Answer:
See solution below
Step-by-step explanation:
The ball will hit the ground at whrn t = 0
Given the height of the ball modeled by the expression
h(t) = -16t^2 + 64
0 = -16t^2 + 64
16t^2 = 64
t^2 = 64/16
t^2 = 4
t = 2sec
The ball will hit the ground 2secs after
The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}
when t = 2
h (2) = -16(2)^2 + 64
h(2) = -64+64
h(2) = 0
Hence the range are the output values i.e the height.
The range are within the range {0, ∞}