Answer
domain: $\left\{2\right\}$
range:$\left\{-\infty, +\infty\right\}$
Refer to the graph below.
The line contains the points $(2, 0)$ and $(2, 3)$.
Plot the points above and connect them using a line.
(Refer to the graph in the answer part above.)
Work Step by Step
Solve for $x$ to obtain:
$-3x+6=0
\\-3x+6-6=0-6
\\-3x=-6
\\\frac{-3x}{-3}=\frac{-6}{-3}
\\x=2$
This means the given equation is equivalent to $x=2$.
RECALL:
The line $x=a$, where $a$ is a real number::
(a) is vertical. All points on this line have an x-coordinate of $a$;
(b) has the set of real numbers as its range; and
(c) has a domain of $\left\{a\right\}$
Thus, the graph of the equation $x=2$ is a vertical line.
All points on the line have an x-coordinate of $2$.
The domain is $\left\{2\right\}$.
The range is $\left\{-\infty, +\infty\right\}$.
The line contains the points $(2, 0)$ and $(2, 3)$.
Plot the points above and connect them using a line.
(Refer to the graph in the answer part above.)