MAC 2311      CALCULUS I          EXAM 1B                 Dr. Rapalje --  Seminole State College of Florida

Show all work on separate paper.  Turn in ALL worksheets.   Give all irrational answers in exact (radical) form.   When you use the calculator, say so, and explain what you did.

       1.      Graph . From this graph, sketch

                 a) + 2;                         b) ;

                 c) ;                             d) .

       2.       Test for symmetry (x axis, y axis, and origin) and give the x and y intercepts:

                         .

       3.       Find the equation of the line joining the points of intersection of

                               and     

       4.       Find the domain and range for .

                 [Hint: Use a graphing calculator to find the range!]

       5.       Find the domain and range for .

       6.       If , find f (g(x)) and g(f(x)).

       7.       Graph:           

      8.        Given:           

                 a)           b)        c) 

                 d)    Is this graph continuous? Explain your answer.

       9.      Given:          

                 a)            b)        c) 

                 d)    Is this graph continuous? Explain your answer.

     10.       Find .                          11.    Find .

     12.       Find .                 13.    Find .

     14.       Find .

     15.       Given:     

                 a)          b)        c)       d)   Sketch the graph.

 

     16.       For ,  find   a) ;    b) .

     17.       For what value(s) of c will the function

                 be continuous?

     18.       Give all values for which the function is discontinuous. Distinguish whether points of discontinuity are removable or non-removable discontinuities.

 

               

     19.       Use the function to explain the difference between removable and

                                  non-removable discontinuities. Find all vertical asymptotes.  Sketch the graph.

                

     20.      If , a=2, and є = .02, find L, and find δ such that |f(x) – L| < є for every x where 0 < |x – a| < δ.

 

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        NOTE:  Page 2 of this solutions sheet is temporarily misplaced (as of March 24, 2008)!  I'll try to have it soon.  Send me an Email if March goes by and I forget to post this page!

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Dr. Robert J. Rapalje Altamonte Springs Campus
Contact me at:   rapaljer@seminolestate.edu
Phone number:  NONE Retired!!
OFFICE:          NONE  
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