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

(pick an answer)

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

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

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

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

1 answer

The correct set of ordered pairs that represents y as a function of x is:

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

In a function, each input (x-value) corresponds to exactly one output (y-value). In this set of ordered pairs, each x-value has a unique corresponding y-value, making it a function.