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: 19

Answer

Not a function. Domain: [3, $\infty$) Range: $(-\infty,\ \infty)$

Work Step by Step

This graph is not a function because it fails the vertical line test -- a vertical line can pass the graph in two points, indicating that there can be two different $y$ values for one $x$ value (not a function). We can see that the range is all real numbers and the domain is all values greater than or equal to $3$: Domain: [3, $\infty$) Range: $(-\infty,\ \infty)$
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