Question

The height, h, of a ball that is tossed into the air is a function of the time, t, it is in the air. The height in feet fort seconds is given by the function h(t) = -16t^2 + 96t What is the domain of the function? a) [0,00) b) (-0,co) Oc) (0,co) d) (0,5) e) none

Answer 1

`[0,\infty)`

Explanation:

We have been given that the height, h, of a ball that is tossed into the air is a function of the time, t, it is in the air. The height in feet fort seconds is given by the function
`h(t)=-16t^2+96t`.

We are told that the height of the ball is function of time, which means time is independent variable.

We know that the domain of a function is all real values of independent variable for which function is defined.

We know that time cannot be negative, therefore, the domain of our given function would be all values of t greater than or equal to 0 that is
`[0,\infty)`.