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To find the domain and range of the graphed function:

### Domain:
The domain of the function represents the set of all possible x-values that the function can take. From the graph, the function starts at \( x = -4 \) (closed dot) and goes up to \( x = 2 \) (open dot). The closed dot at \( x = -4 \) indicates that this point is included in the domain, while the open dot at \( x = 2 \) indicates that this point is not included.

- **Domain**: \( [-4, 2) \)

### Range:
The range of the function represents the set of all possible y-values. From the graph, the lowest y-value is \( y = -5 \), and the highest y-value is \( y = 4 \). The function reaches both of these values at points where there are closed dots.

- **Range**: \( [-5, 4] \)

Would you like more details on this solution or have any other questions?

Here are 5 related questions to expand on this concept:
1. How would the domain change if the open circle at \( x = 2 \) were filled in?
2. Can the domain of a function include infinity?
3. How do you find the range of a function algebraically?
4. What is the significance of closed vs open dots in graphs?
5. How does the shape of the function affect its domain and range?

**Tip**: Always pay attention to open and closed dots on graphs; they determine whether an endpoint is included in the domain or range!

Find the domain and range of the function graphed below.

Learn how to find the domain and range of a function from its graph. This problem includes key concepts of functions, interpreting closed and open points on the graph, and determining valid x and y values. Suitable for students in Grades 8-10.

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