Answer the following and each step, show all work and steps please

6. Given the curve f (x) = 8x'-1 , and its derivatives f' (x) =- 27x 2 -27x (2x' -1) 2x +2 f " (x ) = 2 (x3 + 1 ) (x3 +1) a) Determine the x and y intercept(s). [1] b) Determine the vertical asymptote(s) and evaluate the sided limits near the asymptote(s), if needed. [1] c) Determine the end behaviour of the function (i.e. determine if the function approaches a horizontal or linear oblique asymptote, and find the equation of that asymptote). Does the function approach this asymptote from above or below as x -> too ? [2] d) Determine the interval(s) where f (x) is increasing and decreasing, and determine the local maximum/minimum point(s) on the graph (exact values only for x-values). [4]