Precalculus a Graphing Approach

by Unknown

• ISBN13: 9780618052899
• ISBN10: 0618052895
• Edition: 3rd
• Format: Paperback
• Copyright: 2000-08-02
• Publisher: Brooks Cole

Summary

As part of the market-leading Graphing Approach series by Larson, Hostetler, and Edwards, Precalculus: A Graphing Approach, 4/e, provides both students and instructors with a sound mathematics course in an approachable, understandable format. The quality and quantity of the exercises, combined with interesting applications, cutting-edge design, and innovative resources, make teaching easier and help students succeed in mathematics. This edition, intended for precalculus courses that require the use of a graphing calculator, includes a moderate review of algebra to help students entering the course with weak algebra skills.

Table of Contents

Note: Each chapter concludes with a Chapter Summary, Review Exercises, and a Chapter Test

Prerequisites

Real Numbers

Exponents and Radicals

Polynomials and Factoring

Rational Expressions

The Cartesian Plane

Exploring Data: Representing Data Graphically

Functions and Their Graphs Introduction to Library of Functions

Graphs of Equations

Lines in the Plane

Functions

Graphs of Functions

Shifting, Reflecting, and Stretching Graphs

Combinations of Functions

Inverse Functions

Solving Equations and Inequalities

Linear Equations and Problem Solving

Solving Equations Graphically

Complex Numbers

Solving Equations Algebraically

Solving Inequalities Algebraically and Graphically

Exploring Data: Linear Models and Scatter Plots Cumulative Test: Chapters P–2

Polynomial and Rational Functions

Quadratic Functions

Polynomial Functions of Higher Degree

Real Zeros of Polynomial Functions

The Fundamental Theorem of Algebra

Rational Functions and Asymptotes

Graphs of Rational Functions

Exploring Data: Quadratic Models

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

Exploring Data: Nonlinear Models Cumulative Test: Chapters 3–4

Trigonometric Functions

Angles and Their Measure

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 5–7

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

Conics

Translations of Conics

Parametric Equations

Polar Coordinates

Graphs of Polar Equations

Polar Equations of Conics Cumulative Test: Chapters 8–10

Technology Support Guide

Proofs of Selected Theorems

Concepts in Statistics

Measures of Central Tendency and Dispersion

Least Squares Regression

Solving Linear Equations and Inequalities

Systems of Inequalities

Solving Systems of Inequalities

Linear Programming

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