11. (16 pts) Let .
(a) Find the Domain and Range of f(x).
(b) (6 pts) Find f-1, the inverse function of f. (Show work)
(c) Give the Domain and Range of f-1.
12. (18 pts) Let . (No work required)
(a) Which describes how the graph of f can be obtained from the graph of y = ex ? Choice: ________
A. Shift the graph of y = ex to the left by 1 unit and up by 2 units.
B. Shift the graph of y = ex to the right by 1 unit and up by 2 units.
C. Reflect the graph of y = ex across the x-axis and shift up by 2 units.
D. Reflect the graph of y = ex across the y-axis and shift up by 2 units.
(b) What is the domain of f ?
(c) What is the range of f ?
(d) What is the horizontal asymptote?
(e) What is the y-intercept? State the approximation to 2 decimal places (i.e., the nearest hundredth).
(f) Draw the graph of f, using a graphing utility.
13. (7 points) Compound Interest Formula: , P = principal; r = rate as a decimal; t the number of years; n the number it compounds each year.
Suppose an amount of $10,000 is deposited at 2.6% compounded quarterly. It will grow to what amount in 6 years? (Show work and give answer to the nearest cent)
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