· Follow all instructions for each question. Be sure that you read carefully.
· Show all work for every problem. If there are no steps involved, explain how you arrived at the solution. Only half credit is given for problems without any work. Remember an exam is an opportunity to show your mathematical literacy.
· Write all problems in order AND do not separate answers from work. Your instructor is reading/evaluating your process as well as your answers.
· Use proper mathematical notation. Remember an exam is an opportunity to show your mathematical literacy.
· Write a statement of your findings to show your conclusions.
· Student’s first and last name at the top of the first page
· The test is submitted in a SINGLE PDF. Multiple pages are allowed, but NOT multiple files
· The Test file is named in this format: UnitTestNumber.Class.StudentName
NOTE: You must use the algebraic techniques presented in this chapter. You cannot solely use the calculator as the means to determine the results of the questions on this test.
1. Graph the function and its inverse using the same set of axes. Use any method.
2. Graph the function:
a. Label three points on the graph
b. State the equation of the asymptotes
c. State the domain and range
3. Given the function:
a. State the domain
b. State the equation of the asymptotes
4. Express in terms of sums and differences of logarithms.
5. Solve the exponential equation:
6. Solve the exponential equation
a. State the exact solution.
b. State the approximate solution to three decimal places.
7. Solve the logarithmic equation:
a. State the exact solution.
b. State the approximate solution to three decimal places.
8. Solve the logarithmic equation.
a. State the exact solution.
b. State the approximate solution to three decimal places.
9. Solve the logarithmic equation.
a. State the exact solution.
b. State the approximate solution to three decimal places.
10. Solve the exponential equation:
a. State the exact solution.
b. State the approximate solution to three decimal places.
11. How long will it take for $7000 to grow to $25,200 at an interest rate of 10% if the interest is compounded quarterly ? Round the number of years to the nearest hundredth.
12. An element decays at the rate of , where is time in years and is the initial size in grams. If you have a 58-gram piece of this element, how many grams will you have 3 years from now? Round your answer to the nearest tenth of a gram.
13. The loudness, , in decibels of a sound of intensity is given by where is measured in watts per square meters and watts per square meters. What is the decibel level of a noise whose intensity is watts per square meters? (Round to the nearest whole number.)
14. A sample of 800 grams of radioactive substance decays according to the function , where is the time in years. How much of the substance will be left in the sample after 20 years? Round to the nearest whole gram.
