Pre-calculus demystified /
"Your solution to mastering pre-calculus!Fully updated throughout, Pre-calculus DeMYSTiFieD, Second Edition features all-new quizzes and test questions, detailed explanations of the exercises, and a completely refreshed design. Author Rhonda Huettenmueller helps you understand the material by o...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New York, NY :
McGraw-Hill Professional,
2012.
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| Edition: | 2nd ed. |
| Series: | Demystified series
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| Subjects: |
Table of Contents:
- 1. Lines and their slopes : The slope of a line ; Linear equations ; Parallel and perpendicular lines ; Applications of lines and slopes ; Summary ; Quiz
- 2. Introduction to functions : The definition of a function ; Evaluating a function ; More on evaluating functions ; Domain and range ; Summary ; Quiz
- 3. Functions and their graphs : Evaluating a function ; The domain and range ; Average rate of change; Even and odd functions; Introduction to graphing calculators ; Summary ; Quiz
- 4. Combinations of functions : Arithmetic combinations ; Function composition ; Inverse functions ; Summary ; Quiz
- 5. Transformations of functions : Shifting graphs ; Stretching and compressing graphs ; Reflecting graphs ; Function transformations and graphing calculators ; Summary ; Quiz
- 6. Quadratic functions : The graph of a quadratic function ; Finding a quadradtic function ; Finding the vertex ; Optimizing quadratic functions ; Summary ; Quiz
- 7. Polynomial functions : Introduction to polynomial functions and their graphs ; The real zeros of a polynomial function ; Polynomial division ; The rational zero theorem ; Complex numbers; The fundamental theorem of algebra ; Summary ; Quiz
- 8. Rational functions : Introduction to rational functions ; Sketching the graph of a rational function ; Summary ; Quiz
- 9. Exponential and logarithmic functions : Compound growth ; The exponential function ; Logarithms ; The logarithmic function ; Equations involving exponents and logarithms ; Three important logarithm properties ; Summary ; Quiz
- 10. Systems of equations and inequalities : Systems of linear equations ; Other systems of equations ; Systems of inequalities ; Summary ; Quiz
- 11. Matrices : Matrix arithmetic ; Row operations and inverses ; Matrices and systems of equations ; The determinant of a matrix ; Summary ; Quiz
- 12. Conic sections : Parabolas ; Ellipses ; Hyperbolas ; Equations in other forms ; Summary ; Quiz
- 13. Trigonometry : The unit circle ; Angles ; Trigonometric functions ; Graphs of trigonometric functions ; Right triangle trigonometry ; Inverse trigonometric functions ; The law of sines and the law of cosines ; Miscellaneous formulas ; Introduction to proving trigonometric identities ; Summary ; Quiz
- 14. Sequences : The nth term of a sequence ; Partial sums for a sequence ; Arithmetic sequences ; Geometric sequences ; Payments and geometric sequences ; Summary ; Quiz
- Final exam
- Answers to quizzes and final exams.