Question

Which set of ordered pairs represents a function?

1) (2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)
2) (3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)
3) (6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)
4) (–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)

Answer 1

The set of ordered pairs that represents a function is the second set: (3, –1), (7, 1), (–6, –1), (9, 1), (2, –1), because each x-value is unique and maps to only one y-value.

Step-by-step explanation:

To determine which set of ordered pairs represents a function, we need to check if every x-value (the first number in the ordered pair) maps to exactly one y-value (the second number in the ordered pair). This is based on the definition of a function where each input should have only one output.

1. The first set (2, –2), (1, 5), (–2, 2), (1, –3), (8, –1) is not a function because the x-value 1 is paired with two different y-values (5 and –3).
2. The second set (3, –1), (7, 1), (–6, –1), (9, 1), (2, –1) is a function because all the x-values are unique and map to only one y-value.
3. The third set (6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9) is not a function because the x-value –2 is paired with two different y-values (–5 and 9).
4. The fourth set (–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1) is not a function because the x-value –3 is paired with three different y-values (1, 2, and –3).

Therefore, the set that represents a function is the second set of ordered pairs.