1. Sketch this function. Include all eight steps described in the videos and the notes. (12) f(x) = 2x-+ 2x - 12 2. Assume that f. g. and h are all continuous function on R with f(x) 0. (12) p(t) = eww (5000 + 30 sin(2xt)) a. What is the starting population? b. What is the long term behaviour of the population? c. How many critical points are there and when, roughly, do they occur. (The calculation of the critical points is very difficult to do direction; I don't expect you to finish the calculation. Instead, start the calculation and make a conclusion simply about how often you will find a critical point and, very roughly, how they are spaced relatve to each other.) d. Qualitatively describe the year-to-year behaviour of the model. e. Is this a reasonable population model? Why or why not