1. Consider a graph of f(x) = x³ - 12x +1 shown below.

a) Find the slope and equation of the line joining A and B.
b) Find the slope and equation of the line joining A and C.
c) Find the y-coordinate of the point P with x-coordinate equal to 0.5 (x=0.5.)
d) Find the slope and equation of the line joining A and P.
2. Consider the function defined by

Find

f(-2)

f(-1)

f(0)

f(1-h)      0< h< 1

f(1+ k)       k > 0

3. Recall the greatest integer function [x], which states that

Find

[Π]

[cos Π]

4. An observer is standing 200 meters from the point G, at which, a balloon is vertically released. Find the height of the balloon at the time the angle of elevation is 15^o.

5. Recall that a graph of y = sin x is

Find all the values of x in the interval [0, 4Π] which satisfy the equation