Precalculus: Functions and Graphs, 4th edition
- Mark Dugopolski
Looking for your MyLab or Mastering eTextbook? Find it here
Learn more, spend less
- Find it fast
Quickly navigate your eTextbook with search
- Stay organized
Access all your eTextbooks in one place
- Easily continue access
Keep learning with auto-renew
The Right Tools to Drive Your Success
Dugopolski’s Precalculus: Functions and Graphs, Fourth Edition gives students the essential strategies they need to make the transition to calculus. Along the way, students see how the algebra connects to their future calculus courses, with tools like Foreshadowing Calculus and Concepts of Calculus. The author’s emphasis on problem solving and critical thinking is enhanced by a new MyMathLab course, where students will find new Video Assessment questions tied to section lecture videos; Getting Ready material to help learn necessary prerequisite skills; Guided Visualizations, and more!
Also available with MyMathLab
MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.
This Media Update features an enhanced MyMathLab course. This © 2017 version of the textbook is completely compatible with the earlier © 2013 version.
Published by Pearson (July 14th 2021) - Copyright © 2013
ISBN-13: 9780137523191
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Table of Contents
- Equations, Inequalities, and Modeling
- 1-1 Equations in One Variable
- 1-2 Constructing Models to Solve Problems
- 1-3 Equations and Graphs in Two Variables
- 1-4 Linear Equations in Two Variables
- 1-5 Scatter Diagrams and Curve Fitting
- 1-6 Complex Numbers
- 1-7 Quadratic Equations
- 1-8 Linear and Absolute Value Inequalities
- Chapter 1 Highlights
- Chapter 1 Review Exercises
- Chapter 1 Test
- Concepts of Calculus: Limits
- Functions and Graphs
- 2-1 Functions
- 2-2 Graphs of Relations and Functions
- 2-3 Families of Functions, Transformations, and Symmetry
- 2-4 Operations with Functions
- 2-5 Inverse Functions
- 2-6 Constructing Functions with Variation
- Chapter 2 Highlights
- Chapter 2 Review Exercises
- Chapter 2 Test
- Tying it all Together
- Concepts of Calculus: Instantaneous Rate of Change
- Polynomial and Rational Functions
- 3-1 Quadratic Functions and Inequalities
- 3-2 Zeroes of Polynomial Functions
- 3-3 The Theory of Equations
- 3-4 Miscellaneous Equations
- 3-5 Graphs of Polynomial Functions
- 3-6 Rational Functions and Inequalities
- Chapter 3 Highlights
- Chapter 3 Review Exercises
- Chapter 3 Test
- Tying it all Together
- Concepts of Calculus: Instantaneous Rate of Change of the Power Functions
- Exponential and Logarithmic Functions
- 4-1 Exponential Functions and Their Applications
- 4-2 Logarithmic Functions and Their Applications
- 4-3 Rules of Logarithms
- 4-4 More Equations and Applications
- Chapter 4 Highlights
- Chapter 4 Review Exercises
- Chapter 4 Test
- Tying it all Together
- Concepts of Calculus: The Instantaneous Rate of Change of f(x)= ex
- The Trigonometric Functions
- 5-1 Angles and Their Measurements
- 5-2 The Sine and Cosine Functions
- 5-3 The Graphs of the Sine and Cosine Functions
- 5-4 The Other Trigonometric Functions and Their Graphs
- 5-5 The Inverse Trigonometric Functions
- 5-6 Right Triangle Trigonometry
- Chapter 5 Highlights
- Chapter 5 Review Exercises
- Chapter 5 Test
- Tying it all Together
- Concepts of Calculus: Evaluating Transcendental Functions
- Trigonometric Identities and Conditional Equations
- 6-1 Basic Identities
- 6-2 Verifying Identities
- 6-3 Sum and Difference Identities
- 6-4 Double-Angle and Half-Angle Identities
- 6-5 Product and Sum Identities
- 6-6 Conditional Trigonometric Functions
- Chapter 6 Highlights
- Chapter 6 Review Exercises
- Chapter 6 Test
- Tying it all Together
- Concepts of Calculus: Area of A Circle and n
- Applications of Trigonometry
- 7-1 The Law of Sines
- 7-2 The Law of Cosines
- 7-3 Vectors
- 7-4 Trigonometric Form of Complex Numbers
- 7-5 Powers and Roots of Complex and Numbers
- 7-6 Polar Equations
- Chapter 7 Highlights
- Chapter 7 Review Exercises
- Chapter 7 Test
- Tying it all Together
- Concepts of Calculus: Limits and Asymptotes
- Systems of Equations and Inequalities
- 8-1 Systems of Linear Equations in Two Variables
- 8-2 Systems of Linear Equations in Three Variables
- 8-3 Nonlinear Systems of Inequalities
- 8-4 Partial Fractions
- 8-5 Inequalities and Systems of Inequalities in Two Variables
- 8-6 The Linear Programming Model
- Chapter 8 Highlights
- Chapter 8 Review Exercises
- Chapter 8 Test
- Tying it all Together
- Concepts of Calculus: Instantaneous Rate of Change and Partial Fractions
- Matrices and Determinants
- 9-1 Solving Linear Systems Using Matrices
- 9-2 Operations with Matrices
- 9-3 Multiplication of Matrices
- 9-4 Inverses of Matrices
- 9-5 Solution of Linear Systems in Two Variables Using Determinants
- 9-6 Solution of Linear Systems in Three Variables Using Determinants
- Chapter 9 Highlights
- Chapter 9 Review Exercises
- Chapter 9 Test
- Tying it all Together
