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## Homework Statement

As the tittles says "What does a real-valued function on [0,1] mean ?"

## The Attempt at a Solution

Does it mean [tex] 0 \leq f(x) \leq 1[/tex] for all x

Or does it mean[tex] x \in[0,1][/tex] and f(x) need not be bounded ?

Or does it mean something else ?

I am trying to write a proof which talks about a real valued function on [0,1] and I need to understand to eventually write the proof.