Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 54: 18

Answer

This relation between "Level of education" and "Average income" represents a function. Domain: $\left\{\text{Less than 9th grade, 9th-12th grade, High School Graduate, Some College, College Graduate}\right\}$ Range: $\left\{\$18,120, \space\$23,251, \space\$36,055, \space\$45,810, \space\$67,165\right\}$

Work Step by Step

According to the definition of a function, it has to be a relation where each value from the first set is paired with exactly one element from the second set of elements. In this example, each of the 5 values from the first set: "Level of education" is paired with exactly one element from the second set: "Average income." Therefore, this relation represents a function. The function has: Domain: $\left\{\text{Less than 9th grade, 9th-12th grade, High School Graduate, Some College, College Graduate}\right\}$ Range: $\left\{\$18,120, \space\$23,251, \space\$36,055, \space\$45,810, \space\$67,165\right\}$
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