Tell whether the following functions Is continuous or discontinuous. If discontinuous, identify the type of discontinuity. Choose the letter of your answer based on the following choices: A. ContinuouS B. Removable Discontinuity C. Jump Discontinuity D. Asymptotic Discontinuity E. Alternating Point Discontinuity 11. f(x) = x³ - 3x2 + 3x 1

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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II. Tell whether the following functions is continuous
or discontinuOus. If discontinuous, identify the
type of discontinulty. Choose the letter of your
answer based on the following cholces:
A. ContinuouS
B. Removable Discontinuity
C. Jump Discontinuity
D. Asymptotic Discontinuity
E. Alternating Point Discontinuity
11. f(x) = x3 - 1
3x2 +3x
エー2
12. f(x) =
x2+x+1
Transcribed Image Text:II. Tell whether the following functions is continuous or discontinuOus. If discontinuous, identify the type of discontinulty. Choose the letter of your answer based on the following cholces: A. ContinuouS B. Removable Discontinuity C. Jump Discontinuity D. Asymptotic Discontinuity E. Alternating Point Discontinuity 11. f(x) = x3 - 1 3x2 +3x エー2 12. f(x) = x2+x+1
if x 1
if x>-1
2x + 1
13. f(x) = }
4x2- 1
x2-2
14. f(x) =
x+vz
15. f(x) - for every x E (-4,3]
I+4
16. f(x) = sin () in the interval x 2 -2
if x<1
if x> 1
17. f(x) =
x+2
2 x2
if x<-3
2x + 1
18. f(x) = {log (x + 1)
19. f(x) = tan () in the interval [0,1)
Transcribed Image Text:if x 1 if x>-1 2x + 1 13. f(x) = } 4x2- 1 x2-2 14. f(x) = x+vz 15. f(x) - for every x E (-4,3] I+4 16. f(x) = sin () in the interval x 2 -2 if x<1 if x> 1 17. f(x) = x+2 2 x2 if x<-3 2x + 1 18. f(x) = {log (x + 1) 19. f(x) = tan () in the interval [0,1)
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