To calculate: To describe and correct the error in the statement
Answer to Problem 19E
Corrected Statement is: “The relation is a function. One output is paired with two inputs”
Explanation of Solution
Given: Relation is defined as
Input, x | 1 | 2 | 3 | 4 | 5 |
Output, y | 6 | 7 | 8 | 6 | 9 |
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 | 1 | 2 | 3 | 4 | 5 |
Output, y | 6 | 7 | 8 | 6 | 9 |
Statement is given as
“The relation is not a function. One output is paired with two inputs”
Error in the statement is that “The relation is a function”. This is because as per the definition of function for a ordered pair, if none of the ordered pair in set have same first coordinate with different second coordinate, then the relation is a function.
Corrected Statement is:
“The relation is a function. One output is paired with two inputs”
Conclusion:
Hence, Corrected Statement is:“The relation is a function. One output is paired with two inputs”
Chapter 3 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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