College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 3, Polynomial and Rational Functions - Section 3.6 - Rational Functions - 3.6 Exercises - Page 344: 25

Answer

x-intercepts: $\pm 3,$ y-intercept: none.

Work Step by Step

The y- intercept is the value $r(0)$, if defined. $ r(0)=\displaystyle \frac{0-9}{0}\qquad$ Which is not defined, so there is no y-intercept. The x intercepts are values of x where $r(x)=0.$ $r(x)=0$ occurs when the numerator equals 0. The numerator is zero when $x^{2}-9=0$ $x^{2}=9$ $x=\pm 3$
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