Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Exercise Set - Page 398: 9

Answer

As $x\to -{{3}^{-}}$ , $f\left( x \right)\ \to \ -\infty $

Work Step by Step

We see that there is an asymptote at $x\ =\ -3$. The limit $x\ \to \ -{{3}^{-}}$ implies the left-hand side of $x$ as $x$ approaches $-3$. Therefore, from the graph as $x\ \to \ -{{3}^{-}}$ , $f\left( x \right)\ \to \ -\infty $.
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