Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 18PT
Related questions
Question
Determine whether each relation is a function:
a. {(1, 6), (2, 6), (3, 8), (4, 9)} b. {(6, 1), (6, 2), (8, 3), (9, 4)}.
Expert Solution
Step 1
Let there be two sets X and Y. A relation from X to Y is said to be a function if each element of X is related to exactly one element in Y. Although two different element of X can be related to the same element in Y.
Step 2
(a) {(1, 6), (2, 6), (3, 8), (4, 9)}
x | y |
1 | 6 |
2 | 6 |
3 | 8 |
4 | 9 |
Values of X are distinct, so this relation is a function.
(b) {(6, 1), (6, 2), (8, 3), (9, 4)}
x | y |
6 | 1 |
6 | 2 |
8 | 3 |
9 | 4 |
Since values in X are not distinct, so this relation is not a function.
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