College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding - Page 211: 22

Answer

domain: $\left\{\text{Less then 9th grade, 9th-12th grade, High School Graduate,} \\\text{Some College, College Graduate}\right\}$ range: $\left\{\text{\$18,120, \$23,251, \$36,055, \$45,810, \$67,165}\right\}$ The relation is a function.

Work Step by Step

The domain is the set of the first coordinates while the range is the set of second coordinates. Thus, the given relation has: domain: $\left\{\text{Less than 9th grade, 9th-12th grade, High School Graduate,} \\\text{ Some College, College Graduate}\right\}$ range: $\left\{\text{\$18,120, \$23,251, \$36,055, \$45,810, \$67,165}\right\}$ Every first element is paired/mapped with only one second element so the relation is a function.
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