Please do D-G
You will find the equation of an exponential function through two points in two different ways.

A. Find the exponential function of the form Y= ae^kx that goes through the points (0, 4) and (2, 9). Show all your steps and use four decimal places. Write a complete answer.

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.

C. Extend the table by entering into Y2. Provide a printout of this extended table. Label the columns x, y, and ln(y).

D. Do the ordered pairs (x, ln(y)) form a linear or exponential function? Justify your answer.

E. Find a possible formula for ln(y) as a function of x, using the value from the table in part c. Show your work.

F. Solve your formula for y.

G. Write your answer in the form y=ae^kx showing all steps and compare your answer to part a