Question

Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function h(t)=-16t+24t, where t represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?

Answer 1

The appropriate domain for this situation is all non-negative real numbers or the interval [0, ∞).

Step-by-step explanation:

The appropriate domain for this situation can be determined by considering the values that the independent variable, t, can take in the given function. In this case, the function is h(t) = -16t^2 + 24t, where t represents the time since the ball was thrown.

Since time cannot be negative in this context, the domain of the function is t ≥ 0. This means that the appropriate domain for this situation is all non-negative real numbers or the interval [0, ∞).