A function is defined as { (0,1), (2,3), (5,8), (7,2) }. Issac is asked to created one more ordered pair for the function. Which ordered pair can be add to the set to keep it a function? (0,2) (5,3) (7,0) (1,3)

A function is a relation that maps to each input value exactly one output value.

Given the function as { (0,1), (2,3), (5,8), (7,2) }, you can rewrite it

f (0) = 1; f (2) = 3; f (5) = 8; f (7) = 2.

Now consider all options:

the ordered pair (0,2) cannot be add to this function, because then f (0) = 2, but you have already that f (0) = 1 and output value should be one value; the ordered pair (5,3) cannot be add to this function, because then f (5) = 3, but f (5) = 8 (given) and output value should be one; the ordered pair (7,0) cannot be add to this function, because then f (7) = 0, but f (7) = 2; the ordered pair (1,3) can be add to the set, because f (1) = 3 is unique ordered pair (with 1st coordinate 1)

Answer: correct option D