College Algebra: Concepts Through Functions Bank Test Questions

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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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