https://file.aiquickdraw.com/mathbot/file/17256804632554lcpunuo.jpg

To find the domain and range of the function represented in the graph, we follow these steps:

### Domain:
The **domain** of a function represents all possible input values (x-values) that the function can take.

From the graph, it appears the function starts at \( x = -4 \) (since there's a point on the graph at this x-value), and it ends at \( x = 2 \) (since the graph has a point here and does not extend further). Between these values, the function is continuous.

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

### Range:
The **range** of a function represents all possible output values (y-values) that the function can produce.

From the graph, we look at the lowest and highest points on the y-axis that the function reaches. The lowest point occurs around \( y = -4 \), and the highest point occurs around \( y = 3 \).

- **Range:** \( [-4, 3] \)

### Summary:
- **Domain:** \( [-4, 2] \)
- **Range:** \( [-4, 3] \)

Would you like further clarification or more details on this graph analysis?

Here are five related questions to consider:
1. What does it mean for a function to be continuous on its domain?
2. How can we determine whether the graph represents a function using the vertical line test?
3. What is the importance of identifying key points, such as intercepts, when analyzing a graph?
4. How can transformations (shifts, stretches) affect the domain and range of a function?
5. Can a function have a limited domain but an infinite range?

**Tip:** When analyzing graphs, always look for endpoints, turning points, and any discontinuities to accurately determine domain and range.

Learn how to find the domain and range of a function based on a graph. This problem involves analyzing the graph to determine the x-values and y-values the function can take. Suitable for students in Grades 7-9.

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