Sketch a possible graph of a function that satisfies all of the following conditions: f'(2) = 0, f'(0) =1, f'(x) > 0 if 0 < x < 2, f'(x) < 0 if æ > 2, f"(x) < 0 if 0 < x < 4, f"(x) > 0 if æ > 4, lim,+00 f(x) = 0, and f(-x) = – f(x) for all x.
Sketch a possible graph of a function that satisfies all of the following conditions: f'(2) = 0, f'(0) =1, f'(x) > 0 if 0 < x < 2, f'(x) < 0 if æ > 2, f"(x) < 0 if 0 < x < 4, f"(x) > 0 if æ > 4, lim,+00 f(x) = 0, and f(-x) = – f(x) for all 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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
Transcribed Image Text:Sketch a possible graph of a function that satisfies all of the following conditions:
f'(2) = 0, f'(0) =1, f'(x) > 0 if 0 < x < 2, f'(x) < 0 if æ > 2,
f"(x) < 0 if 0 <x < 4, f"(x) > 0 if x > 4,
lim, 00 f(x) = 0, and f(-x) = -f(x) for all x.
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