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: 23

Answer

Domain : {1,2,3,4,5} Range : {1} Yes this is a function.

Work Step by Step

The question asks us to find the domain, range and to determine if the relation given to us is a function. A relation is a set of ordered pairs.The relation given is { (1,1),(2,1),(3,1),(4,1),(5,1) } In order to find the domain and range, you look at x and y. $(x,y)$ Our x is the first number and our y will be the second number. From this, we can tell our domain (x) are { 1,2,3,4,5 } Our range is 1. Since the range is the same we only have to list it once. {1} In order to check if this qualifies as a function, we must check to see if each x point has a corresponding y point. X points can have the same shared y point. Since each x points shares a y point as it's ordered pair, this relation is a function.
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