The function below is the function of an initial public offering, or IPO. This is a brand new stock. In this model, the period immediately after the stock is issued offers excess returns on the stock - that is, the stock is selling for more than it is really worth. One such model for a class of IPOs predicts the percent overvaluation of a stock as a function of time as: R(t)= (1 + 2)²-(-2)-(-4) 100 Where R(t) is the overvaluation in percent and t is the time in months after the initial issue. a. Use the information provided by the first derivative, second derivative, and the asymptotes to prepare advice for clients as to when they should expect a signal to prepare to buy or sell (inflection point), the exact time when they should buy or sell (local maximum/minimum), and any false signals prior to a horizontal asymptote. Explain your reasoning. b. Make a sketch of the function without using your graphing calculator.