Question

Which relation is not a function?

5
O A.
3
4
B. (19,11), (6,16), (9, 10). (5,18),
(4,7), (16,4)}
O c. x 14 7
21 28 35
y 7
14 7
35 21
O D. {(19, 11),(4,9), (19,10), (8, 18),
(5,3), (15, 17)

Answer 1

Option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.

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.