Chapter 1: Functions, Graphs, and Models; Linear Functions 
Section  Topic 
1.1  Functions and Models
1.1.50 Modeling
1.1.64 Modeling

1.2  Graphs and Functions
1.2.44 Graphs
1.2.50 Graphs

1.3  Linear Functions
1.3.44 Average Rate of Change
1.3.62 Marginal Profit 
1.4  Equations of Lines
1.4.52 Equation of a Line
1.4.62 Equation of a Line


Chapter 2: Linear Models, Equations, and Inequalities 
Section  Topic 
2.1  Algebraic and Graphical Solution of Linear Equations
2.1.68 Solving Algebraically and Graphically
2.1.80 Solve for the Indicated Variable 
2.2  Fitting Lines to Data Points: Modeling Linear Functions
2.2.34 Line of Best Fit
2.2.44 Line of Best Fit 
2.3  Systems of Linear Equations in Two Variables
2.3.44 Solve a System in Two Variables
2.3.58 Solve a System in Two Variables 
2.4  Solution of Linear Inequalities
2.4.38 Solve a Linear Inequality
2.4.52 Solve a Linear Inequality 

Chapter 3: Quadratic, PiecewiseDefined, and Power Functions 
Section  Topic 
3.1  Quadratic Functions, Parabolas 3.1.52 Vertex Formula 3.1.72 Vertex Formula 
3.2  Solving Quadratic Equations 3.2.66 Solving Quadratic Equations 3.2.74 Solving Quadratic Equations 
3.3  PiecewiseDefined Functions and Power Functions 3.3.48 PiecewiseDefined Function 3.3.52 Power Function 
3.4  Quadratic and Power Models 

Chapter 4: Additional Topics with Functions 
Section  Topic 
4.1  Transformations of Graphs and Symmetry 4.1.64 Transforming Graphs 4.1.70 Transforming Graphs 
4.2  Combining Functions; Composite Functions 4.2.30 Combining Functions 4.2.48 Composite Functions 
4.3  OnetoOne and Inverse Functions 4.3.32 Inverse Functions 4.3.44 OnetoOne and Inverse Functions 
4.4  Additional Equations and Inequalities 4.4.50 Quadratic Inequality 4.4.60 Quadratic Inequality 

Chapter 5: Exponential and Logarithmic Functions 
Section  Topic 
5.1  Exponential Functions 5.1.50 Exponential Function 5.1.54 Exponential Function 
5.2  Logarithmic Functions; Properties of Logarithms 5.2.44 Logarithmic Function 5.2.48 Logarithmic Function 
5.3  Exponential and Logarithmic Functions 5.3.52 Doubling Time 5.3.74 ChangeofBase Formula 
5.4  Exponential and Logarithmic Functions 5.4.20 Exponential Model 5.4.32 Exponential Regression 
5.5  Exponential Functions and Investing 5.5.30 Time to Double 5.5.42 Future Value 
5.6  Annuities; Loan Repayment 
5.7  Logistic and Gompertz Functions 

Chapter 6: HigherDegree Polynomial and Rational Functions 
Section  Topic 
6.1  HigherDegree Polynomial Functions 6.1.40 Cubic Functions 6.1.46 Local Extrema 
6.2  Modeling with Cubic and Quartic Functions 
6.3  Solution of Polynomial Equations 6.3.34 Factoring and the Root Method 6.3.42 Factoring and Grouping 
6.4  Polynomial Equations and Continued; Fundamental Theorem of Algebra 6.4.34 Synthetic Division 6.4.36 Synthetic Division 
6.5  Rational Functions and Rational Equations 6.5.38 Rational Functions 6.5.52 Rational Functions 
6.6  Polynomial and Rational Inequalities 

Chapter 7: Systems of Equations and Matrices 
Section  Topic 
7.1  Systems of Linear Equations in Three Variables 7.1.22 Solving Systems in Three Variables 7.1.32 Solving Systems in Three Variables 
7.2  Matrix Solution of Systems of Linear Equations 
7.3  Matrix Operations 
7.4  Inverse Matrices; Matrix Equations 
7.5  Determinants and Cramer's Rule 
7.6  Systems of Nonlinear Equations 7.6.30 Systems of Nonlinear Equations 7.6.36 Systems of Nonlinear Equations 

Chapter 8: Special Topics in Algebra 
Section  Topic 
8.1  Systems of Inequalities 
8.2  Linear Programming: Graphical Methods 
8.3  Sequences and Discrete Functions 8.3.8 Sequences 8.3.14 Sequences 
8.4  Series 8.4.10 Series 8.4.16 Series 
8.5  Preparing for Calculus 
8.6  The Binomial Theorem 
8.7  Conic Sections: Circles and Parabolas 
8.8  Conic Sections: Ellipses and Hyperbolas 