College Algebra MATH 1314/1414

David Katz, instructor

Section by Section List of Test Topics for Exam #3 (Chapter 4) from College Algebra by Robert Blitzer (4^th edition)

The exam will consist of 10 multiple-choice questions from this list of topics from your homework sections.

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Note on Formulas: You will be expected to know by memory the properties of exponents (p.24), the properties of logarithms (p.428), and the definition of logarithms (p.412) for your exam. I will supply you on the exam with the formulas for exponential growth/decay and compound interest

1. (4.1) Classify a function as exponential or non-exponential
2. (4.1) Identify the domain and range of an exponential function
3. (4.1) Identify the horizontal asymptote and y-intercept of an exponential function’s graph
4. (4.1) Graph an exponential function
5. (4.1) Be able to locate base e on your graphing calculator
6. (4.1) Solve applied problems with compound interest
7. (4.2) Know the definition of logarithms
8. (4.2) Evaluate logarithm functions
9. (4.2) Convert logarithms to exponential form and vice versa
10. (4.2) Identify the domain and range of logarithm functions
11. (4-2) Identify the vertical asymptote and x-intercept of a logarithm function’s graph
12. (4.2) Know the difference between common logarithms and natural logarithms
13. (4.2) Graph a logarithm function
14. (4.3) Simplify expressions with many logarithms into a single logarithm using the product, quotient, and/or power rules of logarithms
15. (4.4) Solve exponential equations with like-bases
16. (4.4) Solve exponential equations by taking the logarithm of each side of the equation
17. (4.4) Solve logarithm equations by re-writing the logarithm as an exponential equation
18. (4.4) Know when to use the product, quotient, and/or power rules to solve longer logarithm equations
19. (4.4) Solve applied problems: pH level, Richter scale, decibels, etc.
20. (4.5) Solve applied problems: exponential growth and decay

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