Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.5 The Graph of a Rational Function - 3.5 Assess Your Understanding - Page 256: 57

Answer

$y=\frac{x^2}{(x+2)(x-2)}$

Work Step by Step

Step 1. Identify asymptote(s): V.A. $x=\pm2$, H.A. $y=1$, Step 2. Write a general form $y=\frac{x^2+a}{(x+2)(x-2)}$, Step 3. Use point $(0,0)$, we have $a=0$, Step 4. Provide one solution $y=\frac{x^2}{(x+2)(x-2)}$
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