- We define the function f: R -> R as follows. Let f(x) = x-2 for X<2, f(x) = 2-x for x>2, and f(x) = a for x=2. What should a be so that f is continuous everywhere?

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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- We define the function f: R -> R as follows. Let f(x) = x-2 for
x<2, f(x) = 2-x for x>2, and f(x) = a for x=2. What should a be
so that f is continuous everywhere?
%D
Transcribed Image Text:- We define the function f: R -> R as follows. Let f(x) = x-2 for x<2, f(x) = 2-x for x>2, and f(x) = a for x=2. What should a be so that f is continuous everywhere? %D
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