MODERATE EXERCISES - Graphing Rational Functions

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(1) Find all asymptotes for the given functions.

            2x2 + 3x
 (a) g(x) = ---------
            3x2 - 48

                5x4
 (b) R(x) = ------------
            2x2 + 3x - 2

                 3x
 (c) F(x) = -------------
            x4 + 2x2 + 1


           x2 + 2
 (d) H(x)= ------
           x - 1

( Click On SOLUTION To See The Answer )

(2) Graph each of the following rational functions by using the asymptotes and plotting a few other points.

           4
 (a) y = -----
         x - 2

           1
 (b) y = -----
         x + 3

          -4
 (c) y = -----
         x - 2

          -1
 (d) y = -----
         x + 3

( SOLUTION )

(3) Graph each of the following rational functions by using the intercepts and asymptotes.

           x
 (a) y = ------
         2x - 4

           3x
 (b) y = ------ 
          x - 3

         2x - 4
 (c) y = -------
            x

          1 - x
 (d) y = -------
            x

( SOLUTION )

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