Answer:
Option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
If we carefully analyze the options A, B, and C, all the options represent the function because all of them represent a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
Considering the given relation in option D
{(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)}
If we carefully analyze the option D, we can easily determine that the value of x = 19 is repeated twice.
In other words, the x-value x = 19 is duplicated.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, the relation {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} DOES NOT represent the function.
Hence, option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.
