Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 4 - Polynomial and Rational Functions - 4.3 The Graph of a Rational Function - 4.3 Assess Your Understanding - Page 212: 51

Answer

Answer may vary. $R(x)=\frac{x^2}{(x+2)(x-2)}$

Work Step by Step

Answer may vary. Step 1. Identify the vertical asymptotes $x=\pm2$, thus the denominator contains $(x+2)(x-2)$ Step 2. Identify the horizontal asymptote $y=1$, thus the numerator is at the same power as the denominator. Step 3. Identify the intercepts $(0,0)$ Step 4. Propose a function $R(x)=\frac{x^2}{(x+2)(x-2)}$
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