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: 3

Answer

The given relation represents a function. domain: $[-2, 2)$ range: $[0, 3]$

Work Step by Step

Note the all possible vertical lines that will pass through the graph will do so at exactly one point. The graph passes the vertical line test; therefore, the graph represents a function. The x-values vary from $-2$ to $2$. However, since a hole (or hollow dot) was used to plot $(2, 1)$, it means that the point is not really part of the graph. Thus, the domain is $[-2, 2)$. The y-values vary from $0$ to $3$. Thus, the range is $[0, 3]$
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