Below is the graph of the DERIVATIVE of f --- that is, the curve y = f'(x) is pictured below. + -3 -2 y 18 -2 -3. دن y = f'(x) 1 2 3 + LA A) Find the x-coordinates of all critical points of f. -2, 2 X B) Find the x-coordinates where f has a local minimum. -2 C) Find the x-coordinates where f has a local maximum. f(x) does not have local maxir

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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Below is the graph of the DERIVATIVE of f --- that is, the curve
y = f'(x) is pictured below.
-4 -3 -2 -1
y
4
-2
-2
0
-1-
-2
1
y = f'(x)
2 3 4 5
A) Find the x-coordinates of all critical points of f.
-2, 2
X
B) Find the x-coordinates where f has a local minimum.
C) Find the x-coordinates where f has a local maximum.
f(x) does not have local maxir
D) Determine the concavity of f on the interval (-2, 0).
[Select]
E) Determine the concavity of f on the interval (2, ∞).
[Select]
F) Find the x-coordinates of all inflection points of f.
[Select]
G) Determine whether f is increasing or decreasing on the interval (-2,
2). [Select]
Transcribed Image Text:Below is the graph of the DERIVATIVE of f --- that is, the curve y = f'(x) is pictured below. -4 -3 -2 -1 y 4 -2 -2 0 -1- -2 1 y = f'(x) 2 3 4 5 A) Find the x-coordinates of all critical points of f. -2, 2 X B) Find the x-coordinates where f has a local minimum. C) Find the x-coordinates where f has a local maximum. f(x) does not have local maxir D) Determine the concavity of f on the interval (-2, 0). [Select] E) Determine the concavity of f on the interval (2, ∞). [Select] F) Find the x-coordinates of all inflection points of f. [Select] G) Determine whether f is increasing or decreasing on the interval (-2, 2). [Select]
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