Consider the curve given by the function f(:1}) with a: 75 :6. You are given that 12 (2:2 + 43: + 12) f'mz and Woz. (l l) (m6)(:n+6) Compile the following information about m) and its graph. Show your work tojustify your answers to parts (b) and (e). Otherwise, fill in the blanks and nojustification is necessary. Answer "NONE" if the function does not display a feature listed. [1 point] (a) Critical number(s) off [4 points] (b) Find the open interval(s) where f is increasing and the open interval(s) where f is decreasing. Show your work to justify. [1 point] (c) :13 coordinate(s) of all local minimum(s) off [1 point] (d) 3: coordinate(s) of all local maximum{s) off [4 points] (1:) Find the open intervals where f is concave up and the open intervals where f is concave down. Show your work to justify. [1 point] (I) :1: coordinate(s) of all inflection point(s)