Precalculus: Graphs and Models, A Right Triangle Approach, 6th edition

  • Marvin L. Bittinger, 
  • Judith A. Beecher, 
  • David J. Ellenbogen, 
  • Judith A. Penna

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Overview

Precalculus: Graphs and Models helps you succeed thanks to a focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications.

Published by Pearson (September 1st 2020) - Copyright © 2021

ISBN-13: 9780136880394

Subject: Precalculus, College Algebra & Trigonometry

Category: Precalculus

Table of contents

Table of Contents

  • Preface
  • To the Student
  • Just-In-Time Review
  1. Graphs, Functions, and Models
    • 1.1 Introduction to Graphing
      • Visualizing the Graph
    • 1.2 Functions and Graphs
    • 1.3 Linear Functions, Slope, and Applications
      • Visualizing the Graph
      • Mid-Chapter Mixed Review
    • 1.4 Equations of Lines and Modeling
    • 1.5 Linear Equations, Functions, Zeros, and Applications
    • 1.6 Solving Linear Inequalities
    • Study Guide
    • Review Exercises
    • Test
  2. More on Functions
    • 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
    • 2.2 The Algebra of Functions
    • 2.3 The Composition of Functions
      • Mid-Chapter Mixed Review
    • 2.4 Symmetry
    • 2.5 Transformations
      • Visualizing the Graph
    • 2.6 Variation and Application
    • Study Guide
    • Review Exercises
    • Test
  3. Quadratic Functions and Equations; Inequalities
    • 3.1 The Complex Numbers
    • 3.2 Quadratic Equations, Functions, Zeros, and Models
    • 3.3 Analyzing Graphs of Quadratic Functions
      • Visualizing the Graph
      • Mid-Chapter Review
    • 3.4 Solving Rational Equations and Radical Equations
    • 3.5 Solving Equations and Inequalities with Absolute Value
    • Study Guide
    • Review Exercises
    • Test
  4. Polynomial Functions and Rational Functions
    • 4.1 Polynomial Functions and Modeling
    • 4.2 Graphing Polynomial Functions
      • Visualizing the Graph
    • 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
      • Mid-Chapter Mixed Review
    • 4.4 Theorems about Zeros of Polynomial Functions
    • 4.5 Rational Functions
      • Visualizing the Graph
    • 4.6 Polynomial Inequalities and Rational Inequalities
    • Study Guide
    • Review Exercises
    • Test
  5. Exponential Functions and Logarithmic Functions
    • 5.1 Inverse Functions
    • 5.2 Exponential Functions and Graphs
    • 5.3 Logarithmic Functions and Graphs
      • Visualizing the Graph
      • Mid-Chapter Mixed Review
    • 5.4 Properties of Logarithmic Functions
    • 5.5 Solving Exponential Equations and Logarithmic Equations
    • 5.6 Applications and Models: Growth and Decay; Compound Interest
    • Study Guide
    • Review Exercises
    • Test
  6. The Trigonometric Functions
    • 6.1 Trigonometric Functions of Acute Angles
    • 6.2 Applications of Right Triangles
    • 6.3 Trigonometric Functions of Any Angle
      • Mid-Chapter Mixed Review
    • 6.4 Radians, Arc Length, and Angular Speed
    • 6.5 Circular Functions: Graphs and Properties
    • 6.6 Graphs of Transformed Sine Functions and Cosine Functions
    • Visualizing the Graph
    • Study Guide
    • Review Exercises
    • Test
  7. Trigonometric Identities, Inverse Functions, and Equations
    • 7.1 Identities: Pythagorean and Sum and Difference
    • 7.2 Identities: Cofunction, Double-Angle, and Half-Angle
    • 7.3 Proving Trigonometric Identities
      • Mid-Chapter Mixed Review
    • 7.4 Inverses of the Trigonometric Functions
    • 7.5 Solving Trigonometric Equations
    • Visualizing the Graph
    • Study Guide
    • Review Exercises
    • Test
  8. Applications of Trigonometry
    • 8.1 The Law of Sines
    • 8.2 The Law of Cosines
    • 8.3 Complex Numbers: Trigonometric Notation
      • Mid-Chapter Mixed Review
    • 8.4 Polar Coordinates and Graphs
      • Visualizing the Graph
    • 8.5 Vectors and Applications
    • 8.6 Vector Operations
    • Study Guide
    • Review Exercises
    • Test
  9. Systems of Equations and Matrices
    • 9.1 Systems of Equations in Two Variables
      • Visualizing the Graph
    • 9.2 Systems of Equations in Three Variables
    • 9.3 Matrices and Systems of Equations
    • 9.4 Matrix Operations
      • Mid-Chapter Mixed Review
    • 9.5 Inverses of Matrices
    • 9.6 Determinants and Cramer’s Rule
    • 9.7 Systems of Inequalities and Linear Programming
    • 9.8 Partial Fractions
    • Study Guide
    • Review Exercises
    • Test
  10. Analytic Geometry Topics
    • 10.1 The Parabola
    • 10.2 The Circle and the Ellipse
    • 10.3 The Hyperbola
    • 10.4 Nonlinear Systems of Equations and Inequalities
      • Visualizing the Graph
      • Mid-Chapter Mixed Review
    • 10.5 Rotation of Axes
    • 10.6 Polar Equations of Conics
    • 10.7 Parametric Equations
    • Study Guide
    • Review Exercises
    • Test
  11. Sequences, Series, and Combinatorics
    • 11.1 Sequences and Series
    • 11.2 Arithmetic Sequences and Series
    • 11.3 Geometric Sequences and Series
      • Visualizing the Graph
    • 11.4 Mathematical Induction
      • Mid-Chapter Mixed Review
    • 11.5 Combinatorics: Permutations
    • 11.6 Combinatorics: Combinations
    • 11.7 The Binomial Theorem
    • 11.8 Probability
    • Study Guide
    • Review Exercises
    • Test

Photo Credits

Answers // Additional Instructor’s Answers

Index

Index of Applications

Your questions answered

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