## Intermediate Algebra (12th Edition)

$\text{ NOT a function }\\\text{Domain: } \{ -4,1 \} \\\text{Range: } \{-5,-2,2,5\}$
$\bf{\text{Solution Outline:}}$ 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}