Answer
The given relation does not define $y$ as a value of $x$.
domain: $(-\infty, +\infty)$
range : $(-\infty, +\infty)$
Work Step by Step
RECALL:
A function is a relation where every value of $x$ is paired with only one $y$ value.
Substituting $0$ to $x$ gives:
$x-y \lt 4
\\0-y \lt 4
\\-y \lt 4
\\y \gt -4$
This means when $x=0$, $y$ can be any real number greater than $-4$. Thus, when $x=0$, the points $(0, -3), (0, -2), (0, -1)$, plus a lot of others satisfy the inequality.
An $x$ value is paired with more than one value of $y$, then the given relation does not define $y$ as a value of $x$.
$x$ and $y$ can take any value therefore:
domain: $(-\infty, +\infty)$
range : $(-\infty, +\infty)$
