https://file.aiquickdraw.com/mathbot/file/1726187954145j0syx0ev.jpg

Looking at the graph provided, we can analyze the domain and range of the function \( h \) by observing the horizontal (x-axis) and vertical (y-axis) limits:

### Domain:
The domain refers to the set of all possible x-values for the function.

- The graph starts at \( x = -5 \) and ends at \( x = 2 \). Both of these points are included in the graph, meaning the domain includes both endpoints.
  
Thus, the domain in interval notation is:
\[
\boxed{[-5, 2]}
\]

### Range:
The range refers to the set of all possible y-values for the function.

- The graph starts at \( y = -4 \) and goes up to \( y = 5 \), with both endpoints being included as well.

Thus, the range in interval notation is:
\[
\boxed{[-4, 5]}
\]

Would you like more details or explanations? 

Here are some related questions:
1. What happens to the domain and range if the graph is shifted left or right?
2. How do we interpret domain and range from different types of graphs, such as parabolas?
3. What is the difference between closed and open intervals in domain and range?
4. How can discontinuities affect the domain and range of a function?
5. Can a function have an infinite domain or range? If so, how is it written?

**Tip**: Always check the endpoints of the graph when writing domain and range in interval notation to see if they are included or not!

The entire graph of the function h is shown. Write the domain and range of h using interval notation.

Learn how to find the domain and range of a continuous function using interval notation. This problem covers key concepts in algebra and graph interpretation, suitable for students in Grades 8-10.

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