https://file.aiquickdraw.com/mathbot/file/1726527224067ivg1pvqy.jpg

The graph you provided appears to depict a function, and to find the domain and range, we need to determine the x- and y-values that the graph covers.

### 1. **Domain** (x-values):
The domain refers to the set of all possible \( x \)-values for which the function is defined. By observing the graph:

- The graph starts at about \( x = -3 \) and ends at around \( x = 3 \).
- There are no gaps in the \( x \)-values between \( -3 \) and \( 3 \).

So, the domain is:
\[
\boxed{[-3, 3]}
\]

### 2. **Range** (y-values):
The range refers to the set of all possible \( y \)-values that the function attains. By examining the graph:

- The graph extends from about \( y = -4 \) to \( y = 0 \).
- There are no gaps in the \( y \)-values between \( -4 \) and \( 0 \).

So, the range is:
\[
\boxed{[-4, 0]}
\]

Would you like further details or have any questions?

### 5 Related Questions:
1. How do you identify the domain and range from a graph?
2. What is the difference between a continuous and discrete domain?
3. Can a function have a domain that excludes certain points?
4. How does the vertical line test help in determining if a graph is a function?
5. What happens to the domain and range if the graph is transformed?

### Tip:
Always remember that the domain is related to the input values (x-axis) and the range to the output values (y-axis) of a function!

Learn how to find the domain and range of a function by analyzing its graph. This example demonstrates the steps for determining the x- and y-values covered by the graph, focusing on the concepts of domain and range. Suitable for students in Grades 9-12.

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