Question

The function mc023-1.jpg is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the time in seconds. What are the domain and range of the function h(t)? Round values to the nearest hundredth.

mc023-2.jpg

domain: [0, 3.85]
range: [0, 18.05]
domain: mc023-3.jpg
range: [1.9,18.05]
domain: [0, 3.85]
range: [1.9,18.05]
domain: mc023-4.jpg
range: [0, 18.05]

Answer 1

Domain: [0, 3.85] (time from launch until it returns to the ground)
Range: [0, 18.05] (height from ground up to the maximum ≈ 18.05 m)

Explanation: t starts at 0 (launch) and ends when h(t)=0 again at ≈3.85 s. The minimum height on that interval is 0 and the maximum (vertex) is ≈18.05 m.