The graph shows a line segment with time ($t$) on the horizontal axis and depth ($d$) on the vertical axis. To determine the domain and range of this function, we observe the start and endpoints of the graph.

Domain:

The domain refers to all possible $t$-values (time) for which the function is defined. From the graph:

• The graph starts at $t = 2$ and ends at $t = 5$.
• Therefore, the domain is: $\text{Domain: } [2, 5]$

Range:

The range refers to all possible $d$-values (depth) the function takes. From the graph:

• The depth starts at $d = -6$ and increases to $d = -3$.
• Therefore, the range is: $\text{Range: } [-6, -3]$

Would you like a further breakdown of this problem?

Relative Questions:

1. How do you define the domain and range of more complex functions?
2. Can you determine the slope of the line segment in the graph?
3. How can you check if this graph represents a function using the vertical line test?
4. What happens to the domain and range if the graph is extended in both directions?
5. How do piecewise-defined functions affect the domain and range?

Tip: Always check the endpoints of the graph carefully to accurately determine the domain and range.