Precalculus (6th Edition) Blitzer

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

Chapter 2 - Cumulative Review Exercises - Page 435: 5

Answer

$f\left( x \right)\to \infty $ as $x\to {{2}^{-}}$ or as $x\to -{{2}^{+}}$.

Work Step by Step

The expression $f\left( x \right)\to \infty $ shows at what value of x the value of the y-axis would tend to infinity. We see that as x approaches $-2$ from the right, that is as $x\to -{{2}^{+}}$, then $f\left( x \right)\to \infty $. Further, as x approaches 2 from the left, that is $x\to {{2}^{-}}$, then $f\left( x \right)\to \infty $. Thus, $f\left( x \right)\to \infty $ , as, $x\to -{{2}^{+}}$ or as $x\to {{2}^{-}}$.
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