The domain of the function H(t) is 0 ≤ t ≤ 26, so the correct option is C.
What is the domain of H(t)?
For any function f(x) we define the domain as the set of possible inputs for that function.
In this case, we have graphed the function H(t) that represents the height as a function of time, then the domain will be the possible values of t that we can use in our function.
To check that, just look at the values of t where we have the graph.
The smallest value of t is t = 0, when the rocket is launched.
The largest value of t is t = 26, when the rocket returns to the ground.
Then the domain is:
0 ≤ t ≤ 26.
Which is option C.
If you want to learn more about domains:
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