In each of Problems below a graph of f (x) is given. Use the graph to determine the critical values of f (x), where f (x) is increasing, where it is decreasing, and where it has relative maxima, relative minima, and horizontal points of inflection. In each case sketch a possible graph for f (x) that passes through (0, 0).

1.f'(x) = x2 - x - 2

2.f'(x) =4x - x2

3.f'(x) = x3 - 3x2

4.f'(x) = x(x - 2)2

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f'(x) 10 2 3 4 -4-3-2 -2 -4 + 6. f'(x) 10 4