College algebra : graphing, data, and analysis / Michael Sullivan, Michael Sullivan III.

Includes index.

R. Review. Classification of Numbers. Algebra Review. Geometry Review. Polynomials. Polynomial Division; Synthetic Division. Factoring Polynomials. Rational Expressions. nth Roots; Rational Exponents. 1. Equations, Inequalities, and Functions. Solving Equations and Inequalities in One Variable Algebraically. Rectangular Coordinates; Graphing Utilities. Introduction to Graphing Equations. Symmetry; Graphing Key Equations; Circles. Solving Equations and Inequalities in One Variable Using a Graphing Utility. Introduction to Functions. The Graph of a Function. Properties of Functions. 2. Linear Functions and Models. Properties of Linear Functions. Equations of Lines; Building Linear Functions. Setting Up Linear Equations; Applications. Building Linear Functions from Data. 3. Quadratic Functions and Models. Quadratic Equations. Properties of Quadratic Functions. Inequalities Involving Quadratic Functions. Quadratic Models; Building Quadratic Functions. Complex Numbers; Quadratic Equations with a Negative Discriminant. 4. Additional Functions and Models. Radical Equations; Absolute Value Equations; Absolute Value Inequalities. Library of Functions; Piecewise-Defined Functions. Graphing Techniques; Transformations. Models Involving the Square Root Function and Piecewise-Defined Functions. 5. Polynomial Functions and Models. Power Functions and Models. Polynomial Functions and Models. Rational Functions I. Rational Functions II: Analyzing Graphs. Polynomial and Rational Inequalities. The Real Zeros of a Polynomial Function. Complex Zeros; Fundamental Theorem of Algebra. 6. Exponential and Logarithmic Functions. Composite Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Exponential Growth and Decay. Logistic Growth and Decay. Fitting Data to Exponential, Logarithmic, and Logistic Functions. 7. Conics. Conics. The Parabola. The Ellipse. The Hyperbola. 8. Systems of Equations and Inequalities. Systems of Linear Equations: Substitution and Elimination. Systems of Linear Equations: Matrices. Systems of Linear Equations: Determinants. Matrix Algebra. Partial Fraction Decomposition. Systems of Nonlinear Equations. Systems of Inequalities. Linear Programming. 9. Sequences; Induction; The Binomial Theorem. Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem. 10. Counting and Probability. Sets and Counting. Permutations and Combinations. Probability of Equally Likely Outcomes. Obtaining Probabilities from Data. Answers. Index.