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2- Consider the function f(z) = 12 + 32 (a) Find the domain of f and the r- and y-intercepts, if any. (b) Show that f'(x) = (2+4)(x -8) (x2 + 32)2 (c) Find the coordinates of any stationary points of f. (d) Construct a table of signs for f'(x). (e) Determine the intervals on which f is increasing and the intervals on which it is decreasing. (f) Determine the nature(s) of the stationary point(s). (g) Find the equations of the asymptotes of f. (h) Determine whether f is an even or odd function, or neither. (i) Sketch the graph of f. Justify your answers fully