The baseball team pitcher was asked to participate in a demonstration for his math class. He took a baseball to the edge of the roof 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)=16t^2+64t+80
Where h(t) represents the height of the ball in feet after t seconds.

1. By looking at the equation, how can you determine whether the function has a maximum or a minimum value? (1 point)
2. Find the maximum or minimum value of the function algebraically. After how many seconds did the ball reach this value? Show how you found your answers. (2 points)
3. Evaluate h(0). Explain this value in the context of the problem. (1 point)
4. How long is the ball in the air? Justify your answer. (2 points)
5. State the domain of the function in interval notation, and explain the restrictions on the domain based on the context of the problem. (2 points)

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