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: 24

Answer

x-intercepts: none. y-intercept: $-\displaystyle \frac{1}{2}.$

Work Step by Step

The y- intercept is the value $r(0)$, if defined. $r(0)=\displaystyle \frac{2}{0+0-4}=-\frac{1}{2}$ 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 $ 2=0\quad$ This never occurs, so there are no x-intercepts.
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