(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that f(x) = 3*x + 11 is uniformly continuous.

2. Relevant equations

x,y in S and |x-y| < a imply |f(x)-f(y)| < e

3. The attempt at a solution

following the book I get to

f(x) - f(y) = 3(x-y)

i just dont know how to chose e in this case..

would it be |f(x) - f(y)| < e/3

any pointers are greatly appreciated

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# Homework Help: Real Analysis: Coninuity2

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