. (Enter your answers as a comma-separated list.) X =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![(e) Assuming that f(0) = 0, sketch a graph of f.
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y
y
y
7
- X
2
8
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-1
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8.
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Transcribed Image Text:(e) Assuming that f(0) = 0, sketch a graph of f.
%3D
y
y
y
7
- X
2
8
6
-1
5
4
-2
4
-3
3
2
2
-4
1
1
-5
X
4
6.
8.
4
8
y
X
2
4
8
-1
-2
-3-
-4
-5
-6
2.
3.
![The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.)
y
4-
y= f'(x)
2
6.
-2
(a) On what interval(s) is f increasing? (Enter your answer in interval notation.)
On what interval(s) is f decreasing? (Enter your answer in interval notation.)
(b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.)
X =
At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)
X =
(c) On what interval(s) is f concave upward? (Enter your answer in interval notation.)
On what interval(s) is f concave downward? (Enter your answer in interval notation.)
(d) State the x-coordinate(s) of the point(s) of inflection. (Enter your answers as a comma-separated list.)
X =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5974d182-69dd-492b-b0a6-6672f4ac054c%2F078b5764-12d5-4203-9341-d1be43ba4adb%2F2mdfwra_processed.png&w=3840&q=75)
Transcribed Image Text:The graph of the derivative f' of a continuous function f is shown. (Assume f' continues to o.)
y
4-
y= f'(x)
2
6.
-2
(a) On what interval(s) is f increasing? (Enter your answer in interval notation.)
On what interval(s) is f decreasing? (Enter your answer in interval notation.)
(b) At what value(s) of x does f have a local maximum? (Enter your answers as a comma-separated list.)
X =
At what value(s) of x does f have a local minimum? (Enter your answers as a comma-separated list.)
X =
(c) On what interval(s) is f concave upward? (Enter your answer in interval notation.)
On what interval(s) is f concave downward? (Enter your answer in interval notation.)
(d) State the x-coordinate(s) of the point(s) of inflection. (Enter your answers as a comma-separated list.)
X =
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