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 - 7.2 Domain and Range - 7.2 Exercise Set - Page 458: 32


Domain = $\{x\in \mathbb{R}\ |\ x\leq 3\}$, or $(-\infty,3]$ Range = $\{y\in \mathbb{R}\ |\ y\geq 0\}$, or $[0,\infty)$

Work Step by Step

If the function is described by a graph, then the domain is the set of all first coordinates of the points on the graph. The range is the set of all second coordinates. The first coordinate of a point of the graph can be any real number, left of and including 3. Domain =$\{x\in \mathbb{R}\ |\ x\leq 3\}$, or $(-\infty,3]$ The second coordinate can be any nonegative real number, ( 0 and upwards ) Range = $\{y\in \mathbb{R}\ |\ y\geq 0\}$, or $[0,\infty)$
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