Question

Which set of ordered pairs represents a function?

A) (1, 8), (8, 1), (1, 5), (5, 1)
B) (2, 1), (3, 1), (4, 3), (5, 3)
C) (5, 1), (3, 8), (3, 7), (7, 1)
D) (5, 1), (5, 6), (1, 3), (9, 7)

Answer 1

A set of ordered pairs represents a function if each input is paired with exactly one output. Among the given sets, the set B) (2, 1), (3, 1), (4, 3), (5, 3) represents a function.

Step-by-step explanation:

A set of ordered pairs represents a function if each input (x-value) is paired with exactly one output (y-value). Let's examine each set of ordered pairs:

A) (1, 8), (8, 1), (1, 5), (5, 1) - This set does not represent a function because the input value of 1 is paired with two different output values, 8 and 5.

B) (2, 1), (3, 1), (4, 3), (5, 3) - This set represents a function because each input value is paired with exactly one output value.

C) (5, 1), (3, 8), (3, 7), (7, 1) - This set does not represent a function because the input value of 3 is paired with two different output values, 8 and 7.

D) (5, 1), (5, 6), (1, 3), (9, 7) - This set does not represent a function because the input value of 5 is paired with two different output values, 1 and 6.

Therefore, the set of ordered pairs that represents a function is B) (2, 1), (3, 1), (4, 3), (5, 3).