To solve the problem:

Question:

Find the domain of the function defined by the table below.

Solution:

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

From the table, the x-values are: $\{ 4, 6, 7 \}$

Final Answer:

The domain is: $\{ 4, 6, 7 \}$

Let me know if you'd like further clarification or assistance!

Expanding Your Learning:

1. What is the range of this function?
2. How is the domain different for continuous versus discrete functions?
3. How do you determine a function's domain when given its equation instead of a table?
4. What happens to the domain when the table includes repeated x-values?
5. Can the domain ever be infinite? If so, under what conditions?

Tip: Always focus on the x-values for the domain and ensure no undefined inputs exist, like division by zero or square roots of negative numbers.