Question

Which of the sets of ordered pairs represents a function?

A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}

Answer 1

A function assigns each input exactly one output... x-values don't repeatA and B are both functions

Answer 2

Answer: Both the sets A and B represents a function.

Step-by-step explanation: We are given to select the correct set of ordered pairs that represent a function :

A = {(3, −5), (4, 6), (−3, 9), (2, 7)}

B = {(2, 4), (−1, −7), (5, 6), (4, 3)}

We know that

A set of ordered pairs represents a function if each first element is associated with unique second element.

In set A, we see that no first element is associated to more than one second element. So, the set A represents a function.

In set B also, we see that each first element is associated to a unique second element. So, the set B is also a function.

Thus, both the sets A and B represents a function.