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Sketch the graph of a function that satisfies all of the following conditions. Explair • f(0) = 0, and ƒ'(−2) = f'(1) = f'(9) = 0 ● lim f(x) = 0 and lim f(x) =10 x→6 8个8 • f'(x) < 0 on (-∞, -2), (1,6), and (9,∞) • f'(x) > 0 on (-2, 1) and (6,9) • f"(x) > 0 on (-∞, 0) and (12, ∞) • f"(x) < 0 on (0,6) and (6, 12)

Sketch the graph of a function that satisfies all of the following conditions. Explair • f(0) = 0, and ƒ'(−2) = f'(1) = f'(9) = 0 ● lim f(x) = 0 and lim f(x) =10 x→6 8个8 • f'(x) < 0 on (-∞, -2), (1,6), and (9,∞) • f'(x) > 0 on (-2, 1) and (6,9) • f"(x) > 0 on (-∞, 0) and (12, ∞) • 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 all of the following conditions. Explain! f(0) = 0, and f'(−2) = f'(1) = f'(9) = 0 ● lim f(x) = 0 and lim f(x) x →∞ x→6 f'(x) < 0 on (-∞, −2), (1,6), and (9, ∞) ƒ'(x) > 0 on (−2, 1) and (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 all of the following conditions. Explain! f(0) = 0, and f'(−2) = f'(1) = f'(9) = 0 ● lim f(x) = 0 and lim f(x) x →∞ x→6 f'(x) < 0 on (-∞, −2), (1,6), and (9, ∞) ƒ'(x) > 0 on (−2, 1) and (6, 9) • f"(x) > 0 on (-∞, 0) and (12, ∞) ● f"(x) < 0 on (0,6) and (6, 12) ● = ∞
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