## Algebra 1

Our vertical asymptote is $x = 0$ and our horizontal asymptote is $y = 0$ See attached file for graph.
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.