Give your own example of a function using a set of at least 4 ordered pairs. The DOMAIN will be any four integers between 0 and +10. The RANGE will be any four integers between -12 and 5. Your example should NOT be the same as those of other students or the textbook. There are thousands of examples.

Explain why your example models a function. This is extremely important for your learning.
Give your own example of at least 4 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. Your example should NOT be the same as those of other students or the textbook. There are thousands of examples.
Explain why your example DOES NOT model a function.

Example of a function:

Let's say we have a function that represents the temperature conversion from Celsius to Fahrenheit. The domain will be four integers between 0 and +10: {2, 4, 7, 9}. The range will be four corresponding integers between -12 and 5: {28, 39, 45, 48}.
Here are the ordered pairs: {(2, 28), (4, 39), (7, 45), (9, 48)}.
This example models a function because each input (Celsius temperature) is associated with exactly one output (Fahrenheit temperature), and no two different inputs give the same output. In other words, for each distinct input, there is a unique output.

Example that does not model a function:
Let's consider a scenario where we have a function that represents the age conversion from days to months. The domain will be four integers between 0 and +10: {2, 5, 8, 10}. The range will be four corresponding integers between -12 and +5: {3, 7, 5, -2}.
Here are the ordered pairs: {(2, 3), (5, 7), (8, 5), (10, -2)}.
This example does not model a function because one of the inputs, 8, is associated with two different outputs: 5 and -2. In a function, each input must have only one corresponding output, but in this case, the input 8 has two outputs. Therefore, this example violates the definition of a function.