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1.       (5 pts)  Determine whether the given function is linear or nonlinear.  If it is linear, determine the slope.

x

y = f (x)

-2

1

-1

3

0

5

1

7

2

9

 

2.      Let  in the following:

a.       (5 pts)  Determine the slope and y-intercept of f.



b.      (5 pts)  Use the slope and y-intercept to graph f here:




 

 

 

 

 

 




c.       (5 pts)  Determine the average rate of change of f.


d.      (5 pts)  Is f  increasing, decreasing or constant?


 

 

 

3.      (5 pts)  The velocity v of a falling object on the moon is directly proportional to the time t of the fall.  If, after 2 seconds, the velocity of the object is 8 feet per second, what will its velocity be after 3 seconds? .

 

 

 

 

 

 

 

 

4.      Let  .

 

a.       (5 pts)  Find the zeros of   f   by factoring.

 

 

 

 

 

 

 

 

 

 

b.      (5 pts)  Find the zeros of   f   by completing the square.
 







 






c.       (5 pts)  Find the zeros of   f   by using the quadratic formula.









 

5.       

a.       (5 pts)  Find the zeros of  f(x) using the Square Root Method. 




b.      (5 pts)  What are the x-intercepts of the graph of   ?

6.      (10 pts)  Graph .  I expect to see all of the following information on (or next to) your graph.  You may use completing the square or the  method.:

                    i.            vertex

                  ii.            axis of symmetry

                iii.            y-intercept

                iv.            x-intercep(s), if any

                              v.domain

                            vi.range

                          vii.interval(s) of increase

                        viii.interval(s) of decrease

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7.      Consider the quadratic function  .

a.       (5 pts)  Compute the discriminant for  h .

 

 

 

 

 

b.      (5 pts)  Based on your answer to part a., describe the nature of the zeros of h .  In other words, state how many zeros h has, and whether they’re real or nonreal.


 

 

 

 

 

 

 

8.       (5 pts)  Solve .  Express your answer in both set-builder and interval notation.














9.      (5 pts)  Solve .  Express your answer in both set-builder and interval notation.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10.  Find the complex zeros of

 

 

 

 

 

 

 

 

 

 

11.  Without solving, determine the character of the solutions of each equation in the complex number system.

a.       (2 pts) 

 

 

 

b.      (2 pts) 

 

 

 

c.       (2 pts) 

 

 

 

 

13.  Solve each of the following absolute value equations:

a.       (2 pts) 

 

 

 

 

 

b.      (2 pts) 

 

14.  Solve each of the following absolute value inequalities.  Give your answer in set-builder and interval notation.

a.       (3 pts) 

 

 

b.      (3 pts) 

 

c.       (3 pts) 

 

d.      (3 pts)