- The Conic Series
- 10-1 The Parabola
- 10-2 The Ellipse and the Circle
- 10-3 The Hyperbola
- 10-4 Rotation of Axes
- 10-5 Polar Equations of the Conics
- Chapter 10 Highlights
- Chapter 10 Review Exercises
- Chapter 10 Test
- Tying it all Together
- Concepts of Calculus: The Reflection Property of a Parabola
- Sequences, Series, and Probability
- 11-1 Sequences
- 11-2 Series
- 11-3 Geometric Sequences and Series
- 11-4 Counting and Permutations
- 11-5 Combinations, Labeling, and the Binomial Theorem
- 11-6 Probability
- 11-7 Mathematical Induction
- Chapter 11 Highlights
- Chapter 11 Review Exercises
- Chapter 11 Test
- Concepts of Calculus: Limits of Sequences
A. Appendix: Solutions to Try This Exercises
B. Appendix: Basic Algebra Review
- B-1 Real Numbers and Their Properties
- B-2 Exponents and Radicals
- B-3 Polynomials
- B-4 Factorials Polynomials
- B-5 Rational Expressions
Credits
Answers to Selected Exercises
Index of Applications
Index
Your questions answered
Pearson+ is a one-stop shop for eTextbooks and Study & Exam Prep (also referred to as Channels), both designed to help students get better grades in college. eTextbooks and Study & Exam Prep can be purchased separately or together. eTextbooks have built-in tools that simplify studying, like flashcards, audiobook and search. Study & Exam Prep includes video lessons, practice problems, study guides, Q&A with experts and more, to help you understand tricky topics and get you prepared for test time — all in one place.
A Pearson eTextbook is an easy-to-use digital version of your assigned textbook. eTextbooks, available in Pearson+, give you access to upgraded study tools, including enhanced search, highlights and notes, customizable flashcards, and audio options for hand-free studying. Plus, you can learn on the go with the Pearson+ app.
Pearson+ offers an eTextbook rental, billed as a 6-month subscription. A subscription includes instant access to your eTextbook, including study tools such as the ability to create custom flash cards, take notes, and the option to search and highlight important info in your eTextbook. You can also bundle your eTextbook with Study & Exam Prep. When you check out, you can make a one-time, up-front payment for your eTextbook, or you can choose to pay monthly. If you opt for monthly payments, we will charge your payment method each month until your 6-month subscription ends. If something happens and you need your eTextbook for longer than 6 months, select Extend subscription on the Manage subscription page in My account at any time to continue your subscription before it ends.
A Study & Exam Prep subscription includes video lessons, practice problems and other study tools. With a subscription, you'll get unlimited access to the full range of subjects:
When you purchase an eTextbook subscription, it will last 6 months. You can renew your subscription by selecting Extend subscription on the Manage subscription page in My account before your initial term ends. If you extend your subscription, we'll automatically charge you every month. If you made a one-time payment for your initial 6-month term, you'll now pay monthly. To make sure your learning is uninterrupted, please check your card details. To avoid the next payment charge, select Cancel subscription on the Manage subscription page in My account before the renewal date. You can subscribe again in the future by purchasing another eTextbook subscription.
Channels, also referred to as Study & Exam Prep, is a video platform with thousands of explanations, solutions, and practice problems in 19 subjects to help you do homework and prep for exams. Videos are personalized to your course, and tutors walk you through solutions. Plus, interactive AI-powered summaries and a social community help you understand lessons from your class.
Channels doesn't replace traditional textbooks or eTextbooks. It's an additional tool to help you with your studies, and it can be used with Pearson textbooks or non-Pearson textbooks.
When you choose a Channels subscription, you're signing up for a 1-month, 3-month or 12-month term and you make an upfront payment for your subscription. By default, these subscriptions auto-renew at the frequency you select during checkout. You'll have access to the full video library across all 19 subjects once you've subscribed. You can bundle Channels (also referred to as Study & Exam Prep) with your eTextbook at the time of purchase. Bundle subscription terms vary. You can choose your subscription term and payment frequency at checkout.
When you purchase a Channels subscription, it will last 1 month, 3 months or 12 months, depending on the plan you chose. Your subscription will automatically renew at the end of your term unless you cancel it. We use your credit card to renew your subscription automatically. To make sure your learning is uninterrupted, please check your card details. If your payment method fails, we'll send you an email with instructions for how to update it.