1. A ball is thrown upward from a 352 ft cliff at a speed of 144 ft/s. The ball's height can be modeled by the equation H(t)= -16t²+144t+352

a) At what time will it take for the ball to reach its maximum height? (include units)

b) What is the maximum height of the ball? (include units)

c) When will the ball reach the ground below? (include units)

2.. Given f(x)= (3x+5)³(x²+4)(x-3)²(4x-7)

Find the following: a) the degree of the function.

b) the end behavior of the function.

c) All the zeros of the of the function. (separated by a comma, list answers from smallest to largest and any imaginary numbers last) (Answer should look like: -1, 1, -i, i)

d) The multiplicity of each zero in the order listed in part c. (separated by a comma)

3.. Given f(x)= 3(x+5)(x-5)³x⁵

Find the following: a) the degree of the function.

b) the end behavior of the function.

c) All the zeros of the of the function. (separated by a comma, list answers from smallest to largest and any imaginary numbers last) (Answer should look like: -1, 1, -i, i)

d) The multiplicity of each zero in the order listed in part c. (separated by a comma)

4.. Use the intermediate Value Theorem to show f(x)= -x³ +2x²+13x-26 has a zero in the interval (-4,-3)

5.. Given h(x) = 6x⁴+7x³-37x²-8x+12

a. Fina all possible zeros

b. Find all actual zeros

c. Write h(x) as a product of linear factors