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: 6

Answer

The given relation represents a function. domain: $(-\infty, 1]$ range: $[-1, +\infty)$

Work Step by Step

The given graph includes the x-values that are less than or equal to 1. Thus, the domain is $(-\infty, 1]$. The given graph includes the y-values that are greater than or equal to $-1$ Thus, the range is $[-1, +\infty)$. 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 given relation represents a function.
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