5. Use the given information to sketch the graph of the function f. (-0,–2)U(-2,2)U(2,0) all real ex cept x=-2,2 Domain: f(0) =0 Points : lim f(x)=0 lim f(x)=0 y- 0 Asymptotes: %3D X→-の lim f(x)=-∞ x-2 lim f(x)=∞ x-2* lim f(x)=- lim f(x)=0 =-00 x2 Increasing/decreasing: f'(x)<0 on (-∞, -2) and (-2,2) and (2, 00) Concavity: f"(x)>0 on (-2,0) and (2, 0) 十* + f4イ f"(x)<0 « on (-0,-2) and (0,2) ^ -20 +4 -3 +2 -1 -4 -3 -2 -1 4
5. Use the given information to sketch the graph of the function f. (-0,–2)U(-2,2)U(2,0) all real ex cept x=-2,2 Domain: f(0) =0 Points : lim f(x)=0 lim f(x)=0 y- 0 Asymptotes: %3D X→-の lim f(x)=-∞ x-2 lim f(x)=∞ x-2* lim f(x)=- lim f(x)=0 =-00 x2 Increasing/decreasing: f'(x)<0 on (-∞, -2) and (-2,2) and (2, 00) Concavity: f"(x)>0 on (-2,0) and (2, 0) 十* + f4イ f"(x)<0 « on (-0,-2) and (0,2) ^ -20 +4 -3 +2 -1 -4 -3 -2 -1 4
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...
Related questions
Question
![5. Use the given information to sketch the graph of the function f.
(-0,–2)U(-2,2)U(2, 0) all real ey cept
x=-2,2
Domain:
Points :
S(0)=0
lim f(x)=0
lim f(x)=0 y - 0
Asymptotes:
X→-0
lim f(x)=-«
lim f(x)=∞
x→-2+
-00
x→-2
lim f(x)=-o
lim f(x)=∞
x→2+
=00
x→2
Increasing/decreasing: f'(x)<0 on (-0, –2) and (-2,2) and (2, 0)
t
tt f
Concavity:
f"(x)>0 on (-2,0) and (2, 0)
f"(x)<0 on (-∞,-2) and (0,2)
-4
-3
+2
-1
-4
-3
-2
-1
2
-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F096386ee-a7d8-4324-afae-9f4cb3fd0785%2F37476df6-7e16-41c0-91ad-16079ff64baf%2F2amijoo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Use the given information to sketch the graph of the function f.
(-0,–2)U(-2,2)U(2, 0) all real ey cept
x=-2,2
Domain:
Points :
S(0)=0
lim f(x)=0
lim f(x)=0 y - 0
Asymptotes:
X→-0
lim f(x)=-«
lim f(x)=∞
x→-2+
-00
x→-2
lim f(x)=-o
lim f(x)=∞
x→2+
=00
x→2
Increasing/decreasing: f'(x)<0 on (-0, –2) and (-2,2) and (2, 0)
t
tt f
Concavity:
f"(x)>0 on (-2,0) and (2, 0)
f"(x)<0 on (-∞,-2) and (0,2)
-4
-3
+2
-1
-4
-3
-2
-1
2
-1
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