Question: Thinking (14 marks) 1. Complete the following analysis for the function f (x) = x--2 x3 Note that the first and second derivatives have already

Thinking (14 marks) 1. Complete the following analysis for the function f (x) = x--2 x3 Note that the first and second derivatives

have already been calculated for you! f' (x ) = - -6x2

Thinking (14 marks) 1. Complete the following analysis for the function f (x) = x--2 x3 Note that the first and second derivatives have already been calculated for you! f' (x ) = - -6x2 + 6 f " ( x ) = 12x4 - 24 a) Determine the equations of all asymptotes. b) Calculate the x- and y-intercepts.c) Calculate and classify any critical points and any points of inflection. Examine the concavity of the function. d) Use your analysis from above to sketch the graph of the function

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