1) Sketch an accurate
graph of G(X) = -(1/3) log_4(2 - X) - 2.
a) What is the domain of F(X)?
b) What is the equation of the vertical asymptote?
c) Where is the function increasing or decreasing?
2) Let F(x) = log_4(X). Explain
how the graph of G(X) = -(1/3) log_4(2 - X) - 2 can be obtained from the graph of F(X) through a series of transformations.
3) A $3000 investment earns interest at the annual rate of 8.5% compounded monthly. Find the total amount of the investment after five years have passed (assuming no additional deposits or withdrawals) and find the amount of interest earned.