Mapping

A mathematical relation or rule that pairs each element of a given set (the domain) with one or more elements of another set (the codomain). When every element of the domain maps to exactly one unique element in the codomain, the mapping forms a function.

Example

A mapping $x \mapsto 2x + 1$ takes an input value $x = 3$ from the domain and maps it to the output value $2(3) + 1 = 7$ in the codomain.

See Also

• Function
• Domain