Answer
$\text{Domain: }
(-\infty,\infty)
\\\text{Range: }\{
0\}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To graph the given constant function, $
f(x)=0
,$ draw a horizontal line that passes through the $y$-value of $
5
.$ Then use the graph to identify the domain and range of the function.
$\bf{\text{Solution Details:}}$
The graph of constant functions, $f(x)=c$ where $c$ is a constant, is a horizontal line that passes through the $y$-value of $c.$ Hence, the graph of the given function is a horizontal line that passes through the $y$-value of $
0
.$
Based on the graph the domain and range are as follows:
\begin{array}{l}\require{cancel}
\text{Domain: }
(-\infty,\infty)
\\\text{Range: }\{
0\}
.\end{array}
