Ascience class designed a container to protect an egg. each prototype is launched from a machine at 9.4 meters per second from a roof 40 meters tall. the function f(t) = –4.9t2 + 9.4t + 40 represents the path from the building to the ground on the t-axis, where t is the amount of time since the launch.

how do the mathematical range and reasonable range compare?

mathematical: y ≤ 52
reasonable: y ≥ 0
mathematical: y ≤ 52
reasonable: y ≥ 40
mathematical: y ≤ 52
reasonable: 0 ≤ y ≤ 52
mathematical: y ≤ 52
reasonable: 40 ≤ y ≤ 52