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: 34


The relation is a function.

Work Step by Step

The relation {(a, b), (b, c), (c, d), (d,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, 3), (3, 4), (4,5). 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.
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