Answer
Our vertical asymptote is $x = 0$ and our horizontal asymptote is $y = 0$
See attached file for graph.
Work Step by Step
To find the vertical and horizontal asymptotes, we must look at the equation. In the graph of the rational function:
$y = \frac{a}{x-b}+c$
$x = b$ is the vertical asymptote and $y=c$ is the horizontal asymptote.
Therefore, looking at the given rational function, $y = \frac{3}{x}$, we can think about it as:
$y = \frac{3}{x-0}+0$
This helps us see that our vertical asymptote is $x = 0$ and our horizontal asymptote is $y = 0$.
See attached file for explanation of graph.
