Answer
See the graph
Work Step by Step
Given: $\frac{1}{x}+3$
From the form of the function, we can see that there is a vertical asymptote at $x = 0$ and a horizontal asymptote at $y = 3$. Sketch the asymptotes.
Make a list of values:
$x=-1 \rightarrow y=2$
$x=0 \rightarrow y=3$
$x=1 \rightarrow y=4$