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Math 151 Study Guide for Hour Quiz #3 C.S.Davis |
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You are responsible for the subject matter in the sections below. The following topics are the most important. Typical exercises from Precalculus, 4rd edition, by Stewart, Redlin & Watson are assigned at the end of each objective. Work additional exercises if you need more practice. The answers to the odd numbered problems are in the back of the text. These exercises are for practice and are not graded. The problem sets found on the PreCalculus Welcome Page are graded in class. See the Semester Plan for the current dates for the grading of the problem sets and taking of the hour quizzes. |
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| 4.1 Exponential functions describe rates of growth and decay found in nature. | |
| 1. | Graph the exponential function, y = ax, for various bases a. P336#3,7 |
| 2. | Find the formula for the exponential function whose graph is given. P336#15-23odd,39 |
| 3. | Perform transformations (reflecting, stretching, translating) on exponential functions. P336#25-37odd |
| 4. | Solve word problems about interest compounded both periodically and continuously involving exponential functions. P340#77,79 |
| 4.2 Logarithm functions are the inverses of the exponential functions. | |
| 1. | Define logarithmic function (what it "means"), convert between exponentials and logarithms and simplify expressions involving logarithms. P349#1-35(first and last odd of each type) |
| 2. | Graph the logarithm function, y = loga x, for various bases a. P350#47 |
| 3. | Find the formula for the exponential function whose graph is given. P350#37-43odd |
| 4. | Perform transformations (reflecting, stretching, translating) on the logarithm function, y = loga x. P350#47,49,51,53 |
| 4.3 As inverses of exponential functions, logarithm properties correspond to each exponential property. | |
| 1. | Use the laws and properties of logarithms to simplify and manipulate expressions containing logarithms. P356#1,3,5,11,15,17,23,29,31,39,43,45 |
| 2. | Change logarithms from one base to another. P357#49,53 |
| 4.4 Solving exponential and logarithm equations is one step in some calculus problems. | |
| 1 | Solve exponential equations. P366#1,7,11,15,21,31 |
| 2. | Solve logarithmic equations. P367#39,43,47,49 |
| 3. | Solve a word problem about interest compounded both periodically and continuously. P367#67,69,71 |
| 4.5 Logarithms are used to solve half of the questions about growth and decay problems. | |
| 1. | Solve exponential growth and decay problems. P379#1,5,15,21,24,25 |