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O Sketch the graph of a function that satisfies the given conditions. f(0) = 0, f'(-2) = f'(1) = f'(9) = 0 lim f(x) = 0,lim f (x) = = -00 f'(x) < 0 on (-0, -2), (1,6), and (9, ∞) f'(x) > 0 оn (—2,1) аnd (6,9) f"(x) > 0 on (-0,0), and (12, 0) f"(x)< 0 on (0,6) and (6,12)

O Sketch the graph of a function that satisfies the given conditions. f(0) = 0, f'(-2) = f'(1) = f'(9) = 0 lim f(x) = 0,lim f (x) = = -00 f'(x) < 0 on (-0, -2), (1,6), and (9, ∞) f'(x) > 0 оn (—2,1) аnd (6,9) f"(x) > 0 on (-0,0), and (12, 0) f"(x)< 0 on (0,6) and (6,12)

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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) Sketch the graph of a function that satisfies the given conditions. f (0) = 0, f'(-2) = f'(1) = f'(9) = 0 lim f(x) = 0,lim f (x) = -∞ f' (x) < 0 оn (- 0о, — 2), (1,6), аnd (9, oo) f (x) > 0 оn (-2,1) аnd (6,9) f"(x) > 0 on (-∞, 0), and (12, ∞) f"(x)< 0 on (0,6) and (6,12)
Transcribed Image Text:) Sketch the graph of a function that satisfies the given conditions. f (0) = 0, f'(-2) = f'(1) = f'(9) = 0 lim f(x) = 0,lim f (x) = -∞ f' (x) < 0 оn (- 0о, — 2), (1,6), аnd (9, oo) f (x) > 0 оn (-2,1) аnd (6,9) f"(x) > 0 on (-∞, 0), and (12, ∞) f"(x)< 0 on (0,6) and (6,12)
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