Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.6 - Rational Expressions - 3.6 Exercises - Page 309: 72

Answer

slant: $y=-\frac{1}{2}x+1$ vertical: $x=1$

Work Step by Step

Rewrite the function as $r(x)=\frac{1}{2}\frac{-x^2+3x}{x-1}$ and use synthetic division to get $r(x)=-\frac{1}{2}x+1+\frac{1}{x-1}$ identify the asymptotes as slant: $y=-\frac{1}{2}x+1$ vertical: $x=1$
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