Hi I am stuck on steps e, f,g,h. hope you can help explain. thanks

You should show all your Let f(a) - 2(al - 9) 25 - 18 1 - 4 . Answer questions (a) - (h) below. (a). Find the natural domain of /(x). Give sufficient reason, not just the answers. (b). Find the a- and y-intercepts for the graph of y - f(x). Give sufficient reason, not just the answers. (c). Find the vertical asymptote(s) to y = /(x). Use limits to explain properly. (d). Find the horizontal asymptote(s) to y = f(x). Use limits to explain properly. (e). Show that f(2) = (12 _ 4)a and that f"(2) = _20(312 + 4) (12 - 4)# (*). Do not skip details and show every step. (f). Find the interval(s) on which f(@) is increasing; decreasing. Locate any local minimum or local maximum points. Draw an appropriate table. (:). Find the intervals (s) on which f(or) is concave up; concave down. Locate any inflection points. Draw an appropriate table. (h). Using the results gathered above, sketch the graph of y - f(a). [(*). One additional bonus point will be given, if this is neatly done on a graphing paper.}