Answer questions 15 and 16 please

15. Sketch y = f(x). Properties are: Max at P(2, 2) Mins at Q(4, -1), R(-1, 2). Oblique asymptote y = x - 1. x- -00 lim f(x) = 0-, lim_f(x) =-co, x - - 3+ lim, f(x) = co, lim f(x) = co , x-+0 lim f(x) = -co, lim f(x) = 0o x-+ 0+ X -+00 x # -3, and x # 0. Draw asymptotes. At co, the curve approaches the oblique asymptote from below it. Part D - Application. Show full solutions for full marks. [20 marks] 16. The park across the street is to be treated to control the grub population. After t days of treatment the number of grubs is given by G(t) = =t3 - 3t2 + 5t + 11, where G is measured in thousands and t is measured in days after treatment. Determine the lowest number of grubs in the first week and state the day that this occurs. Prove it is the lowest. [6 marks]