Consider the function f with domain (-2, ): 3|x2 – 1| 2x2 + 2x – 4 if – 2< x < 1 f (x) = 3 if x = 1 xl/(1-z) if 1< x Is f continuous at x = 1? If not, what type of discontinuity does f have at x = 1?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Consider the function f with domain (-2, 00):
3|x2 – 1|
if – 2 < x < 1
2x2 + 2x – 4
f (x) =
3
if x = 1
x1/(1-z)
if 1< x
Is f continuous at x = 1? If not, what type of discontinuity does f have at x = 1?
Transcribed Image Text:Consider the function f with domain (-2, 00): 3|x2 – 1| if – 2 < x < 1 2x2 + 2x – 4 f (x) = 3 if x = 1 x1/(1-z) if 1< x Is f continuous at x = 1? If not, what type of discontinuity does f have at x = 1?
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