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 - 7.1 Introduction to Function - 7.1 Exercise Set - Page 449: 18


This is not a function.

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. --- We ask: 1. Does EACH member of the band play an instrument? Not necessarily. A singer, for example, needs not play an instrument. 2. Can a member of the band know how to play more than one instrument? Yes, so the EXACTLY ONE clause is also violated. This is not a function.
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