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 448: 9


This is 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. --- Keywords are emphasized. We see from the graphical definition of the function that EACH input from the domain has an arrow pointing from it to a value in the range. and only ONE arrow originates from each member of the domain. This is a function. NOTE: A misconception that some people have is that, because there are two incoming arrows into 2, they conclude that this is not a function. But, f(a)=2, a is awarded one and only one value from the range. f(b)=2, b is awarded one and only one value from the range. No problems here, this is a function.
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