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: 69

Answer

Slant asymptote: $y=x+2$, vertical asymptote $x=2$, see graph.

Work Step by Step

1. Use synthetic division as shown in the figure, we get the quotient as $x+2$, which gives the slant asymptote as $y=x+2$. 2. The vertical asymptote can be find as $x=2$ (zero of denominator) 3. The function can be graphed as shown in the figure (red curve) together with the slant and vertical asymptotes.
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