09 (12 points) Consider the curve given by the function f(x) with x 75 :9. You are given that 2 -3 (x + 3) and fm = 12 (x + 6x + 27) f (x) = (x 9)3(x + 9:)2 (x 90% + 9? ' Compile the following information about x) and its graph. Show your work to justify your answers to parts (b) and (e). Otherwise, fill in the blanks and no justification is necessary. Answer "NONE" if the function does not display a feature listed. [1 point] (a) Critical number(s) of f [4 points] "3) Find the open interval(s) where f is increasing and the open intervaljs) where f is decreasing. Show your work to justify. [1 point] (0) x coordinatels) of all local minimumfs} of f [1 point] (d) x coordinate(s) of all local maximums} of f [4 points] (e) Find the open intervals where f is concave up and the open intervals where f is concave down. Show your work to justify. A