To calculate: To determine whether the relation is a function
Answer to Problem 7E
Relation is not a function
Explanation of Solution
Given: Relation is defined as
Input, x | 16 | 1 | 0 | 1 | 16 |
Output, y | -2 | -1 | 0 | 1 | 2 |
Formula Used:
Any set of ordered pairs is a function when none of the ordered pair in set have same first coordinate with different second coordinate
Calculation:
Relation is given as follows:
Input, x | 16 | 1 | 0 | 1 | 16 |
Output, y | -2 | -1 | 0 | 1 | 2 |
Set of ordered pairs are defined as:
Now consider the ordered pairs
Here, first coordinate is
Also, consider the ordered pairs
Here, first coordinate is
There existsfour ordered pairs that have same first coordinate with different second coordinate.
Thus, the relation is not a function
Conclusion:
Hence, relation is not a function
Chapter 3 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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