Answer:
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.