5. a) Sketch the graph of f(x) which satisfies all of the following conditions. [6 marks] 3 i) _lim_ f(x) = lim f(x) = 1 ii) f(0) = 3, f(-) = 3, (1) = ,(-4) = 2 X iii) '(-) = 0, '(1) = 0 v) f'(x) > 0 for x < 5 iv) f'(x) < 0 for- < x < -1 and -1 3 2 and f'(x) > 0 for 1