Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - 1.1 - Graphs of Equations - 1.1 Exercises - Page 79: 29

Answer

Symmetry with respect to the origin only.

Work Step by Step

Equation : $y=\frac{x}{x^2+1}$ Plug -y instead of y, LHS changes sign. (-y) Plug -x instead of x, RHS changes sign. (-$\frac{x}{x^2+1}$) Since both change sign (but not the magnitude, equation is symmetric about origin.
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