Answer
Pairs: $(-3,-0.3),\ (-2,-0.4),\ (-1,0.5),\ (0, 0),\ (1,0.5),\ (2, 0.4),\ (3, 0.3)$
Range: $\{-0.5,-0,4,-0.3,0,0.3,0.4,0.5\}$
Graph:
Work Step by Step
$y=\displaystyle \frac{x}{x^{2}+1}$
$\left[\begin{array}{rc}
x & y\\
-3 & \frac{-3}{9+1}=-0.3\\
-2 & \frac{-2}{5+1}=-0.4\\
-1 & \frac{-1}{1+1}=-0.5\\
0 & \frac{0}{0+1}=0\\
1 & \frac{1}{1+1}=0.5\\
2 & \frac{2}{4+1}=0.4\\
3 & \frac{3}{9+1}=0.3
\end{array}\right]$
Pairs: $(-3,-0.3),\ (-2,-0.4),\ (-1,0.5),\ (0, 0),\ (1,0.5),\ (2, 0.4),\ (3, 0.3)$
Range: $\{-0.5,-0,4,-0.3,0,0.3,0.4,0.5\}$
