https://file.aiquickdraw.com/mathbot/file/1726792555950jeb5b4re.jpg

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.

What is the domain of the function shown in the graph below?

Learn how to find the domain of a semicircle function from its graph. This problem involves identifying the x-values where the function is defined, with detailed steps and interval notation. Suitable for students in Grades 8-10.

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