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The task involves determining the domain and range of the function based on the provided graph.

### Domain:
The domain of a function is the set of all possible \( x \)-values (inputs) for which the function is defined. Looking at the graph:

- The function appears to start at \( x = -9 \) and ends at \( x = 8 \), covering all values between these two points.
- Therefore, the domain is \( [-9, 8] \).

### Range:
The range of a function is the set of all possible \( y \)-values (outputs) that the function can take. From the graph:

- The lowest point is \( y = -6 \), and the highest point is \( y = 7 \).
- Thus, the range is \( [-6, 7] \).

### Correct Answers:
- **Domain**: \( [-9, 8] \), which corresponds to option **D**.
- **Range**: \( [-6, 7] \), which corresponds to option **A**.

Would you like a detailed explanation of how to analyze the graph or how domain and range are determined?

### Related Questions:
1. How do you determine the domain from a graph with gaps or discontinuities?
2. Can a function have the same domain but different ranges?
3. How do you express domain and range for piecewise functions?
4. What happens to the domain when a function includes vertical asymptotes?
5. How do transformations (shifting or stretching) affect the domain and range?

### Tip:
Always carefully check the endpoints on the graph to see if they are included or excluded (closed or open circles), as this can change the domain and range.

Find the domain and range of the function whose graph is provided.

Discover how to find the domain and range of a piecewise-defined function from a graph. This example covers important concepts like graph analysis, function inputs (domain), and outputs (range), making it ideal for students in grades 9-12.

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