The set of ordered pairs representing a function is given.
(1, 3), (2, 4), (5, 6)
Select all of the ordered pairs that could be included in the set so that it remains a function.
(3 points)
Responses
(2, 2)
(2, 2)
(3, 4)
(3, 4)
(4, 4)
(4, 4)
(5, 7)
(5, 7)
(6, 8)
The set of ordered pairs represents a function if each input (x-value) is paired with exactly one output (y-value).
From the given set, the pairs (1, 3), (2, 4), and (5, 6) are already included and form a function.
Now let's check the remaining pairs:
(2, 2): This pair is not already included in the given set, so it can be added to maintain the function.
(3, 4): This pair is already included in the given set, so it should not be added again.
(4, 4): This pair is not already included in the given set, so it can be added to maintain the function.
(5, 7): This pair is not already included in the given set, so it can be added to maintain the function.
(6, 8): This pair is not already included in the given set, so it can be added to maintain the function.
So, the pairs that can be included to maintain the function are:
(2, 2), (4, 4), (5, 7), and (6, 8).