Answer:
D. (0,5)
Step-by-step explanation:
We are given that,
The function f(x) represents the height of the object 'x' seconds after its launch in the air.
Also, the maximum height of the object is at 2 secs and the object hits the ground at 5 secs.
So, we get the following figure for the situation.
We have that,
Domain of the function is represented by the time after the object is launched i.e. the time when the object is in the air.
Since, the interval when the object is in the air is (0,5).
Hence, the domain of the given function should be (0,5).