Finding the Range of a Function, Algebraically

While on top of a building, Amelia throws a bouncy ball upward. The ball lands back on the roof of the same building. The building she's is standing on is $30$ feet off the ground. The ball bounces $4$ feet higher than the roof of the building at a time of $\frac{1}{2}$ seconds. This is the max height of the ball. If $h(t)=-16t^{2}+16t+30$ is the function that describes the height of the ball, what is the possible range of the function?