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Use the graph of the function to find its domain and range. Write the domain and range in interval notation.

Let's examine the graph to determine the **domain** and **range** of the function.

### Domain:
The domain of a function refers to all the possible input values (x-values) over which the function is defined. From the graph, the function begins at around \( x = -4 \) and ends at around \( x = 4 \). The function appears continuous within this interval, meaning all x-values between these two points are part of the domain.

Thus, the domain is:
\[
\text{Domain} = [-4, 4]
\]

### Range:
The range refers to all possible output values (y-values) of the function. From the graph, the lowest point of the function is at \( y = -5 \), and the highest point is around \( y = 2 \). Therefore, the function covers all y-values between -5 and 2.

Thus, the range is:
\[
\text{Range} = [-5, 2]
\]

### Final Answer:
- **Domain**: \([-4, 4]\)
- **Range**: \([-5, 2]\)

Would you like further clarification on this, or any additional details?

Here are 5 related questions for further practice:
1. How can you determine the domain and range of a function from its equation?
2. What are the conditions for a function to have a restricted domain?
3. How do you describe a continuous function versus a discrete function on a graph?
4. Can the domain of a function ever be larger than its range?
5. How does the vertical line test help determine if a graph represents a function?

**Tip:** Always look for discontinuities (like holes or jumps) in the graph when determining the domain and range, as they can limit the intervals.

Learn how to find the domain and range of a function by analyzing its graph. In this example, the function has a domain of [-4, 4] and a range of [-5, 2]. This problem introduces key concepts like domain, range, and graph analysis. Suitable for students in Grades 7-9.

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