Answer:
Option (D) is correct.
Step-by-step explanation:
A function can be termed as a process from a set of x values to a set of possible y-values where each x-value relates to exactly one y-value.
In other words, a relation can only be a function there is no repetition of x-values. It means a relation can not have duplicated inputs.
Given the sets
Set A: (5,2), (4, 3), (3, 4), (2,5)
Set B: (-1,-6), (0, 2), (1, 2), (3, 6)
Set C: (2, 1), (4, 2), (2, 3), (8,4)
It is clear that sets A and B represent the function because, in these sets, each x-value relates to exactly one y-value. In other words, there are no duplicated inputs.
But, set C has duplicated inputs i.e. x = 2 is repeated twice, and a function can not have a repeated input.
Therefore, we conclude that set A and set B represent a function.
Thus, option (D) is correct.
