In my real analysis text book there is a question that says:
Decide whether $f(x)=[x]$ is bounded above or below on the interval $[0,a]$ where $a$ is arbitrary, and whether the function takes on it's maximum or minimum value within that same interval.
This question is very straightforward, assuming $[x]=x$. But if that is the case, then the choice of notation is very strange.
Is there another way to interpret the notation's meaning?