Provide an example of at least five ordered pairs that do not model a function.

The domain will be any five integers between 0 and 20. The range will be any five integers between -10 and 10.

To determine whether a set of ordered pairs models a function, we need to check if each input (x-value) is associated with only one output (y-value). If there exists at least one input that is associated with multiple outputs, then the set of ordered pairs does not model a function.

Let's take the domain as [2, 5, 8, 12, 15] (five integers between 0 and 20) and the range as [-6, 0, 3, 5, 8] (five integers between -10 and 10).

1) (2, -6)
2) (5, 0)
3) (8, 3)
4) (12, 5)
5) (5, 8)

In this example, the fourth ordered pair (5, 8) violates the definition of a function because the input value of 5 is associated with two different output values (0 and 8). Therefore, this set of ordered pairs does not model a function.