Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.3 - Functions - Exercises - Page 153: 16

Answer

a) All are one-to-one lest someone shares a phone number. b) All are one-to-one (no id is the same). c) If everyone has a different grade. d) If everyone is from a different home town.

Work Step by Step

A function is one to one so long as there are a matching number of elements in each set that do not share the same domain (no vertical line). If each element is potentially unique it is one-to-one. If there is a chance that the elements will be duplicated it is not one-to-one.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.