Question

Which ordered pairs cause this relation NOT to be a function? Why?

{(0, 0.5), (0.5, 1), (3, 1), (1, 6), (3, 2)}
A) (0.5, 1) and (0, 0.5); A function cannot contain decimals.
B) (0.5, 1), (3, 1); The same y-value has different x-values.
C) (3, 1) and (3, 2); The same x-value has different y-values.
D) (3, 1) and (3, 2); The x-value in a function cannot be greater than the y-value.

Answer 1

To be a function, you can only have on y value for each x value.

Answer:
C.

Answer 2

Option C is correct that is (3,1) and (3,2) in this same value of x has different value of y.

Explanation:

The relation is not a function when value of y is different for different x.

That means y should relate to a unique element x

Hence, Option C is correct that is (3,1) and (3,2) in this same value of x has different value of y.

Option A is incorrect because function can contain any value so no point of saying does not contain decimals.

Option B is incorrect because different value of x should be there.

Option D is incorrect because any value can be greater either in x or y.