Sketch a continuous curve for which each of the following statements is true. f(-1)=0, f(0) = 2, f(1) = 4 f'(-1) = f'(1)=0 f'(x) < 0 for the interval (-∞,-1)(1,0) f'(x) > 0 for the interval (-1, 1) f"(x) > 0 for the interval (-∞, 0) f"(x) <0 for the interval (0, ∞)

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 a continuous curve for which each of the following statements is true.
f(-1)=0, f(0) = 2,ƒ(1)=4
f'(-1) = f'(1)=0
f'(x) < 0 for the interval (-∞, -1)(1,00⁰)
f'(x) > 0 for the interval (-1, 1)
f"(x) > 0 for the interval (-∞, 0)
f"(x) < 0 for the interval (0, ∞)
Transcribed Image Text:Sketch a continuous curve for which each of the following statements is true. f(-1)=0, f(0) = 2,ƒ(1)=4 f'(-1) = f'(1)=0 f'(x) < 0 for the interval (-∞, -1)(1,00⁰) f'(x) > 0 for the interval (-1, 1) f"(x) > 0 for the interval (-∞, 0) f"(x) < 0 for the interval (0, ∞)
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