Give an example of a function f(x) that is continuous for all values of x except x=2, where it has a removable discontinuity Explain how you know that f is discontinuous at x = 2, and how you know the discontinuity is removable. Which of these functions is continuous at all values except for x = 2? OA. f(x) = OB. f(x)= x3 OD. f(x)= x²+2x-8 X-2 OC. f(x)=(x-2)³ x²-3x x+2 my instructor O T C F6 DELL F7 F8 a F9 F10 F11 Clear all 74°F Mostly sunny F12 Check answer ACE PrtScr p Insert 1:20 PM 8/30/2022 Delete
Give an example of a function f(x) that is continuous for all values of x except x=2, where it has a removable discontinuity Explain how you know that f is discontinuous at x = 2, and how you know the discontinuity is removable. Which of these functions is continuous at all values except for x = 2? OA. f(x) = OB. f(x)= x3 OD. f(x)= x²+2x-8 X-2 OC. f(x)=(x-2)³ x²-3x x+2 my instructor O T C F6 DELL F7 F8 a F9 F10 F11 Clear all 74°F Mostly sunny F12 Check answer ACE PrtScr p Insert 1:20 PM 8/30/2022 Delete
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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Continuity 15

Transcribed Image Text:Give an example of a function f(x) that is continuous for all values of x except x=2, where it has a removable discontinuity. Explain how you know that f is discontinuous at x = 2, and how you know the
discontinuity is removable.
Which of these functions is continuous at all values except for x = 2?
O A. f(x) =
OB. f(x)=
x3
OD. f(x) =
x²+2x-8
x-2
OC. f(x)=(x-2)³
x2-3x
x + 2
my instructor
O
77
HOON
C
¡C
F6
DELL
F7
F8
a
F9
F10
F11
Clear all
74°F Mostly sunny
F12
Check answe
P
^ D
PrtScr
(po
Insert
1:20 PM
8/30/2022
Delete
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