Question

Which set of ordered pairs represents a function?

a) (5, 3), (4, 3), (5, 2)

b) (2, 4), (2, 6), (2, 8)

c) (-8, 6), (-7, 5), (-6, 6)

d) (3, 2), (4, 2), (5, 3)

Answer 1

To determine which set of ordered pairs represents a function, we need to check if there are any repeated x-values. Set c) (-8, 6), (-7, 5), (-6, 6) and d) (3, 2), (4, 2), (5, 3) both represent functions since there are no repeated x-values.

Step-by-step explanation:

A function is a set of ordered pairs where each input has exactly one output. To determine which set of ordered pairs represents a function, we need to check if there are any repeated x-values.

a) (5, 3), (4, 3), (5, 2): This set does not represent a function because there are repeated x-values of 5.

b) (2, 4), (2, 6), (2, 8): This set does not represent a function because there are repeated x-values of 2.

c) (-8, 6), (-7, 5), (-6, 6): This set represents a function because there are no repeated x-values.

d) (3, 2), (4, 2), (5, 3): This set represents a function because there are no repeated x-values.