Question

Is the following relation a function?

{(-4,2), (2,-4), (1, 2), (-1, -7)}
A) Yes, it is a function.
B) No, it is not a function.

Answer 1

The given relation {(-4,2), (2,-4), (1, 2), (-1, -7)} is a function because each x-value is matched with exactly one y-value, with no repetitions of x-values.

Step-by-step explanation:

To determine if the given relation {(-4,2), (2,-4), (1, 2), (-1, -7)} is a function, we must assess if each x-value is paired with exactly one y-value. In a function, no x-value may correspond to more than one y-value.

Looking at the provided relation:

• -4 corresponds to 2
• 2 corresponds to -4
• 1 corresponds to 2
• -1 corresponds to -7

Since no x-value is repeated with a different corresponding y-value, this relation meets the criterion of a function.

Therefore, the correct answer is:A) Yes, it is a function.