1. Consider a graph of f(x) = x3 - 12x +1 shown below.
![1773_Find the slope and equation.png](https://secure.tutorsglobe.com/CMSImages/1773_Find%20the%20slope%20and%20equation.png)
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
![1915_Find the slope and equation1.png](https://secure.tutorsglobe.com/CMSImages/1915_Find%20the%20slope%20and%20equation1.png)
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
![948_Find the slope and equation2.png](https://secure.tutorsglobe.com/CMSImages/948_Find%20the%20slope%20and%20equation2.png)
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 15o.
![166_Find the slope and equation3.png](https://secure.tutorsglobe.com/CMSImages/166_Find%20the%20slope%20and%20equation3.png)
5. Recall that a graph of y = sin x is
![1912_Find the slope and equation4.png](https://secure.tutorsglobe.com/CMSImages/1912_Find%20the%20slope%20and%20equation4.png)
Find all the values of x in the interval [0, 4Π] which satisfy the equation