Question

A penny drops from a building 45 feet above the ground. The function h(t) = −16t2 + 45 gives the height of the penny in feet after t seconds. Based on the problem situation, what are the domain and range of h(t)? What is the domain and range of the inverse of h(t)?

What does the inverse function represent in terms of the problem situation?

Answer 1

Explanation:

When the penny reaches the ground h = 0, so

−16t2 + 45 = 0

t^2 = 45/16

t = √(45/16)

= 1.667 seconds.

So the domain of h(t) is [0, 1.667]

and the range is (0, 45).

For its inverse we have

Domain = [0, 45)

and the range = [0, 1.667].