1. You will find the equation of an exponential function through two points in two different ways. (points) (5) a. Find the exponential function of the form y=ae" that goes through the points (0, 4) and (2,9). Show all your steps and use four decimal places. Write a complete answer. (5) b. Use your graphing calculator to enter your exponential function into Y1 and construct an input/output table for inputs of x=-2, -1, 0, 1, 2. (5) c. Extend the table by entering In(yl) into Y2. Provide a printout of this extended table. Label the columns x, y, and In(y). (5) d. Do the ordered pairs (x, In(y)) form a linear or exponential function? Justify your answer. (5) e. Find a possible formula for In(y) as a function of x, using the value from the table in part c. Show your work. (5) f. Solve your formula for y. (5) g. Write your answer in the form y=ae showing all steps and compare your answer to part a.