The function f(x) =x +8/x has derivatives f(x) =x -16/x and f(x)=48/x?(a) Determine the x- and y-intercepts.(b) Determine the equations of any asymptotes and classify

The function f(x) =x³ +8/x² has derivatives f(x) =x³ -16/x³ and f"(x)=48/x?(a) Determine the x- and y-intercepts.(b) Determine the equations of any asymptotes and classify the behaviour at their endpoints.(c) Determine the intervals of increase and decrease and classify any local extrema.(d) Determine the intervals of concavity and identify any points of inflection.(e) Complete the 2nd derivative test.(f) Use this information to sketch the curve. Make sure all key features are clearly presented.