Question

A function is defined as {(0, 1), (2, 3), (5, 8), (7, 2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function? Please help.1) (0, 2)2) (1, 3)3) (5, 3)4) (7, 0)

Answer 1

The correct answer is 2 . (1 , 3)

Explanation:

A function is used to denote a particular relationship between variables. They can even be visualized as an input-output machine.

Every function has a domain set and a co-domain set. A function maps elements from domain to the elements of co-domain.

Here the domain can be considered as { 0 , 2 , 5 , 7}.

Here the co- domain can be considered as { 1 , 3, 8 , 2}.

For a function to be a valid function, all elements from the domain should have an image in the co- domain and every element of domain should have exactly one image in the co-domain.

Here the options 1 , 3 and 4 violate the second necessary criteria for the function to be valid.

Hence (1 , 3) is the correct answer.