College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Summary, Review, and Test - Cumulative Review Exercises (Chapters 1-8) - Page 792: 3

Answer

$x: [-2, 1)$

Work Step by Step

The graph of $f(x)$ changes direction on point $(-2, 2)$ and starts descending onwards to negative infinity. However, the graph of $f(x)$ is bound by the vertical asymptote $x=1$ and cannot cross it. We can conclude, therefore, that the graph begins to descend starting when $x=-2$ and continues until $x=1$ without including the value of 1. This is expressed as $x: [-2, 1)$ since -2 is included but 1 is not.
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