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Possible Duplicate:
Function with range equal to whole reals on every open setFunction with range equal to whole reals on every open set

I was told that it is possible to define a function $f:\mathbb R\to \mathbb R$ such that it takes every value on every interval. I have not been able to come up with such a function. Could someone show me one?

Possible Duplicate:
Function with range equal to whole reals on every open set

I was told that it is possible to define a function $f:\mathbb R\to \mathbb R$ such that it takes every value on every interval. I have not been able to come up with such a function. Could someone show me one?

Possible Duplicate:
Function with range equal to whole reals on every open set

I was told that it is possible to define a function $f:\mathbb R\to \mathbb R$ such that it takes every value on every interval. I have not been able to come up with such a function. Could someone show me one?

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Community Bot
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Possible Duplicate:
Function with range equal to whole reals on every open set

I was told that it is possible to define a function $f:\mathbb R\to \mathbb R$ such that it takes every value on every interval. I have not been able to come up with such a function. Could someone show me one?

I was told that it is possible to define a function $f:\mathbb R\to \mathbb R$ such that it takes every value on every interval. I have not been able to come up with such a function. Could someone show me one?

Possible Duplicate:
Function with range equal to whole reals on every open set

I was told that it is possible to define a function $f:\mathbb R\to \mathbb R$ such that it takes every value on every interval. I have not been able to come up with such a function. Could someone show me one?

Post Closed as "exact duplicate" by Willie Wong, Ryan Budney, user6976, François G. Dorais
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Sebestyen
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Everywhere totally discontinuous function

I was told that it is possible to define a function $f:\mathbb R\to \mathbb R$ such that it takes every value on every interval. I have not been able to come up with such a function. Could someone show me one?