Precalculus Functions and Graphs A Graphing Approach, Enhanced Edition (with WebAssign Printed Access Card, Single-Term)

by Larson, Ron; Hostetler, Robert P.; Edwards, Bruce H.

• ISBN13: 9781439044520
• ISBN10: 143904452X
• Edition: 5th
• Format: Hardcover
• Copyright: 2009-04-20
• Publisher: Cengage Learning

Summary

Part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, PRECALCULUS FUNCTIONS AND GRAPHS: A GRAPHING APPROACH, 5/e, is an ideal user resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help users succeed. Continuing the series’ emphasis on user support, the Fifth Edition introduces Prerequisite Skills Review. For selected examples throughout the book, the Prerequisite Skills Review directs users to previous sections in the book to review concepts and skills needed to master the material at hand. In addition, prerequisite skills review exercises in Eduspace are referenced in every exercise set. The Larson team achieves accessibility through careful writing and design, including examples with detailed solutions that begin and end on the same page, which maximizes the readability of the book. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. This Enhanced Edition includes instant access to Enhanced WebAssign®, the most widely-used and reliable homework system. Enhanced WebAssign® presents thousands of problems, links to relevant book sections, video examples, problem-specific tutorials, and more, that help users grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this book. This guide contains instructions to help users learn the basics of WebAssign quickly.

Table of Contents

Functions And Their Graphs

Introduction to Library of Parent Functions

Lines in the Plane

Functions

Graphs of Functions

Shifting, Reflection, and Stretching Graphs

Combinations of Functions

Inverse Functions

Linear Models and Scatter Plots

Polynomial And Rational Functions

Quadratic Functions

Polynomial Functions of Higher Degree

Real Zeros of Polynomial Functions

Complex Numbers

The Fundamental Theorem of Algebra

Rational Functions and Asymptotes

Graphs of Rational Functions

Quadratic Models

Progressive Summary: Chapters 1-2

Exponential And Logarithmic Functions

Exponential Functions and Their Graphs

Logarithmic Functions and Their Graphs

Properties of Logarithms

Solving Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Nonlinear Models

Cumulative Review: Chapters 1-3

Progressive Summary: Chapters 1-3

Trigonometric Functions

Radian and Degree Measure

Trigonometric Functions: The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

Analytic Trigonometry

Using Fundamental Identities

Verifying Trigonometric Identities

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple-Angle and Product-to-Sum Formulas

Additional Topics In Trigonometry

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

Trigonometric Form of a Complex Number

Cumulative Test: Chapters 4-6

Progressive Summary: Chapters 1-6

Linear Systems And Matrices

Solving Systems of Equations

Systems of Linear Equations in Two Variables

Multivariable Linear Systems

Matrices and Systems of Equations

Operations with Matrices

The Inverse of a Square Matrix

The Determinant of a Square Matrix

Applications of Matrices and Determinants

Sequences, Series, And Probability

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

The Binomial Theorem

Counting Principles

Probability

Topics In Analytic Geometry

Circles and Parabolas

Ellipses

Hyperbolas

Rotation and Systems of Quadratic Equations

Parametric Equations

Polar Coordinates

Graphs of Polar Equations

Polar Equations of Conics

Cumulative Test: Chapters 7-9

Progressive Summary: Chapters 3-9

Analytic Geometry In Three Dimensions

The Three-Dimensional Coordinate System

Vectors in Space

The Cross Product of Two Vectors

Lines and Planes in Space

Limits And An Introduction To Calculus

Introduction to Limits

Techniques for Evaluating Limits

The Tangent Line Problem

Limits at Infinity and Limits of Sequences

The Area Problem

Cumulative Test: Chapters 10-11

Progressive Summary: Chapters 3-11

Technology Support Guide

Review of Graphs, Equations, and Inequalities

The Cartesian Plane

Graphs of Equations

Solving Equations Algebraically and Graphically

Solving Inequalities Algebraically and Graphically

Solving Inequalities Algebraically and Graphically

Representing Data Graphically

Concepts in Statistics

Measures of Central Tendency and Dispersion

Least Squares Regression

Variation

Solving Linear Equations and Inequalities

Systems of Inequalities

Solving Systems of Inequalities

Linear Programming

Study Capsules

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