Which of the following is true about the graph off(x) = 6x3-12x2 6x 4? 1 44 a) Of(x) has a local minimum at the point b) Of(x) has a local maximum at the point (1,4) e) Of(a) is decreasing on the interval ,1 d) f(x) is increasing on the interval e) Of(x) has a point of inflection at the point (1, 4).

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A: The graph is shown below:

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