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The question asks for the domain and range of the function modeled by the graph, which shows the depth of a toy submarine as it ascends over time after being released.

- **Domain**: The domain represents the values of time \( t \). The graph starts at \( t = 1 \) and ends at \( t = 8 \). Therefore, the domain is the interval \( 1 \leq t \leq 8 \).

- **Range**: The range represents the values of depth \( d \). The depth starts at \( d = -7 \) (deepest point) and reaches \( d = -1 \) (closest to the surface). Thus, the range is \( -7 \leq d \leq -1 \).

Therefore:
- **Domain** \( D \): \( 1 \leq t \leq 8 \)
- **Range** \( R \): \( -7 \leq d \leq -1 \)

Would you like further explanation or have any additional questions?

Here are 5 related questions:
1. How do you determine the domain and range from a graph?
2. Why is the domain limited to \( 1 \leq t \leq 8 \) and not all real numbers?
3. How does the slope of the graph relate to the speed at which the submarine ascends?
4. What does the negative depth signify in the context of this graph?
5. How would the graph look if the submarine descended instead of ascending?

**Tip**: The domain relates to the independent variable (usually time), while the range relates to the dependent variable (the output, such as depth in this case).

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 as a function of time. What is the domain and range of the function in the graph?

Learn how to determine the domain and range from a graph representing the depth of a toy submarine over time. In this problem, the submarine starts at a depth of -7 and ascends to -1, with time ranging from 1 to 8 seconds.

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