The graph shows a semicircle positioned above the x-axis. To find the domain of the function, we need to identify the x-values for which the graph is defined.

Observing the graph:

• The leftmost point of the graph is at $x = -2$.
• The rightmost point of the graph is at $x = 8$.

Thus, the domain of the function includes all x-values between $-2$ and $8$, inclusive. In interval notation, this is:

$\boxed{[-2, 8]}$

Would you like further explanation or have any other questions?

Here are five related questions:

1. How do you find the range of this function from the graph?
2. What kind of function is represented by this graph?
3. What is the general equation of a circle or semicircle?
4. How would the domain change if the semicircle were shifted horizontally?
5. What happens to the domain if we reflect the graph across the y-axis?

Tip: For any graph, the domain represents the complete set of x-values where the function is defined.