Answer
See graph.
Work Step by Step
We can identify some key features of the given function $R(x)=\frac{2x+1}{x-3}$: vertical asymptote: $x=3$, horizontal asymptote: $y=2$, x-intercept: $x=-\frac{1}{2}$, y-intercept: $y=-\frac{1}{3}$. See graph.