Which ordered pair could replace the missing value and create a
function?
{(4,5), (-1, 5), (1, 9), (-5, 3), _? }

a (1, -3)
b (-5, 4)
c (4,3)
d (5,-1)

Option D.

Step-by-step explanation:

The given relation is

{(4,5), (-1, 5), (1, 9), (-5, 3), _?}

We need to find the ordered pair that could replace the missing value and create a function.

A relation is called a function if there exist a unique output for each input.

The input values of the given function are 4, -1, 1 and -5.  

For point (1,-3), the given relation has two outputs -3 and 9.

For point (-5,4), the given relation has two outputs 4 and 3.

For point (4,3), the given relation has two outputs 3 and 5.

For point (5,-1), the given relation has exactly one output, i.e., -1.

Therefore, the correct option is D.