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If f is a function satisfying |f (x) – f(y)| < (x – y)? - for all x and y, prove that f is constant.

If f is a function satisfying |f (x) – f(y)| < (x – y)? - for all x and y, prove that f is constant.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.7: Inverse Functions
Problem 6SE: Show that the function fx)=ax is its own inverse for all real numbers a.
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If f is a function satisfying |f (x) – f(y)| < (x – y)? - for all x and y, prove that f is constant.
Transcribed Image Text:If f is a function satisfying |f (x) – f(y)| < (x – y)? - for all x and y, prove that f is constant.
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