Given the function f(x) = 8x (x²-4)2 with the first and second derivatives f'(x) = - x²-4 (a) Find the domain of the function. Provide your answer as interval notation (b) Find the vertical asymptotes and horizontal asymptotes (make sure you take limits to get full credit) (c) Find the critical points of f, if any and identify the function behavior. (d) Find where the curve is increasing and where it is decreasing. Provide your answers as interval notation (e) Determine the concavity and find the points of inflection, if any. (f) Sketch the graph