Sketch the graph of a function that satisfies the following 3. conditions: (a) f'(0) f'(2) = f'(4) = 0 (b) f'(x)> 0 if x <0 or 2 < x < 4 (c) f'(x)<0 if 0< x <2 or x > 4 (d) f"(x)> 0 if 13

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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Sketch the graph of a function that satisfies the following
3.
conditions:
(a) f'(0) f'(2) = f'(4) = 0
(b) f'(x)> 0 if x <0 or 2 < x < 4
(c) f'(x)<0 if 0< x <2 or x > 4
(d) f"(x)> 0 if 1<x<3
(e) f"(x)<0 if x <1 or x>3
Transcribed Image Text:Sketch the graph of a function that satisfies the following 3. conditions: (a) f'(0) f'(2) = f'(4) = 0 (b) f'(x)> 0 if x <0 or 2 < x < 4 (c) f'(x)<0 if 0< x <2 or x > 4 (d) f"(x)> 0 if 1<x<3 (e) f"(x)<0 if x <1 or x>3
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