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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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 =
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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