Precalculus Concepts Through Functions A Right Triangle Approach to Trigonometry 3rd Edition Sullivan Test Bank

1. Foundations: A Prelude to Functions
   • F.1 The Distance and Midpoint Formulas
   • F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
   • F.3 Lines
   • F.4 Circles
   • Chapter Project
2. 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: Building Functions
   • 1.7 Building Mathematical Models Using Variation
   • Chapter Review
   • Chapter Test
   • Chapter Projects
3. Linear and Quadratic Functions
   • 2.1 Properties of Linear Functions and Linear Models
   • 2.2 Building Linear Models from Data
   • 2.3 Quadratic Functions and Their Zeros
   • 2.4 Properties of Quadratic Functions
   • 2.5 Inequalities Involving Quadratic Functions
   • 2.6 Building Quadratic Models from Verbal Descriptions and from Data
   • 2.7 Complex Zeros of a Quadratic Function
   • 2.8 Equations and Inequalities Involving the Absolute Value Function
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
4. Polynomial and Rational Functions
   • 3.1 Polynomial Functions and Models
   • 3.2 The Real Zeros of a Polynomial Function
   • 3.3 Complex Zeros; Fundamental Theorem of Algebra
   • 3.4 Properties of Rational Functions
   • 3.5 The Graph of a Rational Function
   • 3.6 Polynomial and Rational Inequalities
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
5. 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 Financial Models
   • 4.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
   • 4.9 Building Exponential, Logarithmic, and Logistic Models from Data
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
6. Trigonometric Functions
   • 5.1 Angles and Their Measure
   • 5.2 Trigonometric Functions: Unit Circle Approach
   • 5.3 Properties of the Trigonometric Functions
   • 5.4 Graphs of the Sine and Cosine Functions
   • 5.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
   • 5.6 Phase Shift; Sinusoidal Curve Fitting
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
7. Analytic Trigonometry
   • 6.1 The Inverse Sine, Cosine, and Tangent Functions
   • 6.2 The Inverse Trigonometric Functions (Continued)
   • 6.3 Trigonometric Equations
   • 6.4 Trigonometric Identities
   • 6.5 Sum and Difference Formulas
   • 6.6 Double-angle and Half-angle Formulas
   • 6.7 Product-to-Sum and Sum-to-Product Formulas
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
8. Applications of Trigonometric Functions
   • 7.1 Right Triangle Trigonometry; Applications
   • 7.2 The Law of Sines
   • 7.3 The Law of Cosines
   • 7.4 Area of a Triangle
   • 7.5 Simple Harmonic Motion; Damped Motion; Combining Waves
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
9. Polar Coordinates; Vectors
   • 8.1 Polar Coordinates
   • 8.2 Polar Equations and Graphs
   • 8.3 The Complex Plane; De Moivre’s Theorem
   • 8.4 Vectors
   • 8.5 The Dot Product
   • 8.6 Vectors in Space
   • 8.7 The Cross Product
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
10. Analytic Geometry
    • 9.1 Conics
    • 9.2 The Parabola
    • 9.3 The Ellipse
    • 9.4 The Hyperbola
    • 9.5 Rotation of Axes; General Form of a Conic
    • 9.6 Polar Equations of Conics
    • 9.7 Plane Curves and Parametric Equations
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
11. Systems of Equations and Inequalities
    • 10.1 Systems of Linear Equations: Substitution and Elimination
    • 10.2 Systems of Linear Equations: Matrices
    • 10.3 Systems of Linear Equations: Determinants
    • 10.4 Matrix Algebra
    • 10.5 Partial Fraction Decomposition
    • 10.6 Systems of Nonlinear Equations
    • 10.7 Systems of Inequalities
    • 10.8 Linear Programming
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
12. Sequences; Induction; the Binomial Theorem
    • 11.1 Sequences
    • 11.2 Arithmetic Sequences
    • 11.3 Geometric Sequences; Geometric Series
    • 11.4 Mathematical Induction
    • 11.5 The Binomial Theorem
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
13. Counting and Probability
    • 12.1 Counting
    • 12.2 Permutations and Combinations
    • 12.3 Probability
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
14. A Preview of Calculus: The Limit, Derivative, and Integral of a Function
    • 13.1 Finding Limits Using Tables and Graphs
    • 13.2 Algebra Techniques for Finding Limits
    • 13.3 One-sided Limits; Continuous Functions
    • 13.4 The Tangent Problem; The Derivative
    • 13.5 The Area Problem; The Integral
    • Chapter Review
    • Chapter Test
    • Chapter Projects

• 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
• A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
• A.10 Interval Notation; Solving Inequalities
• A.11 Complex Numbers

• B.1 The Viewing Rectangle
• B.2 Using a Graphing Utility to Graph Equations
• B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
• B.4 Using a Graphing Utility to Solve Equations
• B.5 Square Screens
• B.6 Using a Graphing Utility to Graph Inequalities
• B.7 Using a Graphing Utility to Solve Systems of Linear Equations
• B.8 Using a Graphing Utility to Graph a Polar Equation
• B.9 Using a Graphing Utility to Graph Parametric Equations

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