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: 29

Answer

Domain = $\mathbb{R}\backslash\{-2\}$ or $\{x\in \mathbb{R}\ |\ x\neq-2\}$ Range = $\mathbb{R}\backslash\{-4\}$ or $\{y\in \mathbb{R}\ |\ y \neq-4\}$

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 empty dot at $(-2,-4)$ indicates that the point does not belong to the graph. The first coordinate of a point of the graph can be any real number, except -2. Domain = $\mathbb{R}\backslash\{-2\}$ or $\{x\in \mathbb{R}\ |\ x\neq-2\}$, The second coordinate can be any real number, except $-4$. Range = $\mathbb{R}\backslash\{-4\}$ or $\{y\in \mathbb{R}\ |\ y \neq-4\}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.