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

1. Sep 26, 2010

### ╔(σ_σ)╝

1. The problem statement, all variables and given/known data
As the tittles says "What does a real-valued function on [0,1] mean ?"

3. 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.

2. Sep 26, 2010

### Dick

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

3. Sep 26, 2010

### ╔(σ_σ)╝

Alright, thanks.