https://file.aiquickdraw.com/mathbot/file/1726490981248gw9h2o68.jpg

To determine the domain of the function in the provided graph, we need to analyze the x-values where the function is defined.

From the graph:

- The function starts at \( x = -5 \) and ends at \( x = 2 \).
- Both endpoints have open circles, which means that the values at \( x = -5 \) and \( x = 2 \) are **not** included in the domain.

Thus, the domain of the function using interval notation is:

\[
(-5, 2)
\]

Would you like more details, or do you have any questions?

Here are 5 related questions to further explore this concept:
1. What would change in the domain if one of the endpoints was a closed circle?
2. How do we determine the range of a function from a graph?
3. What is the difference between open and closed intervals in domain notation?
4. Can you explain how to find the domain of more complex functions, such as rational or square root functions?
5. How does the concept of a function's domain apply in real-world scenarios?

**Tip:** When interpreting the domain from a graph, always check the endpoints and any breaks in the graph to ensure you identify all intervals where the function is defined.

Write the domain of the function using interval notation based on the graph provided.

Learn how to find the domain of a function from a graph using interval notation. This example shows a function with endpoints and involves understanding open intervals. Suitable for Grades 8-10.

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