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1.      (10 pts)  Determine whether the equation  defines y as a function of x.  If it does not, show/explain why not.

 

 

 

 

 

 

 

 

2.      (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

 

3.      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 is increasing, decreasing or constant?


4.      (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? .

 

5.      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.









 

6.       

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   ?






7.      (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


 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8.      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.


 

 

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














10.  (5 pts)  Solve .  Express your answer in both set-builder and interval notation.