Extra Credit Problems
First Six Weeks

Instructions:
  1.  Problems may be submitted any time during the six weeks, but they MUST be turned by the due date.
        (Due Date:  September 17, 2007)
  2.  Your work must accompany each problem and the problem must be stated or printed out.
        No credit will be given for just an answer.
  3.  Parts of problems are worth anywhere from 1 - 3 points depending on level of difficulty.
       Credit is given only for correct work and answers. The whole part must be correct to
       receive credit.
  4.  You may do as many or as few problems as you desire. Try to keep them in order.

Problems:
1.  Solve:  |2x - 1| - |x + 3| < |-3 + x| - 4
 

2.  Solve:  2x - 1   >  x + 4   -   6
                 x + 2         x - 5

3.  Solve for x:  |2x - 1| - |x + 3| > |3x +1| - 10
 

4.  Solve for x:  (4x - 1)2(x - 3)  <  (x + 2)
                         (x + 3)(x - 1)         (x - 1)
 

5.  PQRS is a rectangle with vertices P(-4,-1) and Q(-6,5) and PQ = 2(QR).  Find the
     coordinates of R and S.
    (Problem taken from Advanced Mathematics by Richard Brown)

6.  Given f(x) = 1/ x2 and g(x) = \/(25 - x2), find the domain of f(g(x)).

7.  Sketch the graph of y = |x4 - 6x3 + 8x2| without the aid of a calculator.  Explain your
     reasoning.
     (Problem taken from Advanced Mathematics by Richard Brown)

8.  If f is a linear function such that f(x + 2) - f(x) = 6, find the value of f -1(x + 2) - f -1(x).
     (Problem taken from Advanced Mathematics by Richard Brown)