A potato was launched in the air using a potato gun. The function for the situation was h(t) = -16t2 + 100t + 10, where t was the time in seconds and h(t) was the height in feet. (3 points each)

a. What was the maximum height of the potato?

b. What was the lowest height of the potato?

c. What was the lowest time that applies to the actual situation?

d. What is the greatest time that applied to the actual situation?

e. Using your answers to parts a through d, what are the domain and range of the function, as they apply to this situation? Use set builder notation.