Question

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

A. (0,4), (1, 2), (1, 0), (2,3)
B. (2,5), (3, 3), (4, 11),(4, 12)
C. (1,7), (2,5), (3, 6), (4,1)
D. (3,-2), (2, -1), (3, 4), (4,7)

Answer 1

The correct answer is C.

Answer 2

Option C, (1,7), (2,5), (3,6), (4,1), is the list of ordered pairs that represents a function.

Step-by-step explanation:

A function is a relation in which each input value (x-value) is paired with exactly one output value (y-value). In other words, for a set of ordered pairs to be a function, no two pairs should have the same x-value but different y-values. Let's analyze the given options:

1. A. (0,4), (1, 2), (1, 0), (2,3) - This is not a function because (1, 2) and (1, 0) have the same x-value (1) but different y-values.
2. B. (2,5), (3, 3), (4, 11),(4, 12) - This is not a function because (4, 11) and (4, 12) have the same x-value (4) but different y-values.
3. C. (1,7), (2,5), (3, 6), (4,1) - This is a function because each x-value is paired with only one y-value.
4. D. (3,-2), (2, -1), (3, 4), (4,7) - This is not a function because (3, -2) and (3, 4) have the same x-value (3) but different y-values.

Therefore, the list of ordered pairs that represents a function is option C.