\begin{definition}[Definition:Graph of Mapping]
Let $S$ and $T$ be sets.
Let $f: S \to T$ be a mapping.
The '''graph''' of $f$ is the relation  $\RR \subseteq S \times T$ defined as $\RR = \set {\tuple {x, \map f x}: x \in S}$
Alternatively, this can be expressed:
:$G_f = \set {\tuple {s, t} \in S \times T: \map f s = t}$
where $G_f$ is the '''graph of $f$'''.
The word is usually used in the context of a diagram:
:520px
\end{definition}