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- Thread starter Dazedandconfu
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If not, then we can get some crazy functions like

f(x) = 1/2 if x <= 1/2

f(x) = 1 if x > 1/2

This will also satisfy the question.

(maybe this might be true for cantor function?)

I think this question is quite deep if we don't have any restrictions on f,

because we can have this too:

f(x) = floor(x+1/2), and it satisfies the problem too. (nvm for this, it only works for [0,1) )

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