The vertex is (1,16). Hence, the maximum h-value is 16.
c
To determine the domain and range, let's look at graph of the rocket's behavior.
Here, than range is the set of all the potential h-values. Notice that the graph goes no higher than h=16 and no lower than h=0. Therefore, the range is all real numbers between these two values, inclusively.
Range: {h | 0 ≤ h ≤ 16 }
It does not make sense for the rocket to go above it's maximum height h=16 or below ground level h=0. Similarly, we can think about the limits on the domain since t is measuring time. Note the events that occur at the following times.
t=0 andt=2
The given function models the path of the launched rocket from launch t=0 to landing t=2 making these the endpoints of the domain, inclusively.
Domain: & { t | 0 ≤ t ≤ 2 }
