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 - Review Exercises: Chapter 7 - Page 495: 4

Answer

True

Work Step by Step

A function is a correspondence between a first set, called the domain, and a second set, called the range, such that each member of the domain corresponds to exactly one member of the range. If we define a function $f(x)=x$, then each x in the domain corresponds to itself, so x is in the range as well. So, Domain $\subseteq$ Range If y is in the range, then y must also be in the domain, as f(y)=y. So, Range $\subseteq$ Domain. Set equality leads to: Domain = Range. The statement is true.
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