Question

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 1

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.