Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - Study Summary - Practice Exercises: 3

Answer

domain: $(-\infty, +\infty)$ range: $[-2, +\infty)$

Work Step by Step

The domain is the set that contains all the x-values of a function. The range is the set that contains all the y-values of a function. The given graph covers all possible values of $x$ since there is an arrow going to the left and an arrow going to the right. Thus, the domain is the set of real numbers. In interval notation, the domain is $(-\infty, +\infty)$. The given graph covers the $y$ values from $-2$ and above. Thus, the domain is the set of real numbers that are greater than or equal to $-2$.. In interval notation, the range is $[-2, +\infty)$.
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