Answer:
Here is the result:
(2, 3) ↔ (2, 2) ∵ x = 2 is duplicated
(-5, 2) ↔ (-5, 1) ∵ x = -5 is duplicated
(6, -5) ↔ (6, 5) ∵ x = 6 is duplicated
(-1, 0) ↔ (-1, 6) ∵ x = -1 is duplicated
Here, each matching pair has duplicated input values, so neither of them represents the function.
Explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
We are given that we need to match the ordered pairs so that the relation defined by the set of ordered pairs does not represent a function.
Therefore, all we need is to match the ordered pairs which have the same input value as it would violate the relation to be function.
Here is the result:
(2, 3) ↔ (2, 2) ∵ x = 2 is duplicated
(-5, 2) ↔ (-5, 1) ∵ x = -5 is duplicated
(6, -5) ↔ (6, 5) ∵ x = 6 is duplicated
(-1, 0) ↔ (-1, 6) ∵ x = -1 is duplicated
Here, each matching pair has duplicated input values, so neither of them represents the function.