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Jeopardy Game
For Calculus Review
Domain &                 Limits @    Limits of
           Limits at #                           Discontinuity
  Range                   Infinity   Piecewise


 $100       $100          $100        $100          $100

 $200       $200          $200        $200          $200

 $300       $300          $300        $300          $300

 $400       $400          $400        $400          $400

 $500       $500          $500        $500          $500
$100
$100
$200
$200
$300




       x 5
$300
$400




        x 3
        2
       x 16
$400
$500




         x
       x 2
$500
$100




       lim3x 2
       x   4
$100




       10
$200



       lim8
       x   3
$200




       8
$300



             2
         x   36
       lim
       x 6 x 6
$300




       12
$400



             x 5
        lim
       x   3 x 3
$400
$500



            x 2
       lim 2
       x  4 x 4
$500
$100




       lim3x 5
       x
$100
$200


           4
           x 4x 5
       lim    3  6
       x    5x x
$200




       0
$300


           5x 3
       lim
       x   6x 2
$300


       5
       6
$400


            4       2
           3x 5 x
       lim   2
       x   6x 7
$400
$500


                  2
             3x           5x
       lim
       x              4
             16 x          3x
$500
$100

                    x 5, if x 5
       f ( x)        2
                    x , if x 5

                lim f ( x)
                x    5
$100




       DNE
$200

                3x 2, if x    3
       g ( x)
                 x 14, if x    3


            lim g ( x)
            x    3
$200




       -11
$300

                x 4
                     ,x 2
                x 2
       h( x )
                   8
                 2
                     ,x 2
                x 4


           lim h( x)
           x    2
$300
$400

                       3, if x   2
       f ( x)       x 1, if    2 x             5
                            2
                        x       21, if x   5

            lim f ( x)
                x   5
$400




       4
$500


                     x 3
                      2
                             , if x 6
       g ( x)       x 9
                        3, if x 6


                lim g ( x)
                x    3
$500
$100
$100




       CONTINUOUS
$200




                3x 2
       f ( x)
                 x 6
$200
$300




                x 3
                    ,if x 10
       f ( x)   x 5
                x 2, if x 10
$300
$400




                    2
                x        5x 6
       f ( x)
                        x 1
$400




                    2
                x        5x 6
                              , if x 1
       g ( x)           x 1
                        7   , if x 1
$500




                 3 x 10, if x       3
                     2
       g ( x)   ax       b, if   3 x 5
                     6 x 13, if x 5
$500




       a=1


       b=-8
Simplify the following
given f(x) = 3x 2- 6



  f(x+h) - f(x)
       h

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