Question

Which set of ordered pairs represents y as a function of x?

Group of answer choices


A{(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}


B{(0, 0), (0, 1), (0, 2), (0, -1), (0, -2)}


C{(0, 0), (-1, 2), (-1, -2), (-2, 4), (-2, -4)}


D{(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)}

Answer 1

D{(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)}

Explanation:

A function is a relation in which we take every element of the first group and assign an unique element of the second group.

So, the set of ordered pairs that represents y as a function of x is the set that take every value of x and assign an unique value of y.

Then, the set A is not a function because we have the ordered pairs (3,9) and (3,16) in which we have two values of y for the value of x=3.

At the same way, we can said that B and C aren't functions.

Finally, D is the set of ordered pairs that represents y as a function of x because every x has an unique value of y.