Answer
$\text{Domain:}\;\{1,2\}$
$\text{Range:}\;\{-16,-8,8,16\}$
$\text{No, this relation is not a function.}$
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 $\{1,2\}$. The range of a relation is the set of $y$ values for that relation. In this relation the set of $y$ values is $\{-16,-8,8,16\}$. A relation is a function if each $x$ value has only one unique $y$ value. Since $1$ and $2$, elements of the domain, are repeated with multiple $y$ values, this relation is not a function.