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To determine the domain and range of the given function from the graph, we'll analyze the behavior of the function.

### Domain:
The domain represents all the possible \( x \)-values for which the function is defined.

- From the graph, the function starts at \( x = -2 \) (closed circle, so it's included) and goes up to \( x = 2 \) (open circle, so it's not included).
- Therefore, the domain in interval notation is:
\[
[-2, 2)
\]

### Range:
The range represents all the possible \( y \)-values that the function can take.

- The \( y \)-values range from \( -2 \) (closed circle) to \( 1 \) (open circle).
- Therefore, the range in interval notation is:
\[
[-2, 1)
\]

Would you like more details or have any questions?

Here are 5 related questions to further explore:
1. How does the type of point (open vs closed) affect the domain and range?
2. How would the domain and range change if the graph extended beyond \( x = 2 \)?
3. What is the significance of closed and open intervals in interval notation?
4. Can you determine if this function is increasing or decreasing in its domain?
5. How would you describe the behavior of the function near \( x = 0 \)?

**Tip**: Always check if the endpoints are included or excluded by noting whether the circles are open or closed on the graph!

Find the domain and range of the function f below using interval notation.

Explore how to find the domain and range of a given function from its graph. This problem focuses on using interval notation to describe the domain and range, with detailed explanations for closed and open circles. Suitable for students in Grades 7-9.

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