Precalculus : A Graphing Approach, 1997

by Demana, Franklin D.; Waits, Bert K.; Clemens, Stanley R.; Osborne, Alan; Foley, Gregory D.

• ISBN13: 9780201870121
• ISBN10: 0201870126
• Edition: 4th
• Format: Hardcover
• Copyright: 1999-07-01
• Publisher: Pearson

Table of Contents

PREREQUISITE CHAPTER: ALGEBRA REVIEW
Real Number System	1	(9)
Properties of Real Numbers	10	(10)
Radicals and Rational Exponents	20	(5)
Polynomials and Special Products	25	(5)
Factoring Polynomials	30	(6)
Fractional Expressions	36	(7)
Linear Equations and Inequalities	43	(6)
Cartesian Coordinate System	49	(8)
Functions and Graphs
Problems and Their Representations	57	(10)
Functions	67	(12)
Linear Functions and Their Graphs	79	(16)
Lines of Best Fit for Data	95	(11)
Using Graphs to Study Characteristics of Functions	106	(13)
Applying Mathematics	119	(18)
Solving Equations and More on Functions
Solving Equations Graphically	137	(8)
Solving Equations Algebraically	145	(13)
Solving Absolute Value and Radical Equations and Inequalities	158	(13)
Operations on Functions, and Composition of Functions	171	(10)
Relations and parametric Equations	181	(7)
Describing Graphs Using Transformations	188	(12)
Inverse Relations and Inverse Functions	200	(13)
Polynomial Functions
Quadratic Functions	213	(11)
Polynomial Functions of Higher Degree	224	(13)
Polynomial Division and the Factor Theorem	237	(12)
Real Zeros of Polynomial Functions	249	(13)
Complex Numbers	262	(7)
Fundamental Theorem of Algebra	269	(16)
Exponential and Logarithmic Functions
Exponential Functions; Comparisons with the Power Functions	285	(12)
Logarithmic Functions: Inverses of Exponential Functions	297	(12)
Properties of Logarithmic Functions; Equation Solving	309	(9)
More Equation Solving and Applications	318	(11)
Interest and Annuities	329	(18)
Rational Functions
Rational Functions and Asymptotes	347	(11)
Graphing rational Functions, n ≤ m	358	(7)
Graphing Rational Functions, n > m	365	(8)
Rational Functions and Inequalities	373	(9)
Partial Fractions	382	(9)
Trigonometry
Angles and Their Measures	391	(11)
Trigonometric Functions of Acute Angles	402	(12)
Extending Trigonometric Functions	414	(14)
Graphs of Sine and Cosine Functions	428	(14)
Graphs of Other Trigonometric Functions	442	(8)
Advanced Trigonometric Graphs	450	(9)
Inverse Trigonometric Functions	459	(8)
Applications of Trigonometric Functions	467	(16)
Analytic Trigonometry
Applications of Fundamental Identities	483	(6)
Confirming Trigonometric Identities	489	(6)
Solving Trigonometric Equations	495	(8)
Sum and Difference Identities	503	(8)
Multiple-Angle Identities	511	(12)
Additional Applications of Trigonometry
Law of Sines	523	(11)
Law of Cosines	534	(10)
Vectors	544	(10)
Trigonometric Form of Complex Numbers	554	(5)
De Moivre's Theorem and nth Roots	559	(12)
Parametric Equations, Conics, and Polar Equations
Parametric Equations and Motion	571	(11)
Conic Sections	582	(12)
Conic Sections and Transformations	594	(15)
Polar Coordinates	609	(7)
Graphs of Polar Equations	616	(7)
Polar Equations of Conics	623	(16)
Systems of Equations and Inequalities
Solving Systems of Equations	639	(11)
Solving Systems of Linear Equations Using Gaussian Elimination	650	(10)
Solving Systems of Linear Equations with Matrices	660	(9)
Solving Systems of Linear Equations with Inverse Matrices	669	(10)
Solving Systems of Inequalities	679	(10)
Discrete Algebra
Sequences	689	(14)
Series and summation Notation	703	(16)
Mathematical Induction	719	(8)
Binomial Theorem	727	(8)
Basic Combinatorics	735	(8)
Probability	743	(13)
Displaying Data	756	(11)
Describing Data	767
appendix A Grapher Workshop	AA-1	(1)
appendix B Key Formulas	AB-1	(1)
appendix C Symbolic Logic	AC-1	(1)
glossary	G1	(1)
answers	A1	(1)
index	I1