Answer
$\text{Domain: }
\{-4,-1,2,5\}
\\\text{Range: }
\{-2,0,2\}
\\\text{The set defines a function}$
Work Step by Step
The domain of a set of ordered pairs is the set of all the $x-$coordinates of the ordered pairs, while the range is the set of all $y-$coordinates. Hence, the given set , $\{
(-4,-2),(-1,0), (2,0), (5,2) \}$ has the following characteristics:
\begin{array}{l}\require{cancel}
\text{Domain: }
\{-4,-1,2,5\}
\\\text{Range: }
\{-2,0,2\}
\\\text{The set defines a function}
.\end{array}
The set defines a function since the $x-$coordinates of the ordered pairs are unique (do not repeat).
