Give your own example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and +5.
To determine if a set of ordered pairs models a function, we need to make sure that each element of the domain is paired with only one element of the range. Let's create an example using the given criteria:
Domain: {1, 4, 7, 10}
Range: {-12, -6, 2, 5}
Example of four ordered pairs:
(1, -12)
(4, -6)
(7, -12)
(10, 2)
In this example, all elements in the domain are paired with elements in the range. However, for a set of ordered pairs to represent a function, each element of the domain should be paired with only one element of the range. Since the first element in the domain, 1, is paired with both -12 and -6, this set of ordered pairs does not model a function.