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

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
Expert Solution

Step 1
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning