Question

50 POINTS. A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t)= -16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. What domain makes sense for this function

Answer 1

The domain that makes sense for this function is all values greater than or equal to 0.

Explanation:

A ball is thrown into the air from a height of 4 feet at time t = 0. It is modeled by the function:

`h(t)=-16t^2+64t+4`

The domain of the function is time t. The range of the function is the ball's height in the air h.

Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.

Therefore, the domain that makes sense for this function is all values greater than or equal to 0.

In interval notation, this is:

`[0, \infty)`

And as an inequality:

`t\geq 0`