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To determine the domain and range of the function shown in the graph, let's analyze the plot.

### Domain:
The **domain** is the set of all possible x-values that the function can take.

Looking at the graph:
- The graph starts at \( x = 3 \) and continues to the right until \( x = 4 \). 
- Both endpoints seem to be included in the function, so the domain will include these values.

**Domain:**
\[
[3, 4]
\]

### Range:
The **range** is the set of all possible y-values the function can output.

- The lowest point on the graph is near \( y = 0 \), and the highest point is near \( y = 4 \).

**Range:**
\[
[0, 4]
\]

The domain is from \( x = 3 \) to \( x = 4 \), and the range is from \( y = 0 \) to \( y = 4 \).

Would you like more details or clarifications on the domain and range? Here are a few related questions to expand on this concept:

1. What happens to the domain and range if the endpoints are not included?
2. How can we identify if the graph has a discontinuity affecting domain or range?
3. What is the difference between open and closed intervals in domain and range?
4. How would the domain and range change for a function like a parabola?
5. How do we express domain and range for periodic functions?

**Tip:** When determining domain and range from a graph, always check if the endpoints are included (solid dots) or excluded (open dots) to accurately represent the intervals.

Learn how to determine the domain and range of a function based on a graph. In this example, we explore the function's behavior between x = 3 and x = 4 and determine that the range spans from y = 0 to y = 4. Suitable for students in Grades 8-10.

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