Answer
See graph.
Work Step by Step
Step 1. Rewrite the function to get $r(x)=\frac{(x^2+x)+(x+1)-4}{x+1}=x+1-\frac{4}{x+1}$. Thus we can identify a vertical asymptote $x=-1$ and an oblique asymptote $y=x+1$.
Step 2. We can find the x-intercept(s) by letting $y=0$ to get $x=-3,1$
Step 3. We can find the y-intercept(s) by letting $x=0$ to get $y=-3$
Step 4. Use the above results and test points to plot. See graph.
