https://file.aiquickdraw.com/mathbot/file/17284012116044eezk1ms.jpg

To determine the domain of the function, we focus on the x-values for which the function is defined. In the graph, the function appears as a semi-circle situated between \( x = -10 \) and \( x = 10 \).

Therefore, the domain of this function is all x-values from \(-10\) to \(10\), inclusive. This can be expressed as:

\[
[-10, 10]
\]

Any x-value within this interval is in the domain of the function. Values outside of this range are not in the domain.

Would you like further details or have any questions about this problem?

Here are five related questions for further exploration:
1. What is the range of the function shown in the graph?
2. How would the domain change if the semi-circle extended beyond \( x = -10 \) and \( x = 10 \)?
3. What kind of equation might represent this semi-circle?
4. How can you determine the domain of other functions, such as quadratic or rational functions?
5. What does the domain of a function represent in practical scenarios?

**Tip:** When determining the domain from a graph, focus on the x-values covered by the function.

Which of the following values are in the domain of the function graphed below?

Learn how to determine the domain of a function from its graph. This question focuses on identifying the x-values for which the function is defined, based on the graph of a semi-circle. Suitable for students in Grades 9-12.

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