The baseball team pitcher was asked to participate in a demonstration for his math class. He took a baseball to the edge of the root of the school building and threw it up into the air at a slight angle so that
the ball eventually fell all the way to the ground. The class determined that the motion of the ball from
the time it was thrown could be modeled closely by the function
h(t) =-161? + 64t + 80,
where h represents the height of the ball in feet aftert seconds.
a. Determine whether the function has a maximum value or a minimum value. Explain your answer
mathematically
B. Find the maximum or minimum value of the function. After how many seconds did the ball reach
this value? Show how you found your answers.
C. For what interval of the domain is the function increasing (i. e., ball going up)? For what interval of
the domain is the function decreasing (i. e., ball going down)? Explain how you know.
D. Evaluate h(0). What does this value tell you? Explain in the context of the problem.