To determine if the given set of ordered pairs defines a function, we need to check if every input (the first component of each ordered pair) maps to exactly one output (the second component).

The set of ordered pairs is:

$\{ (-8, -8), (-3, 8), (-2, -8), (2, -5) \}$

Now, let's check the inputs (first components):

• The input $-8$ maps to $-8$.
• The input $-3$ maps to $8$.
• The input $-2$ maps to $-8$.
• The input $2$ maps to $-5$.

Since each input has only one corresponding output, this set defines a function.

To summarize:

• Every input (first component) in the set is associated with exactly one output (second component).

Do you want further explanation or have any specific questions about this?

Here are 5 follow-up questions:

1. How do you determine if a relation is a function using the vertical line test?
2. Can a function have the same output for different inputs?
3. What is the definition of a function in mathematical terms?
4. How would you determine whether a set of ordered pairs is a function when the input values are not distinct?
5. Can a function have multiple outputs for a single input?

Tip: When checking for a function, always ensure that no input repeats with different outputs.