Question

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:
f(t) = -16t^2 + 44t + 12

Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

Answer 1

The correct answer would be  1.375 < t < 3  i hope this helps anyone

Answer 2

Answer:

Domain is 1.375 s to 3 s

Explanation:

It is given that, A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

$f(t)=-16t^2+44t+12$

We have to find the domain of the graph of the function when the basketball falls from its maximum height to the ground. It is shown in the attached graph.

It is clear that, the domain of the graph is from 1.375 s to 3 s. Its maximum height is 42.25 feet.

Hence, this is the required solution.