Question

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

A) {(0, 0), (-1, 2), (-1, -2), (-2, 4), (-2, -4)}.
B) {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}.
C) {(0, 0), (0, 1), (0, 2), (0, -1), (0, -2)}.
D) {(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)}.

Answer 1

The set of ordered pairs that represents y as a function of x is option A, {(0, 0), (-1, 2), (-1, -2), (-2, 4), (-2, -4)}.

Step-by-step explanation:

The set of ordered pairs that represents y as a function of x is option A, {(0, 0), (-1, 2), (-1, -2), (-2, 4), (-2, -4)}.

To determine if a set of ordered pairs represents y as a function of x, we need to check if each x-value in the set corresponds to exactly one y-value. In option A, each x-value (-1 and -2) has two corresponding y-values (2 and -2, and 4 and -4, respectively), so it does not satisfy the definition of a function.

The other options B, C, and D also have x-values that correspond to multiple y-values, so none of them represent y as a function of x.

Therefore, the correct answer is option A.