Show that the function f(x): = √/x² is uniformly continuous ON A:= [1,00), but that it is not uniformly continuous ON B: =(0,00).

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...
Question
Show that the function f(x): = √/x² is uniformly continuous ON
A:= [1,00), but that it is not uniformly continuous ON B: = (0,00).
Transcribed Image Text:Show that the function f(x): = √/x² is uniformly continuous ON A:= [1,00), but that it is not uniformly continuous ON B: = (0,00).
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