Find the ordered pair should change the relation to a function
Answer to Problem 1CR
Option D is correct.
Explanation of Solution
Given:
The ordered Pair:
Options given:
A: Replace (6, 3) with (4, 3)
B: Replace (6, 5) with (2, 6)
C: Replace (6, 3) with (6, -2)
D: Replace (6, 5) with (5, 6)
Concept Used:
Relation: A relation is a set of ordered pairs.
Function: A Function is a relation for which each value from the set the first components of the ordered pairs is associated with exactly one value from the set of second components of the ordered pair.
Example : The following relation is a function:( − 1 , 0 ) , ( 0 , 3 ) , ( 2 , −3 ) , (3 ,0 ) , ( 4 , 5 )
From these ordered pairs we have the following sets of first components ( i.e. the first number from each ordered pair) and second components ( i.e. the second number from each ordered pair).
Calculation:
The ordered pair:
This is a relation.
The first components are:
To make the relation into a function the first component should be different but the second component can be same.
In the question: Options are given:
Options given:
A: Replace (6, 3) with (4, 3)
B: Replace (6, 5) with (2, 6)
C: Replace (6, 3) with (6, -2)
D: Replace (6, 5) with (5, 6)
The relation given, the first components are: The first components are:
To make it a function we need to change one 6 except the numbers: − 1,2,4,6
In option D:Replace (6,5) with (5,6), then the first components are: {− 1,2,4,6,5}.
Now the relation is: .
Option D is correct: D: Replace (6, 5) with (5, 6)
Thus, the option D is correct.
Chapter 2 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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Introductory Statistics
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