Rent 9780618851508 | Precalculus Functions and Graphs : A Graphing Approach | Larson, Ron; Hostetler, Robert P.; Edwards, Bruce H. @knetbooks.com

Summary Table of Contents

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 student and instructor 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 students succeed.Continuing the series' emphasis on student support, the Fifth Edition introduces "Prerequisite Skills Review." For selected examples througho... MOREut the text, the "Prerequisite Skills Review" directs students to previous sections in the text to review concepts and skills needed to master the material at hand. In addition, prerequisite skills review exercises in Eduspace (see below for description) 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 text. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles."New!" The "Nutshell Appendix" reviews the essentials of each function, discussed in the "Library of Functions" feature, and offers study capsules with properties, methods, and examples of the major concepts covered in the textbook. This appendix is an ideal study aid for students."New!" "Progressive Summaries" outline newly introduced topics every three chapters and contextualize them within the framework of the course."New!" "Make a Decision" exercises--extended modeling applications presented at the endof selected exercise sets--give students the opportunity to apply the mathematical concepts and techniques they've learned to large sets of real data."Updated!" The Library of Functions, threaded throughout the text, defines each elementary function and its characteristics at first point of use. The Fifth Edition incorporates new exercises that tests students' understanding of these functions. All elementary functions are also presented in a summary on the front endpapers of the text for convenient reference."Updated!" The "Chapter Summaries" have been updated to include the Key Terms and Key concepts that are covered in the chapter. These chapter summaries are an effective study aid because they provide a single point of reference for review."Updated!" The "Proofs of Selected Theorems" are now presented at the end of each chapter for easy reference.The Larson team provides an abundance of features that help students use technology to visualize and understand mathematical concepts. "Technology Tips" point out the pros and cons of technology use in certain mathematical situations. They also provide alternative methods of solving or checking a problem using a graphing calculator. Students may sometimes be misled by the visuals generated by graphing calculators, so the authors use color to enhance the graphing calculator displays in the textbook, where appropriate. This enables students to visualize concepts accurately and efficiently. "Technology Support" notes appear throughout the text and refer students to the "Technology Support Appendix," where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. The "TechnologySupport" notes also direct students to the "Graphing Technology Guide," on the textbook's website, for keystroke support for numerous calculator models.Carefully positioned throughout the text, "Explorations" engage students in active discovery of mathematical concepts, strengthening critical thinking skills and helping them to develop an intuitive understanding of theoretical concepts."What You Should Learn" and "Why You Should Learn It" appears at the beginning of each chapter and section, offering students a succinct list of the concepts they will soon encounter. Additi

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	... MORE
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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