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4. Use the given information to sketch the graph of the function f. (-2,1)u(1,x) all real except X - 1 Domain: Points: f(0) =-2 f(2)=2 Asymptotes: lim f(x)=0 lim f(x)=0 X-0 lim f(x)=-∞ lim f(x)=∞ x→1* x→1¯

4. Use the given information to sketch the graph of the function f. (-2,1)u(1,x) all real except X - 1 Domain: Points: f(0) =-2 f(2)=2 Asymptotes: lim f(x)=0 lim f(x)=0 X-0 lim f(x)=-∞ lim f(x)=∞ x→1* x→1¯

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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4. Use the given information to sketch the graph of the function f. all real except X = 1 (-0,1)U(1, ∞) Domain: Points: f(0)=-2 f(2)=2 y=0 Asymptotes: lim f(x)=0 lim f(x)=0 X→-00 X→ 00 lim f(x)=- lim_f(x)= =-00 = 00 x→1 x→1+ Increasing/decreasing: f'(x)<0 on (-∞,1) and (1, o) 1 Concavity: f"(x)>0 on (1,0) f"(x)<0 on (-∞, 1) -8- 9- -4 -2 min -4 -3 -2 -1 4 X 3. 2. 11
Transcribed Image Text:4. Use the given information to sketch the graph of the function f. all real except X = 1 (-0,1)U(1, ∞) Domain: Points: f(0)=-2 f(2)=2 y=0 Asymptotes: lim f(x)=0 lim f(x)=0 X→-00 X→ 00 lim f(x)=- lim_f(x)= =-00 = 00 x→1 x→1+ Increasing/decreasing: f'(x)<0 on (-∞,1) and (1, o) 1 Concavity: f"(x)>0 on (1,0) f"(x)<0 on (-∞, 1) -8- 9- -4 -2 min -4 -3 -2 -1 4 X 3. 2. 11
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