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## Homework Statement

I'm trying to do a problem, and in order to do it I need to find a function f:

**R**→

**R**which is continuous on all of

**R**, where A[itex]\subseteq[/itex]

**R**is open but f(A) is not. Can anyone give an example of a function that satisfies these properties? I think once I have an example I'll understand things a lot better. Thanks.