https://file.aiquickdraw.com/mathbot/file/1726490659943erb21zju.jpg

From the image you uploaded, the question asks for the domain and range of the function shown in the graph, which models the depth of a toy submarine as it ascends after being released underwater.

### Analyzing the Graph:
1. **Domain (t, time in seconds):** The graph shows time starting from \( t = 0 \) seconds, and goes up to \( t = 8 \) seconds, where the submarine is being tracked as it rises. So, the **domain** is the interval:
   \[
   \boxed{[0, 8]}
   \]
   
2. **Range (d, depth in meters):** The depth \( d \) starts at \( d = -8 \) meters (the deepest point) and rises up to \( d = 0 \) meters at the water surface. Therefore, the **range** is:
   \[
   \boxed{[-8, 0]}
   \]

### Correct Answer:
- **Domain:** \( [0, 8] \)
- **Range:** \( [-8, 0] \)

It seems the previous answer mistakenly included values outside this range or domain, which led to the incorrect attempt.

Would you like more detailed steps on graph analysis or have further questions?

Here are some related questions to deepen your understanding:
1. How do you determine the domain from a graph?
2. Why does the range start from the lowest value of depth?
3. How can you interpret negative values in the context of depth?
4. What real-life factors could affect the rate at which the submarine ascends?
5. What would happen to the domain and range if the submarine's ascent was slower?

**Tip:** Always check the axes labels and units carefully when analyzing graphs, as they provide key insights into the domain and range!

Suppose that you are holding your toy submarine under the water. You release it and it begins to ascend. The graph models the depth of the submarine. What is the domain and range of the function in the graph?

Explore how to determine the domain and range of a function that models the depth of a toy submarine as it ascends from underwater. The graph shows the submarine rising over time, helping students understand domain and range in the context of a real-world scenario.

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