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 $y=f(x)?$ Add more points to the table until you are satisfied that your sketch is a good representation of the graph of $y=f(x)$ for $-5x5.$

$37.$

$\backslash$table$[[x,-1,0,1],[f(x),-1,0,1]]f(x)=\frac{2x}{x^2+1}$

$\backslash$table$[[x,0,1,2],[f(x),0,1,2]]f(x)=\frac{3x^2}{x^2+2}$