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: 30

Answer

Domain = $\mathbb{R}\backslash\{5\}$ or $\{x\in \mathbb{R}\ |\ x\neq 5\}$, Range = $\mathbb{R}\backslash\{2\}$ or $\{y\in \mathbb{R}\ |\ y \neq 2\}$

Work Step by Step

The range is the set of all second coordinates. The empty dot at $(5,2)$ 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 $5$. Domain = $\mathbb{R}\backslash\{5\}$ or $\{x\in \mathbb{R}\ |\ x\neq 5\}$, The second coordinates can be any real number, except $2$. Range = $\mathbb{R}\backslash\{2\}$ or $\{y\in \mathbb{R}\ |\ y \neq 2\}$
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