The graph shows a semi-circular function that starts at $(-4, 0)$ and ends at $(4, 0)$. The function is defined only between these two points on the x-axis.

Domain in Interval Notation:

The domain includes all x-values from $-4$ to $4$, inclusive of both endpoints. Therefore, the domain of the function is:

$\text{Domain} = [-4, 4]$

Would you like more details or have any questions?

Related Questions:

1. What is the range of this function?
2. How would you find the equation of the semi-circle shown?
3. What is the center and radius of the semi-circle?
4. How do you determine if a function is continuous from its graph?
5. What transformations could produce this graph from the function $y = \sqrt{16 - x^2}$?

Tip:

To determine the domain of a function from its graph, look at the x-values where the graph starts and ends.