Chapter 2.1, Problem 37E

In Problems $37$ and $38$, the three points in the table are on the graph of the indicated function $f$. Do these three points provide sufficient information for you to sketch the graph of $y\text{ =}f\left(x\right)$ ? Add more points to the table until you are satisfied that your sketch is a good representation of the graph of $y\text{ =}f\left(x\right)$ for $-5\le x\le 5$.

$f\left(x\right)=\frac{2x}{x^2+1}$