Does this table represent a function? Why or why not?

x y

2 1

2 4

3 4

4 2

5 5

A.

Yes, because every x-value corresponds to exactly one y-value.

B.

No, because one x-value corresponds to two different y-values.

C.

Yes, because there are two x-values that are the same.

D.

No, because two of the y-values are the same.

Answer: B.

No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

A relation is said to be a function if each input value (or x-value) corresponds top a unique output value (or y value).

For example : R = { (1,2), (2,4), (3,5), (7,5) } is a function since there exist only one unique value corresponding to each x-value.

In the given relation

x y

2 1

2 4

3 4

4 2

5 5

One x-value corresponds to two different y-values [ 2 corresponds to both 1 and 4]

That means, it is not a function.

Hence, the right option would be:

B.

No, because one x-value corresponds to two different y-values.