, list all the zeros (both real and complex) and their multiplicities. 46.Use the following graph to write a formula for the polynomial ()fx. 47.Identify which of the following graphs represents a one-to-one function. a) b) c) d)

Final Exam Review Packet MTH103 – Fall 2018P a g e 9 | 11 48.Consider a one-to-one function, f, defined as () () () () (){}2,4 .1,5 , 0,3 , 1,2 , 2,1f=−−−. Evaluate ( )12f−.
49.
Consider ()2fxx=and ()g xx=. Are fand gan inverse pair of functions? Justify.
50.For each one-to-one function, determine its inverse.
xh xx+=−
51.Suppose ( )tftAek=. The graph of this function is shown below. Determine the correct values for A and k.52.An investment account has an initial value of $10,000. It earns interest at an annual rate of 4% compounded quarterly. Determine the value in the account after 8.5 years.
53.
Julio purchases a $5,000 CD for his daughter on the day she is born that earns interest at an annual rate of 1.2% compounded monthly. What will the CD be worth when she turns 18? 54.Suppose an initial investment of $1,500,000 earns interest at a rate of 3.25% compounded continuously. Determine the value of the account after 10 years. 55.Rewrite the following exponential equations into logarithmic equations. DO NOT SOLVE.
56.Rewrite the following logarithmic equations into exponential equations. DO NOT SOLVE. a) 3log 18P=b) ()ln 28x=c) ()log 412x−
=

Final Exam Review Packet MTH103 – Fall 2018P a g e 10 | 11
57.Evaluate each expression. Assume unknowns are positive real values not equal to 1.
log27
58.Given ()lnfxx=, write a function, ()g x, whose graph reflects the graph of ()yfx=across the x-axis, shifts it 3 units left and 2 units up.
59.
Expand each expression.
a) 22log3b) 423logxy zc) 2354logr sm nd) ()22r st21ln4x xx+−
60.Rewrite each expression as a single logarithm with coefficient 1.
1log2loglog2xyz−−
61.Use the change-of-base formula to write a ratio of logarithms in either base eor base 10. Then use a calculator to estimate each logarithm to 3 decimal places.
62.Solve each equation. Provide an exact solution and an approximate solution rounded to 3
decimal places.