A function is said to be Hoelder a continuous on [a, b] iff |f(x) – f(x')| < C|x – a'|ª for some G, α>0. Show that if a > 1 then f is constant in [a, b).

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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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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A function is said to be Hoelder a continuous on [a, b] iff
|f(x) – f(x')| < C|x – a'|ª
for some G, α>0.
Show that if a > 1 then f is constant in [a, b).
Transcribed Image Text:A function is said to be Hoelder a continuous on [a, b] iff |f(x) – f(x')| < C|x – a'|ª for some G, α>0. Show that if a > 1 then f is constant in [a, b).
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