College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 2 - Section 2.3 - Functions - 2.3 Exercises - Page 200: 21

Answer

Function. Domain: $(-\infty,\ \infty)$ Range: $(-\infty,\infty)$

Work Step by Step

This graph is a function because it passes the vertical line test -- an arbitrary vertical line will only pass the graph at one point, indicating that there is only one $y$ value for each $x$ value. We can see that both the domain and range consist of all real numbers (the graph spans all values of x and y).: Domain: $(-\infty,\ \infty)$ Range: $(-\infty,\infty)$
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