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47. Connecting f, f', and f" Sketch a continuous curve y = f(x) with the following properties. Label coordinates where possible. f'(x) > 0 for |x|> 2 f'(x) < 0 for |x| < 2 f(-2) = 8 f(0) = 4 f"(x) <0 for x<0 f"(x) >0 for x >0 f(2) = 0 f'(2) = f'(-2) = 0

47. Connecting f, f', and f" Sketch a continuous curve y = f(x) with the following properties. Label coordinates where possible. f'(x) > 0 for |x|> 2 f'(x) < 0 for |x| < 2 f(-2) = 8 f(0) = 4 f"(x) <0 for x<0 f"(x) >0 for x >0 f(2) = 0 f'(2) = f'(-2) = 0

Calculus: Early Transcendentals
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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47. Connecting f, f', and f" Sketch a continuous curve y = f(x) with the following properties. Label coordinates where possible. f'(x) > 0 for |x|> 2 f'(x) < 0 for |x| < 2 f(-2) = 8 f(0) = 4 f"(x) <0 for x<0 f"(x) >0 for x >0 f(2) = 0 f'(2) = f'(-2) = 0
Transcribed Image Text:47. Connecting f, f', and f" Sketch a continuous curve y = f(x) with the following properties. Label coordinates where possible. f'(x) > 0 for |x|> 2 f'(x) < 0 for |x| < 2 f(-2) = 8 f(0) = 4 f"(x) <0 for x<0 f"(x) >0 for x >0 f(2) = 0 f'(2) = f'(-2) = 0
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