the function h(t)=-16t^2+98t represents the height, in feet, of a kicked soccer ball as a function of time, in seconds.
A reasonable domain of the function is
and a reasonable range of the function is
A reasonable domain of the function is all real numbers, because time can be any non-negative value. The function makes sense for both positive and negative values of t, representing time before and after the ball was kicked.
A reasonable range of the function is [0, ∞), meaning the height of the ball is non-negative and can be as high as infinity. The lowest possible height is 0, which occurs at the times when the ball hits the ground.