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8. Consider the function f(x) = x4 -2x- 6x + 13 2 f'(x) = 6x36x - 12x; f (x) = 18x - 12x-12. [14

8. Consider the function f(x) = x4 -2x- 6x + 13 2 f'(x) = 6x36x - 12x; f" (x) = 18x - 12x-12. [14 marks] a) Find any x and y-intercepts of f. b) Find the intervals where the function is increasing or decreasing and the relative extrema, if any. c) Find the intervals where the function is concave upward or concave downward and the inflection points, if any.

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