# How do you find the domain and the range of the relation, and state whether or not the relation is a function {(5, –4), (3, –4), (–5, 3), (–4, 5)}?

Nov 7, 2015

Domain: $\left\{5 , 3 , - 5 , - 4\right\}$
Range: $\left(- 4 , 3 , 5\right\}$
The relation is a function since each element of the domain maps into only one element of the range.

#### Explanation:

A relationship defined by a set of pairs such as
$\textcolor{w h i t e}{\text{XXX}} \left(x , y\right) \in \left\{\begin{matrix}5 & - 4 \\ 3 & - 4 \\ - 5 & 3 \\ - 4 & 5\end{matrix}\right\}$

has as its Domain the collection of values corresponding to $x$
and as its Range the collection of values corresponding to $y$

The relationship is a function if no value of $x$ is paired with more than one value of $y$