Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - Chapter Review - Review Exercises - Page 113: 24

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:
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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: $\{-0.5,-0,4,-0.3,0,0.3,0.4,0.5\}$
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