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# A quirky graph!

What would the graph of the following function look like?

 $$f(x) = 1$$ when $$x$$ is rational, and  $$f(x) = 2$$ when $$x$$ is irrational.

4 years ago

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There are an uncountable number of irrational numbers but only a countable number of rationals so there would be many many more 2s than 1s.

- 3 years, 2 months ago