Question

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

А. (2, 4), (3, 9), (4, 16), (5, 25)
В. (2, 4), (-2, 4), (3, 9), (-2, -4)
С. (0, 2), (4, 2), (0, -4), (4,-2)
D. (1, 1), (2, 3), (1, 5), (4, 7)​

Answer 1

The list of ordered pairs that represents a function is A. (2, 4), (3, 9), (4, 16), (5, 25) because each x-value has a unique y-value, adhering to the definition of a function.

Step-by-step explanation:

To determine which list of ordered pairs is a function, we must check that each input (or x-value) maps to exactly one output (or y-value). A function has the property that each x-value has one and only one corresponding y-value.

1. A. (2, 4), (3, 9), (4, 16), (5, 25) - This set shows that every x-value maps to one y-value, which matches the definition of a function.
2. B. (2, 4), (-2, 4), (3, 9), (-2, -4) - This set is not a function because the x-value -2 maps to two different y-values (4 and -4).
3. C. (0, 2), (4, 2), (0, -4), (4,-2) - This set is not a function because the x-value 0 maps to two different y-values (2 and -4).
4. D. (1, 1), (2, 3), (1, 5), (4, 7) - This set is not a function because the x-value 1 maps to two different y-values (1 and 5).

Therefore, the correct answer is A, as it is the only list where each x-value maps to a single y-value, satisfying the condition of a function.