Answer
$\text{
NOT a function
}\\\text{Domain: }
\{ -4,1 \}
\\\text{Range: }
\{-5,-2,2,5\}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
If the first components of the given set, $
\{(-4,2),(-4,-2),(1,5),(1,-5)
\}$ do not repeat (is unique), then the set defines a function. The domain is the set of all first components and the range is the set of second components.
$\bf{\text{Solution Details:}}$
The first components, $-4$ and $1$ are used more than once. Hence the set does not define a function.
The domain is the set of all first components and the range is the set of second components.
Hence, the given set has the following characteristics:
\begin{array}{l}\require{cancel}
\text{
NOT a function
}\\\text{Domain: }
\{ -4,1 \}
\\\text{Range: }
\{-5,-2,2,5\}
.\end{array}
