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QUESTION 6 Given a function f (x) = 4x3 - 3x2. a) Find x-intercept and y-intercept. (2 marks) b) Determine the interval(s) where f is increasing or decreasing given the critical points are at x = 0, y= 0 and x= 1/2, y = -1/4.. (3 marks) c) Determine the interval(x) where f is convave up or concave down given the inflection point is (1/4, -1/8). (3 marks) d) Sketch the graph. (2 marks)

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