#2 Let f (x) = e x-1 + 3. Answers can be stated without additional work/explanation. (a) Which describes how the graph of f can be obtained from the graph of y = ex ? Choice: ________ A. B. C. D. Shift the graph of y = ex to the left by 1 unit and up by 3 units. Shift the graph of y = ex to the right by 1 unit and up by 3 units. Reflect the graph of y = ex across the x-axis and shift up by 3 units. Reflect the graph of y = ex across the y-axis and shift up by 3 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) Sketch the graph of f . 11. Compound Interest Suppose $12,500 is invested in an account which offers 3.25% interest compounded quarterly (4 times a year). (a) Express the amount A in the account as a function of the term of the investment t in years. (b) How much would be in the account in 7 years (assuming non deposits or withdrawals are made)? (c) How long will it take for the initial investment to double (round the nearest tenth of a year)? #12 Let f (x) = x2 - 5 and g(x) = 2x + 3 (a) Find the composite function ( f o g )( x ) and simplify the results. Show work. (b) Find ( f o g )(2 ) . Show work