Math 116: Chapter 4 Study Guide

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1. Match the exponential function with its graph. Look at problems 4.1.23 - 4.1.30.
2. Use a graphing utility to sketch the graph of the exponential function. List any asymptotes. Look at 4.1.31 - 4.1.40, 4.1.44 - 4.1.45
3. Use a graphing utility to solve an equation involving transcendental and algebraic functions. Give the answer to three decimal places. Look at problems 4.4.39 - 4.4.50.
4. Evaluate a logarithm using the change of base formula. Look at problems 4.3.11 - 4.3.18.
5. Application problem. Look at 4.2.73 - 4.2.78.
6. Match the logarithmic function with its graph. Look at problems 4.2.45 - 4.5.50.
7. pH problem. Be able to convert pH into the concentration of hydrogen ions. Know what a change in one in pH means. Look at problems 4.5.63 - 4.5.66.
8. Write the expression as a sum, difference, and/or constant multiple of logarithms and simplify (if possible). Two parts. Look at problems 4.3.19 - 4.3.38.
9. Write the expression as the logarithm of a single quantity. Two parts. Look at problems 4.3.41 - 4.3.54.
10. Use the table of logarithms to approximate other logarithms. Three parts. Find the base of the logarithm used in the table.
11. Solve the exponential and logarithmic equations. Give an exact answer and a rounded answer. Four parts. Look at problems 4.4.27 - 4.4.33, 4.4.39 - 4.4.49, 4.4.55 - 4.4.59, 4.4.65 - 4.4.75.
12. Find the exponential model. Look at problems 4.5.43 - 4.5.47.
13. Express each melodic statement symbolically. Classify each statement as true or false.
14. Match the function with its graph. Look at problems 4.5.1 - 4.5.6.

Notes:

• There is none of 4.6 on the in-class test. There will be a take-home portion of the exam over section 4.6.
• For problems where you are to match the function with the graph, you should not resort to graphing them on your calculator to obtain the answer. If you do, you will not have enough time to finish the test.