The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 < x < 9.) y y= f'(x) 2 4 (a) On what interval(s) is f increasing? (Enter your answer using 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 using interval notation.) On what interval(s) is f concave downward? (Enter your answer using interval notation.)

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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The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 < x < 9.)
y
y= f'(x)
2
4
9.
8
(a) On what interval(s) is f increasing? (Enter your answer using 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 using interval notation.)
On what interval (s) is f concave downward? (Enter your answer using interval notation.)
Transcribed Image Text:The graph of the first derivative f' of a function f is shown. (Assume the function is defined only for 0 < x < 9.) y y= f'(x) 2 4 9. 8 (a) On what interval(s) is f increasing? (Enter your answer using 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 using interval notation.) On what interval (s) is f concave downward? (Enter your answer using interval notation.)
(d) What are the x-coordinate(s) of the inflection point of f? (Enter your answers as a comma-separated list.)
X =
Transcribed Image Text:(d) What are the x-coordinate(s) of the inflection point of f? (Enter your answers as a comma-separated list.) X =
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