Question

Which ordered pair could be removed so that the set of

ordered pairs is a function?
(4, -2)
(-3,2)
(3, 4)
(1,1)

Answer 1

The answer is (-3,2) because when it’s present in the graph the graph would not pass the vertical line test.

Another way to think about it is that -3 (input) has more than one output.

Answer 2

The answer is (-3, 2)

Explanation:

Let's define the two sets

A = {4, -3, 3, 1} and B = {-2, 2, 4, 1 -3}, so that the set of ordered pairs is a function , we should have that to every element from the first set (in this case A) corresponds (or is associate to) an element (and only one element) from the second set (in this case B). But we have that the element -3 in the set A (the domain) is related to the elements 2 and -3 which belong to the set B (the codomain), this in not allowed by the definition of function. So in order to the set of ordered pairs is a function we should remove the pair (-3, 2).