MATH 2412 Precalculus

North Lake College

David Katz, instructor

Section by Section List of Test Topics For Exam #2 (Chapter 4)

The exam will consist of 10 multiple-choice questions from this list of 20 topics from your homework sections.

1. (4-1) Given the graph of an exponential function, determine a formula for its graph

2. (4-1) State the domain, range, and asymptote of an exponential function

3. (4-1) Use transformations to quickly sketch a graph of an exponential function

4. (4-1) Evaluate an exponential function in an applied problem situation
5. (4-2) Express a logarithmic equation in an equivalent exponential equation, and vice versa
6. (4-2) Evaluate simple logarithmic expressions without using a calculator
7. (4-2) Solve simple logarithmic equations using the definition of logarithms
8. (4-2) Given the graph of a logarithmic function, determine a formula for the function
9. (4-2) State the domain, range, and asymptote of a logarithmic function
10. (4-3) Use laws of logarithms to re-write a long logarithmic expression as a single logarithm
11. (4-3) Use laws of logarithms to quickly evaluate logarithm expressions
12. (4-3) Evaluate logarithm expressions of base other than e or 10 using the change-of-base formula
13. (4-4) Use logarithms to solve exponential equations
14. (4-4) Use logarithms to solve exponential equations in quadratic form
15. (4-4) Use laws of logarithms to solve logarithmic equations
16. (4-4) Use logarithms to solve compound or continuous interest problem
17. (4-4) Determine the effective interest rate, also known as annual percentage yield (APY).
18. (4-5) Create an exponential model to represent a animal or bacteria growth problems
19. (4-5) Know how to use exponential functions and logarithms to solve radioactive decay problems
20. (4-5) Solve problems using logarithmic scales (e.g., decibel, Richter, pH, etc.)

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