ƒ(0) = 0, and ƒ'(−2) = f'(1) = ƒ'(9) = 0 ● lim f(x) = 0 and lim f(x) x →∞ x→6 • f'(x) < 0 on (-∞, −2), (1,6), and (9, ∞) • f'(x) > 0 on (-2, 1) and (6,9) • ƒ"(x) > 0 on (-∞,0) and (12, ∞) • ƒ"(x) < 0 on (0,6) and (6, 12) = -∞
ƒ(0) = 0, and ƒ'(−2) = f'(1) = ƒ'(9) = 0 ● lim f(x) = 0 and lim f(x) x →∞ x→6 • f'(x) < 0 on (-∞, −2), (1,6), and (9, ∞) • f'(x) > 0 on (-2, 1) and (6,9) • ƒ"(x) > 0 on (-∞,0) and (12, ∞) • ƒ"(x) < 0 on (0,6) and (6, 12) = -∞
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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Question
Sketch the graph of a function that satisfies all of the following conditions. Explain!
![ƒ(0) = 0, and ƒ'(−2) = f'(1) = f'(9) = 0
● lim f(x) = 0 and lim f(x)
x →∞
x→6
• ƒ'(x) < 0 on (—∞, −2), (1,6), and (9, ∞)
• f'(x) > 0 on (−2, 1) and (6,9)
• ƒ"(x) > 0 on (-∞, 0) and (12, ∞)
• ƒ"(x) < 0 on (0,6) and (6, 12)
●
= -∞](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49dd86f5-e3e4-495a-9b19-f3d039df6a7c%2F4842fd9c-a4a2-4697-8da1-ab8fb3653d87%2F7nhezfh_processed.png&w=3840&q=75)
Transcribed Image Text:ƒ(0) = 0, and ƒ'(−2) = f'(1) = f'(9) = 0
● lim f(x) = 0 and lim f(x)
x →∞
x→6
• ƒ'(x) < 0 on (—∞, −2), (1,6), and (9, ∞)
• f'(x) > 0 on (−2, 1) and (6,9)
• ƒ"(x) > 0 on (-∞, 0) and (12, ∞)
• ƒ"(x) < 0 on (0,6) and (6, 12)
●
= -∞
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