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### Domain and Range of the Function:

1. **Domain**: The domain represents all the possible input values (x-values) for the function.

   - The graph starts from the left at \( x = -2 \) (indicated by the open circle), meaning this point is not included in the domain.
   - The graph continues until \( x = 1 \) (indicated by the closed circle), meaning this point is included in the domain.

   Therefore, the domain is:  
   \[
   (-2, 1]
   \]

2. **Range**: The range represents all the possible output values (y-values) for the function.

   - The highest point on the graph is around \( y = 2 \), which is not included (open circle).
   - The lowest point on the graph is \( y = -1 \), which is included (closed circle).

   Therefore, the range is:  
   \[
   (-1, 2)
   \]

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you find the domain and range of a function algebraically?
2. What is the difference between open and closed intervals in domain and range?
3. How do you determine if a function is continuous based on its graph?
4. How can you identify whether a function is increasing or decreasing from a graph?
5. What is the significance of the domain and range in real-world applications?

**Tip**: When determining the domain and range of a function from a graph, always pay attention to open and closed circles, as they indicate whether specific values are included or not.

Find the domain and range of the function shown.

Find the domain and range of a function based on its graph. The function's domain is from (-2, 1], and the range is from (-1, 2), focusing on open and closed intervals for both x and y values. Suitable for students in Grades 9-11.

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