https://file.aiquickdraw.com/mathbot/file/1727062571705usj70ztw.jpg

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

### Domain:
The domain represents the set of all possible input values (x-values) for which the function is defined. In this graph, we can see that the function extends from \(x = -10\) to \(x = 9\). There are no breaks or discontinuities, so the domain is the continuous interval between these two values.

**Domain in interval notation:**  
\[
[-10, 9]
\]

### Range:
The range represents the set of all possible output values (y-values) that the function can take. From the graph, the function's lowest point is \(y = -5\), and its highest point is \(y = 9\). The function covers all y-values between these points.

**Range in interval notation:**  
\[
[-5, 9]
\]

Would you like more details on how to find the domain and range, or have any other questions?

### Follow-up questions:
1. What is the domain of a quadratic function?
2. How does the range differ for continuous and discrete functions?
3. How can we determine the domain if the function includes a square root?
4. How do vertical and horizontal asymptotes affect the range of a function?
5. Can a function have an unbounded range?

**Tip:** The domain of a function is found by observing the horizontal span of the graph, while the range is found by observing the vertical span.

Determine the domain and the range of the given graph of a function.

Learn how to find the domain and range of a function using its graph. This example covers a step-by-step process of identifying the horizontal span (domain) and vertical span (range) of the function, suitable for Grades 9-11.

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