Question

Plz help need now

Does the set of ordered pairs {(2, 100), (13, 13), (14, 5), (60, 4), (100, 1)} define a function?
A.
Yes, because each input has only one output.
B.
No, because 2 is mapped to 100 but 100 is not mapped back to 2.
C.
No, because 13 is paired with itself.
D.
No, because there does not exist a first degree equation which links the x– and y–values in the ordered pairs.

Answer 1

A. Yes, because each input has only one output.

Explanation:

If you check the ordered pair given , the first coordinates are :

`x_(1)` = 2

`x_(2)` = 13

`x_(3)` = 14

`x_(4)` = 60

`x_(5)` = 100

you will notice that each of them appeared once , that means they are distinct , this made the ordered pair a function.