Features of a function

Let us summarize and consolidate the concept related to functions using an 'egg' diagram:

Egg diagram representing a function mapping from domain A to codomain B

\(\mathrm{f}\): the name of the function

\(\mathrm{f}(x)\): the image of \(x\) under \(\mathrm{f}\)

\(A\): the domain of \(\mathrm{f}\), also denoted by \(D_f\)

\(B\): the codomain of \(\mathrm{f}\), we do not have a notation for this one.