1. (a) The figure below includes the graphs of the following functions: fi(x) = 23, f(x) = 5". f(x) = ()".no) = () Mark the graphs on the figure and describe the process that enables you to make the decision. (b) The figure below shows the graph of an exponential function of the form f (x) = a . b* +c, where a, b, care real numbers with b > 1. The graph goes through the points (1,0) and (0, -1/2), and has a horizontal asymptote at y = -2. Find f (x).(c) You have $10,000 to invest for 5 years and you are given the following choices: 3%% interest compounded continuously, 3.02%% interest compounded quarterly, and 3.05% interest compounded annually. Which choice will yield the greater return? Clearly explain your answer. (d) In 1626, Peter Minuit convinced the Wappinger Indians to sell him Manhattan Island for $24. If the Native Americans had put the $24 into a bank account paying 5%% interest compounded monthly, how much would the investment be worth in 2020