Question

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)}

Answer 1

D. {(8, 1), (4, 1), (0, 1), (–15, 1)}

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 ..