# Is there more than one meaning of the notation f(x)=[x] ?

## Main Question or Discussion Point

Is there more than one meaning of the notation "f(x)=[x]"?

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?

pwsnafu

Usually, that's the "integer part" function. Eg f(3.12) = 3

HallsofIvy
$$\lfloor x\rfloor$$