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

For each [tex]a\in\mathbb{R}[/tex], find a function [tex]f[/tex] that is continuous at [tex]x=a[/tex] but discontinuous at all other points.

3. The attempt at a solution

I guess I am not getting the question. I need to come up with a function, I was thinking of a piecewise defined one, half rational half irrational, which is continuous on one but not the other? Is this possible?

Thank you in advance

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# Homework Help: Continuous function example

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