https://file.aiquickdraw.com/mathbot/file/1728582544739yfz10y3w.jpg

From the graph provided, we can determine the domain and range of the function based on its endpoints and shape.

### Domain:
The domain of a function consists of all the possible \( x \)-values the function can take. From the graph, the function starts at \( x = -2 \) and ends at \( x = 2 \). 

- The closed dot at \( x = -2 \) means the function includes this point.
- The open dot at \( x = 2 \) means the function does not include this point.

So, the domain is:
\[
[-2, 2)
\]
This means the function is defined for \( x \) values from -2 to 2, including -2 but not 2.

### Range:
The range of a function consists of all the possible \( y \)-values the function can take. 

- The function reaches its highest point at \( y = 4 \) when \( x = -2 \) (because of the closed dot).
- The function descends to its lowest point at \( y = 0 \) as \( x \) approaches 2, but it does not reach 0 because of the open dot at \( (2, 0) \).

Thus, the range is:
\[
[0, 4]
\]
This means the function takes \( y \)-values from 0 to 4, including both extremes.

### Summary:
- **Domain:** \( [-2, 2) \)
- **Range:** \( [0, 4] \)

Would you like more details, or do you have any other questions?

Here are 5 related questions:
1. How do open and closed dots affect the domain and range?
2. What is the significance of the highest point in determining the range?
3. How can we extend the domain if the graph were to continue past \( x = 2 \)?
4. Can a function have multiple values for the same \( x \)-coordinate?
5. How would the domain and range change if the graph had no open or closed dots?

**Tip:** Always check for open and closed dots in graphs, as they indicate whether the boundary points are included in the domain and range.

Find the domain and range of the function graphed below.

This problem involves finding the domain and range of a function from its graph. The graph contains open and closed dots, indicating included and excluded points in the function's domain and range. Suitable for students in Grades 6-8.

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