Question

Which of the following sets of ordered pairs represents a function?

A) {(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
B) {(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
C) {(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
D) {(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}

Answer 1

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

Explanation:

The set of ordered pairs representing a function is the set A) {(-3, -3), (-2, -2), (-1, -1), (0, 0), (1, 1)}. In a function, each value of x has only one corresponding value of y. In the set A), each value of x has a single associated value of y, which fulfils the definition of a function. In the other sets (B, C, D), there are repeated values of x with different values of y, which does not meet the definition of a function.