ADVANCED EXERCISES-Graphical Methods for Solving Inequalities

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(1) For each of the following functions f(x), find the interval on which: (i) f(x) > 0; and (ii) f(x) < 0. (Note: for some functions, the answer to (i) or (ii) may be the empty set.)

 (a) f(x) = 1/6(x + 1)3(x - 1)

 (b) f(x) = (x - 1)2 - 4

 (c) f(x) = (x2 - 2x - 3)2

 (d) f(x) = -x2(x - 3)2

              3x
 (e) f(x) = ------
            2x - 4

            x2 - 4
 (f) f(x) = -------
              x2

               18
 (g) f(x) = ---------
            (x - 3)2

              -x
 (h) f(x) = -------
            x2 + 3

( Click On SOLUTION To See The Answers )

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