https://file.aiquickdraw.com/mathbot/file/1726786301257eh70vnw3.jpg

The graph you've provided depicts an athlete's run, with **time (sec)** on the x-axis and **distance (yd)** on the y-axis. To determine the domain of the function, we need to look at the range of time values on the x-axis where the function is defined.

- The graph starts at **time = 0 seconds** and ends at **time = 12 seconds**. 
- Therefore, the domain of the function represents the interval during which time is measured for the run.

### Domain:
The domain is the set of all possible input values for the time (x-axis), which is:
\[
\boxed{[0, 12]}
\]
This means the function is defined from 0 seconds to 12 seconds.

Let me know if you'd like more details or explanations!

### Follow-up questions:
1. What is the range of the function based on this graph?
2. How would you describe the slope of the graph?
3. Can this graph represent a nonlinear function? Why or why not?
4. If the athlete were to continue running beyond 12 seconds, how would the domain change?
5. What would the graph look like if the athlete ran at a decreasing speed?

### Tip:
When determining the domain of a function from a graph, always focus on the x-values (inputs) for which the graph has points or is defined.

Based on the graph, what is the domain of this function?

Learn how to determine the domain of a linear function based on a graph depicting an athlete's run. The function's domain ranges from 0 to 12 seconds, suitable for students in Grades 6-8.

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