What does a real-valued function on [0,1] mean ?

[╔(σ_σ)╝]

Homework Statement

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

The Attempt at a Solution

Does it mean $$0 \leq f(x) \leq 1$$ for all x

Or does it mean$$x \in[0,1]$$ 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.

 

[Dick]

It just means for x in [0,1] f(x) is a real number. It doesn't imply bounded or anything else.

 

[╔(σ_σ)╝]

Alright, thanks.