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Digital file of College Algebra: Concepts Through Functions for sale
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Category : Higher Education
Table of Contents
FOUNDATIONS: A PRELUDE TO FUNCTIONS
F.1 The Distance and Midpoint Formulas
F.2 Graphs of Equations; Intercepts; Symmetry
F.3 Lines
F.4 Circles
Chapter 1 Functions and Their Graphs
1.1 Functions
1.2 The Graph of a Function
1.3 Properties of Functions
1.4 Library of Functions; Piecewise-defined Functions
1.5 Graphing Techniques: Transformations
1.6 Mathematical Models: Constructing Functions
Chapter Review
Chapter Test
Chapter Projects
Chapter 2 Linear and Quadratic Functions
2.1 Properties of Linear Functions
2.2 Building Linear Functions from Data; Direct Variation
2.3 Quadratic Functions and Their Real Zeros
2.4 Properties of Quadratic Functions
2.5 Inequalities Involving Quadratic Functions
2.6 Quadratic Models; Building Quadratic Functions From Data
2.7 Complex Zeros of a Quadratic Function
2.8 Equations and Inequalities Involving the Absolute Value Function
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Chapter 3 Polynomial and Rational Functions
3.1 Polynomial Functions and Models
3.2 Properties of Rational Functions
3.3 The Graph of a Rational Function; Inverse and Joint Variation
3.4 Polynomial and Rational Inequalities
3.5 The Real Zeros of a Polynomial Function
3.6 Complex Zeros: Fundamental Theorem of Algebra
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 4 Exponential and Logarithmic Functions
4.1 Composite Functions
4.2 One-to-One Functions; Inverse Functions
4.3 Exponential Functions
4.4 Logarithmic Functions
4.5 Properties of Logarithms
4.6 Logarithmic and Exponential Equations
4.7 Compound Interest
4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay
4.9 Building Exponential, Logarithmic, and Logistic Functions from Data
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Chapter 5 Analytic Geometry
5.1 Conics
5.2 The Parabola
5.3 The Ellipse
5.4 The Hyperbola
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Chapter 6 Systems of Equations and Inequalities
6.1 Systems of Linear Equations: Substitution and Elimination
6.2 Systems of Linear Equations: Matrices
6.3 Systems of Linear Equations: Determinants
6.4 Matrix Algebra
6.5 Partial Fraction Decomposition
6.6 Systems of Nonlinear Equations
6.7 Systems of Inequalities
6.8 Linear Programming
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Chapter 7 Sequences; Induction; The Binomial Theorem
7.1 Sequences
7.2 Arithmetic Sequences
7.3 Geometric Sequences; Geometric Series
7.4 Mathematical Induction
7.5 The Binomial Theorem
Chapter Review
Chapter Test
Chapter Projects
Cumulative Review
Chapter 8 Counting and Probability
8.1 Sets and Counting
8.2 Permutations and Combinations
8.3 Probability
Chapter Review
Chapter Test
Chapter Project
Cumulative Review
Appendix A Review
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Polynomials
A.4 Factoring Polynomials
A.5 Synthetic Division
A.6 Rational Expressions
A.7 nth Roots; Rational Exponents
A.8 Solving Equations Algebraically
A.9 Interval Notation; Solving Inequalities
A.10 Problem Solving: Applications of Linear Equations
A.11 Complex Numbers
Appendix B Graphing Utilities
B.1 The Viewing Rectangle
B.2 Graphing Equations in Two Variables
B.3 Locating Intercepts and Checking for Symmetry
B.4 Solving Equations Using a Graphing Utility
B.5 Square Screens
B.6 Graphing Inequalities in Two Variables
B.7 Solving Systems of Linear Equations
Answers
Index
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