https://file.aiquickdraw.com/mathbot/file/1728881508154fln8ylqk.jpg

To find the domain and range of the function from the graph:

1. **Domain**: The domain refers to the possible values of the input variable, which is time (days) on the horizontal axis.
   - From the graph, the time starts at 0 days and extends to 60 days. Therefore, the domain is:  
   \[
   0 \leq x \leq 60
   \]
   where \( x \) represents time in days.

2. **Range**: The range refers to the possible values of the output variable, which is the length of the road (in kilometers) on the vertical axis.
   - From the graph, the length of the road starts at 60 kilometers and increases to 240 kilometers. Therefore, the range is:  
   \[
   60 \leq y \leq 240
   \]
   where \( y \) represents the length of the road in kilometers.

Would you like more details or have any questions on this?

Here are some related questions:
1. What does it mean if the domain is "all reals" in a function?
2. How can we represent the domain and range on a number line?
3. How do we determine domain and range from a table of values?
4. What happens if the graph has breaks or undefined points?
5. Can a function have a limited domain but an infinite range?

**Tip:** The domain represents all valid inputs (x-values), while the range represents all possible outputs (y-values) from the function.

Find the domain and the range of the function shown in the graph.

Learn how to find the domain and range of a function from a graph. In this example, time (days) is the input variable and length of the road (kilometers) is the output. The domain is 0 ≤ x ≤ 60 and the range is 60 ≤ y ≤ 240. Suitable for students in Grades 7-9.

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