College Algebra Essentials

by Sullivan, Michael

• ISBN13: 9780136154341
• ISBN10: 0136154344
• Edition: 8th
• Format: Hardcover
• Copyright: 2008-01-01
• Publisher: Prentice Hall

Summary

The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers.Chapter topics include Graphs; Polynomial and Rational Functions; Conics; Systems of Equations and Inequalities; Exponential and Logarithmic Functions; Counting and Probability; and more.For individuals with an interest in learning algebra as it applies to their everyday lives.

Table of Contents

Review

Real Numbers

Algebra Essentials

Geometry Essentials

Polynomials

Factoring Polynomials

Synthetic Division

Rational Expressions

nth Roots; Rational Exponents

Equations and Inequalities

Linear Equations

Quadratic Equations

Complex Numbers; Quadratic Equations in the Complex Number System

Radical Equations; Equations Quadratic in Form; Factorable Equations

Solving Inequalities

Equations and Inequalities Involving Absolute Value

Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications

Graphs

The Distance and Midpoint Formulas

Graphs of Equations in Two Variables; Intercepts; Symmetry

Lines

Circles

Variation

Functions and Their Graphs

Functions

The Graph of a Function

Properties of Functions

Library of Functions; Piecewise-defined Functions

Graphing Techniques: Transformations

Mathematical Models: Building Functions

Linear and Quadratic Functions

Linear Functions and Their Properties

Building Linear Functions from Data

Quadratic Functions and Their Properties

Quadratic Models; Building Quadratic Functions from Data

Inequalities Involving QuadraticFunctions

Polynomial and Rational Functions

Polynomial Functions and Models

Properties of Rational Functions

The Graph of a Rational Function

Polynomial and Rational Inequalities

The Real Zeros of a Polynomial Function

Complex Zeros: Fundamental Theorem of Algebra

Exponential and Logarithmic Functions

Composite Functions

One-to-One Functions; Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithms

Logarithmic and Exponential Equations

Compound Interest

Exponential Growth and Decay Models; Newtonrsquo;s Law; Logistic Growth and Decay Models

Building Exponential, Logarithmic, and Logistic Functions from Data

Systems of Equations and Inequalities

Systems of Linear Equations: Substitution and Elimination

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