What does the notation: function[a,b] mean?

Question

What does the notation $f[a,b]$ mean?

For example: V the space of continuous functions $[0,1]→\mathbb{R}$

Seen here.

I would think the interval defines either the range or domain; however, due to difficulty of googling symbols, I have been unable to find an answer.

Answer 1

We usually write $f: D \to C$ where the $D$ denotes the domain and $C$ is the codomain.

here the domain of the function is $[0,1]$, the closed interval from $0$ to $1$.