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1) What is the meaning and purpose of the axis of a quadratic function? 2) Solve the inequalities

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1) What is the meaning and purpose of the axis of a quadratic function?

2) Solve the inequalities. State the solution set using interval notation for:
(x - 4) / (x + 3) < 0
and then for:
(x - 4) / (x + 3) > 0

What do you get when uniting the two sets of solutions?

3) The surface area A, of a cylinder with height h, and radius r, is given by the equation A = 2prh + 2pr^2. Find the radius of a cylinder with height 2 cm and area 4p cm2.

4) An arrow is shot straight upward with a velocity of 96 feet per second at instant t0 = 0; its altitude is defined in time by the following function:
f(t) = -16t² + 96t + 6.
From what altitude is it shot? For how many seconds is this arrow more than 86 feet high?