Question

Match the ordered pairs so that the relation defined by the set of ordered pairs does not represent a function.

A) (2, 3)
B) (-5, 2)
C) (-5, 1)
D) (6, -5)

A) (6, 5)
B) (2, 2)
C) (0, 3)
D) (-1, 6)

Answer 1

Matching the ordered pairs (-5, 2) and (-5, 1) results in a relation that does not represent a function because the input of -5 corresponds to two different outputs (2 and 1), breaking the rule that a function must have only one output for each input.

Step-by-step explanation:

To determine which set of ordered pairs, when matched, results in a relation that does not represent a function, we need to make a match that violates the definition of a function. A function is a relation where every input (x-value) has a unique output (y-value). Thus, matching ordered pairs that share the same first element (x-value) but have different second elements (y-values) would result in a non-function.

Looking at the sets provided, we want to pair (-5, 2) from the first set with (-5, 1) from the second set. Both ordered pairs have the same x-value of -5 but different y-values of 2 and 1, respectively. Therefore, this match will result in a relation that is not a function because the input of -5 is related to two different outputs.