Height (meters) The figure above is the graph of a function of x, which models the height of a skateboard ramp. The function meets the following requirements. (i) At X = 0, the value of the function is O, and the slope of the graph of the function is O. (ii) At x = 4, the value of the function is 1, and the slope of the graph of the function is 1. (iii) Between x = 0 and x = 4, the function is increasing. (a) Let f (x) = ax, where a is a nonzero constant. Show that it is not possible to find a value for a so that f meets requirement (ii) above. (b) Let g (x) = cx' - , where C is a nonzero constant. Find the value of C so that g meets requirement (ii) above. Show the work that leads to your answer. (c) Using the function g and your value of C from part (b), show that g does not meet requirement (iii) above. (d) Let h (x) = , where k is a nonzero constant and n is a positive integer. Find the values of K and 72 so that / meets requirement (ii) above. Show that h also meets requirements (i) and (iii) above