Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-6 Formalizing Relations and Functions - Practice and Problem-Solving Exercises - Page 272: 31

Answer

The following relations is a function.

Work Step by Step

The relation {(a, b), (b, a), (c, c), (e,d)} is a function. to solve this we can suppose that a=1, b=2. c=3 , d=4 and e=5. Using these values for the variables, the set becomes {(1, 2), (2, 1), (3, 3), (5,4). This shows that the following relations is a function because for each x value there is only one y-cordinate value. Thus the relation passes the vertical line test as there are no two y values for one x values and therefore the relation is a function.
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.