Which relation is a function? A. { (-4, - 6), (-3, - 2), (1, - 2), (1, 0) } B. { (-2, - 12), (-2, 0), (-2, 4), (-2, 11) } C. { (0, 1), (0, 2), (1, 2), (1, 3) } D. { (8, 1), (4, 1), (0, 1), (-15, 1) }

D. { (8, 1), (4, 1), (0, 1), (-15, 1) }

Step-by-step explanation:

A function can not contain two ordered pairs with the same first elements.

Let us look at the options one by one:

A. { (-4, - 6), (-3, - 2), (1, - 2), (1, 0) }

Not a function because (1, - 2), (1, 0) have same first element.

B. { (-2, - 12), (-2, 0), (-2, 4), (-2, 11) }

Not a function because all the ordered pairs have the same first element.

C. { (0, 1), (0, 2), (1, 2), (1, 3) }

Not a function because (0, 1), (0, 2) have same first element.

D. { (8, 1), (4, 1), (0, 1), (-15, 1) }

This is a function because all the ordered pairs have different first elements i. e. no repetition in first elements of the ordered pairs

Therefore, option D is correct ...