Question

Which of the following represents a function?

a. {(-2, 1), (-2, 0), (-2, 1), (-2, 2)}
b. {(-1, 0), (0, 1), (1, 2), (2, 3)}
c. {(1, 3), (3, 1), (2, 3), (3, 2)}
d. {(5, 5), (5, 4), (5, 3), (5, 2)}

Answer 1

The correct answer is Option (b): {(-1, 0), (0, 1), (1, 2), (2, 3)}, as it represents a function where each input value is paired with exactly one output value.

Step-by-step explanation:

The question given is asking which set of ordered pairs represents a function. A function is a relation where every input (often represented as x) is assigned to exactly one output (often represented as y). So, we need to find the set where each x value is associated with only one y value.

• Option (a): This is not a function because the input -2 is associated with multiple outputs (1, 0, and 2).
• Option (b): This represents a function because each input (-1, 0, 1, 2) is paired with exactly one output (0, 1, 2, 3), and no input is repeated.
• Option (c): This is not a function because the input 3 is associated with two different outputs (1 and 2).
• Option (d): This is not a function because the input 5 is associated with multiple outputs (5, 4, 3, 2).

Therefore, the correct answer is Option (b), which is the set that represents a function.