The function $f$ is given as a set of ordered pairs:

$f = \{(2, 9), (5, 6), (3, 7), (0, 8)\}$

To find $f(0)$, you look for the ordered pair where the first value (input) is 0. From the set, the pair $(0, 8)$ tells us that when the input is 0, the output is 8.

Thus, $f(0) = 8$.

Would you like further details on this? Here are some related questions to practice:

1. What is $f(2)$ for the same function?
2. How would you determine if the function $f$ is one-to-one?
3. If you added $(1, 10)$ to this function, would it still be a valid function? Why or why not?
4. How can you graph the function given these ordered pairs?
5. What is the domain and range of the function $f$?

Tip: When working with functions, always ensure that each input (x-value) corresponds to exactly one output (y-value) to satisfy the definition of a function.