Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Mid-Chapter Check Point: 4

Answer

The given relation does not represent a function. domain: $(-3, 4]$ range: $[-1, 2]$

Work Step by Step

The x-values vary from $-3$ to $4$. However, since a hole (or hollow dot) was used to plot $(-3, 0)$, this means that the point is not really part of the graph. Thus, the domain is $(-3, 4]$. The y-values vary from $-1$ to $2$. Thus, the range is $[-1, 2]$ Note the number of vertical lines (such as $x=0$) that will pass through the graph at more than one point. The graph fails the vertical line test; therefore, the graph does not represent a function.
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