Which of the given functions has a discontinuity? f(x) = x²-9 6 g(x) = -{ - 1/2 1 - 3 if x 3 if x=3 if x 1 if x = 1 a) both are discontinuous b) both are continuous c) only f is discontinuous d) only 9 is discontinuous e) not enough information is given

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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Which of the given functions has a discontinuity?
f(x)
=
x²-9
6
g(x)
=
-{
-
1/2
1
-
3
if x 3
if x=3
if x 1
if x = 1
a) both are discontinuous
b) both are continuous
c) only f is discontinuous
d) only 9 is discontinuous
e) not enough information is given
Transcribed Image Text:Which of the given functions has a discontinuity? f(x) = x²-9 6 g(x) = -{ - 1/2 1 - 3 if x 3 if x=3 if x 1 if x = 1 a) both are discontinuous b) both are continuous c) only f is discontinuous d) only 9 is discontinuous e) not enough information is given
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