Answer
The given relation defines $y$ as a function of $x$.
domain: $(-\infty, +\infty)$
range: $(-\infty, +\infty)$
Work Step by Step
For every value of $x$, the equation $y=-6x+4$ gives only one value of $y$. This means that every value of $x$, $x$ is paired with only one value of $y$.
Thus, the given relation defines $y$ as a function of $x$.
The value of $x$ can be any real number so the domain is $(-\infty, +\infty)$.
Since $x$ can be any real number and $y$ is four more than the product of $-6$ and $x$, then $y$ can be any real number as well.
Thus, the range is $(-\infty, +\infty)$ .
