Final answer:
Set A is not a function because it contains x-values (1 and 2) that map to more than one y-value, which violates the definition of a function.
Step-by-step explanation:
To determine which set of coordinate pairs does not represent a function, we should check if any x-value maps to more than one y-value. In a function, every x-value must correspond to exactly one y-value. Let's examine the given sets:
- A. (0,0), (1, 1), (1, -1), (2,4), (2, -4)
- B. (-2,-2),(-1, -2),(0, -2), (1, -2), (2, -2)
- C. (-2,4),(2,4),(-1, 1), (1, 1),(0,0)
- D. (0,0), (5,15), (6, 18), (7,21),(10, 30)
Set A includes two pairs with the same x-value (1) but different y-values (1 and -1), as well as two pairs with x-value (2) mapping to different y-values (4 and -4). This means set A is not a function. Sets B, C, and D each have unique y-values for every x-value, making them functions.