Question

Determine whether the following relation is a function: {(3, 7), (3, 8), (3, -2), (3, 4), (3, 1)}.

A. It is a function because the ordered pairs all have the same x-value.
B. It is not a function because there are multiple y-values paired with a single x-value.
C. It is a function because none of the ordered pairs have the same y-value.
D. It is not a function because none of the ordered pairs have the same y-value.

Answer 1

The given relation is not a function because there are multiple y-values paired with a single x-value.

Step-by-step explanation:

A relation is a function if each input value (x-value) is paired with exactly one output value (y-value). In the given relation, all the ordered pairs have the same x-value, which is 3. However, they have different y-values: 7, 8, -2, 4, and 1. This means that there are multiple y-values paired with a single x-value, making it not a function.