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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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Number 6
6.
Sketch a graph of a function that satisfies the following conditions:
f(0) = f(4)=0
f'(x) < 0 if x < 0
f'(x) > 0 if 0<x<2
f'(x) < 0 if x > 2
f"(x) > 0 ifx <1
f"(x) <0 ifx>1
Transcribed Image Text:6. Sketch a graph of a function that satisfies the following conditions: f(0) = f(4)=0 f'(x) < 0 if x < 0 f'(x) > 0 if 0<x<2 f'(x) < 0 if x > 2 f"(x) > 0 ifx <1 f"(x) <0 ifx>1
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