Question

A ball is dropped from the top of a building that is 1,000 feet high. Its height, in feet, as a function of the time, x, in seconds, after the ball was dropped, is given by the following equation, ƒ(x) = 1,000 - 16x 2. Which set of numbers is appropriate as the domain for this function?

Answer 1

Real numbers from 0 to sqrt(1000/16) = 0 to 2.5sqrt(10).

Before 0, it hadn't been dropped. After 2.5sqrt(10), it has hit the ground and stopped falling.Positive Real Numbers. This includes fractions of seconds, the other two don't.