Answer
See graph.
Work Step by Step
Step 1. Given $f(x)=\frac{-2}{x^2+1}$, we can identify its V.A. $none$, H.A. $y=0$, x-intercepts: $none$, y-intercepts: $f(0)=-2$.
Step 2. Use the above information and test points to graph the function as shown in the figure.