Question

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

A. {(1, 5), (2, 6), (4, 5)}
B. {(5, 5), (6, 5), (5, 6)}
C. {(2, 3), (-4, 5), (2, 6)}
D. {(2, 3), (2, 6), (-2, 8)}

Answer 1

The set A {(1, 5), (2, 6), (4, 5)} is a function.

Step-by-step explanation:

A function is a relation between a set of inputs (the domain) and a set of outputs (the range) where each input is related to exactly one output. To determine if a set of ordered pairs is a function, we need to check if each input is paired with only one output.

Out of the given sets of ordered pairs, the only set that represents a function is A. {(1, 5), (2, 6), (4, 5)}. In this set, each input (x-value) is paired with exactly one output (y-value).