The problem asks for the domain of the function represented by the graph. Let's analyze it:

• The graph shows a line segment that begins at $x = 0$ and ends at $x = 8$.
• The function is defined for all $x$-values between 0 and 8, inclusive.

Thus, the domain of this function includes all values of $x$ from 0 to 8. This corresponds to the interval $0 \leq x \leq 8$.

The correct answer is: $\{ x \mid 0 \leq x \leq 8 \}$

Let me know if you'd like further details or have more questions!

Here are 5 questions you could consider next:

1. What is the range of the function shown in the graph?
2. How would you determine the slope of the line segment?
3. Can you write the equation of the line in the graph?
4. What does the graph of a function tell us about its domain?
5. How would the graph change if the domain were extended beyond 0 and 8?

Tip: The domain of a function is the set of all possible input values (usually $x$-values) for which the function is defined. Always look at the $x$-axis to determine the domain on a graph!