MODERATE EXERCISES-Graphical Methods for Solving Inequalities

(1) For each of the following functions f(x), find the intervals on which: (i) f(x) > 0; and (ii) f(x) < 0. (Note: for some questions, there may be no such interval.) 

 (a) f(x) = (2x - 3)(x + 3)(x + 1)

 (b) f(x) = x(x - 5)(x + 3)

 (c) f(x) = 2/3x(x - 4)2

 (d) f(x) = (x - 2)(x2 + 6x + 8)

 (e) f(x) = 2x2(2x - 4)

 (f) f(x) = x/5(1 - x2)
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