Precalculus E-Bk
Description
Do logarithmic functions throw you for a loop? Does the challenge of finding an inverse function leave you overwhelmed? Does the Law of Cosines make you feel clueless? With this helpful, easy-to-follow guide, you will gain total command of these precalc concepts-and many more-in no time at all.
Precalculus: A Self-Teaching Guide includes an algebra review and complete coverage of exponential functions, log functions, and trigonometry. Whether you are studying precalculus for the first time, want to refresh your memory, or need a little help for a course, this clear, interactive primer will provide you with the skills you need. Precalculus offers a proven self-teaching approach that lets you work at your own pace-and the frequent self-tests and exercises reinforce what you've learned. Turn to this one-of-a-kind teaching tool and, before you know it, you'll be solving problems like a mathematician!
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Content
- Intro
- Title
- Copyright
- Contents
- 1 The Basics
- Pretest
- 1 Exponents
- 2 Polynomials
- 3 Rational Exponents and Radicals
- 4 Factoring
- 5 Basic Geometry
- 6 Applications
- 2 Functions
- 1 Definition of a Function
- 2 Operations on Functions
- 3 Composite Functions
- 4 Inverse Functions
- 3 Graphs of Functions
- 1 Intercepts
- 2 Slope of a Straight Line
- 3 Writing the Equation of a Straight Line
- 4 Graphs of Linear Functions
- 5 Graphs of Quadratic Functions
- 6 Graphs of Polynomial Functions of Degree 3 and Higher
- 7 Asymptotes
- 8 Oblique Asymptotes and Graphs of Rational Functions
- 4 Exponential and Logarithmic Functions
- 1 Exponential Functions
- 2 Logarithmic Functions
- 3 Properties of Logarithmic Functions
- 4 Solving Logarithmic Equations
- 5 Applications
- 5 Trigonometry
- 1 Angles and Their Measure
- 2 Right-Triangle Trigonometry
- 3 Trigonometric Functions of Any Angle
- 4 Graphs of the Basic Trigonometric Functions
- 5 Inverse Trigonometric Functions
- 6 Applications
- 6 Analytic Trigonometry
- 1 Using Fundamental Identities
- 2 Verifying Trigonometric Identities
- 3 Solving Trigonometric Equations
- 4 Sum and Difference Formulas
- 5 Multiple-Angle and Product-to-Sum Formulas
- 7 Additional Topics in Trigonometry
- 1 Law of Sines
- 2 Law of Cosines
- 3 Area of a Triangle
- 8 Miscellaneous Topics
- 1 Solving Systems of Inequalities and Linear Programming
- 2 Partial Fraction Decomposition
- Index
