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 [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.