6x22 Complete the following analysis for the function f (x) = x3 Note that the rst and second derivatives have already been calculated for yo: 6x2 + 6 H 12x4 24 . f (x) = 5 x4 x f'(x) = a) Determine the equations of all asymptotes. b) Calculate the x- and y-interoepts. c) Calculate and classify any critical points and any points of inection. Exam the concavity of the function. d) Use your analysis from above to sketch the graph of the function. .- . . | . . .. 4|. 1 ' l .l 486