# What is the domain and range for {(2,3), (3,7), (5,-1), (0,0)}?

Sep 20, 2015

Domain $= \left\{0 , 2 , 3 , 5\right\}$
Range $= \left\{- 1 , 0 , 3 , 7\right\}$

#### Explanation:

Given a finite mapping of $x \rightarrow y$ defined by the set
$\left(\textcolor{red}{x} , \textcolor{b l u e}{y}\right) = \left\{\begin{matrix}\textcolor{red}{2} & \textcolor{b l u e}{3} \\ \textcolor{red}{3} & \textcolor{b l u e}{7} \\ \textcolor{red}{5} & \textcolor{b l u e}{- 1} \\ \textcolor{red}{0} & \textcolor{b l u e}{0}\end{matrix}\right\}$

The $\textcolor{red}{\text{Domain}}$ is the set of values for $\textcolor{red}{x}$
and
the $\textcolor{b l u e}{\text{Range}}$ is the set of values for $\textcolor{b l u e}{y}$