Answer
$\text{Domain:}\;\{-6\}$
$\text{Range:}\;\{1,2,3,4\}$
$\text{No, this relation is not a function.}$
Work Step by Step
The domain of a relation is the set of $x$ values for that function. In this relation, the set of $x$ values is $\{-6\}$. The range of a relation is the set of $y$ values for that relation. In this relation the set of $y$ values is $\{1,2,3,4\}$. A relation is a function if each $x$ value has only one unique $y$ value. Since $-6$, an element of the domain, is repeated with multiple $y$ values, this relation is not a function.