This material is referenced by Algebra Review and Geometry Review margin notes. This material is referenced by Calculator Help notes in the margins of the text. Cumulative Reviews , which appear every few chapters, require students to understand and use multiple skills from different chapters.
This is an excellent test of comprehension of key concepts in the course. New to This Edition. Getting Started pointers helps students develop an overall problem-solving strategy before they begin writing a detailed solution. These appear in examples that require multistep solutions. Word problems now contain hints so that students know the first step to take in solving them. Appendix C, Partial Fractions is included for students who need this topic for calculus.
Enhanced and Updated Features Hundreds of new examples and exercises have been added throughout the text. Each exercise set has been carefully revised to ensure that there are sufficient types of exercises for each example and mathematical concept. Exercise sets are carefully graded with several levels of difficulty. Changes to the Content and Organization Chapter 1 has been expanded from four sections to five sections.
Increasing and decreasing functions, average rate of change, and the difference quotients are discussed in Section 1.
Circles now appear in Section 1. In Chapter 2, piecewise-linear functions are now discussed earlier in Section 2. Chapter 4 has been expanded and reorganized from seven to eight sections, making it easier to cover one section per class. Division of polynomials and real zeros of polynomial functions are now in separate sections.
Several topics, such as rational functions, have been revised and enhanced. In Chapter 5 the change of base formula is now presented in Section 5. The first two sections in Chapter 6 have been reorganized so that systems of equations are discussed in Section 6. Substitution and elimination are both presented in Section 6. In Chapter R, additional problems involving factoring and rational expressions have been included.
The following is a partial list of topics that have been added or enhanced. Order of operations Rational functions and expressions Factoring Interpolation and extrapolation Modeling real data Graphing rational functions by hand Concavity.
Table of Contents 1. Introduction to Functions and Graphs 1. Linear Functions and Equations 2. Dual Solution Format Selected examples provide side-by-side analytic and graphing calculator solutions to connect traditional analytic methods for solving problems with graphical methods of solution or support. Some of these examples are now marked with an icon to indicate that additional information on the graphing calculator solution is included in the Graphing Calculator Manual that accompanies the text.
The number of photos accompanying applications in examples and exercises is almost double the number in the previous edition. Function Capsules These special boxes offer a comprehensive, visual introduction to each class of function and serve as an excellent resource for reference and review. Each capsule includes traditional and calculator graphs and a calculator table of values, as well as the domain, range, and other specific information about the function.
Abbreviated versions of all function capsules are provided on the inside back cover of the text. What Went Wrong? This popular feature anticipates typical errors that students make when using graphing technology and provides an avenue for instructors to highlight and discuss such errors.
Answers are included on the same page as the What Went Wrong? Cautions and Notes These warn students of common errors and emphasize important ideas throughout the exposition. Looking Ahead to Calculus These margin notes provide glimpses of how the algebraic topics currently being studied are used in calculus. Technology Notes Also appearing in the margin, these notes provide tips to students on how to use graphing calculators more effectively.
Some notes are now marked with an icon to indicate that additional information on graphing technology is included in the Graphing Calculator Manual that accompanies the text. For Discussion These appear within the exposition or in the margins and suggest ideas for instructors and students to investigate or discuss in class.
Exercise Sets We have taken special care to respond to the suggestions of users and reviewers and have added about new exercises to this edition based on their feedback. As a result, the text includes more problems than ever to provide students with ample opportunities to practice, apply, connect, and extend concepts and skills. Concept Check problems focus on mathematical thinking and conceptual understanding. Relating Concepts Appearing in selected exercise sets, these groups of exercises tie together topics and highlight relationships among various concepts and skills.
All answers to these problems appear in the answer section at the back of the book. Reviewing Basic Concepts These sets of exercises, in selected sections, allow students to review and check their understanding of the material in preceding sections. All answers to these problems are included in the answer section. Chapter Reviews One of the most popular features of the text, each end-of-chapter Summary features a section-by-section list of Key Terms and Symbols in addition to Key Concepts.
A comprehensive set of Review Exercises and a Chapter Test are also included. Chapter Projects Each chapter concludes with a project that students can complete individually or collaboratively using the material from the chapter. New to This Edition. Some of the changes you may notice include the following: There are approximately additional exercises, many devoted to skill development.
Graphing by hand has been expanded throughout the text. There has been an increased focus on getting students to make an estimate at the conclusion of a variety of application examples and exercises, to help show how modeling is used in the real world. Real-world data in over 75 applications has been updated. In addition to his teaching experience in the United States, Terry has taught mathematics in Tasmania, Australia, and in a rural school in Swaziland, Africa, where he served as a Peace Corps volunteer.
Terry has been involved with various aspects of mathematics textbook publication throughout his career. In his free time, Terry enjoys spending time with his wife and two boys, physical fitness, wilderness camping, and trout fishing.
We're sorry! We don't recognize your username or password. Please try again. The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning.
You have successfully signed out and will be required to sign back in should you need to download more resources. Gary K. Krieger, Rochester Community and Technical College. Availability Available. The new Connecting Concepts with Your Life feature gives meaning to mathematics by relating common life experiences that students already understand NEW! Math in Context engages students by connecting mathematics to current and relevant topics.
Applications engage students by connecting mathematics to current and relevant topics. Several new examples have been added that discuss the mathematics of the Internet, social networking, tablet computers, and other contemporary topics NEW!
Modeling Data in hundreds of exercises and examples offer students the chance to model real and relevant data with their own functions NEW! Online Exploration exercises invite students to find their own data on the Internet and use mathematics to analyze it.
See the Concept presents a concise, visual overview of topics that were previously written out as text. Visualizing the math makes it accessible to all students. Companion See the Concept videos in MyLab Math, presented by the authors, help bring the concept to life.
Each See the Concept video also has accompanying MyLab Math assessment questions, making these videos truly assignable Putting It All Together boxes at the end of each section summarize techniques and reinforce the mathematical concepts presented in the section and are also available to be assigned in MyLab Math NEW!
Comment Balloons appear next to steps and procedures to make them more immediately understandable Learning the Math from Multiple Perspectives presents concepts by means of verbal, graphical, numerical, and symbolic representations to support multiple learning styles and problem-solving methods. New Vocabulary is listed at the start of every section, highlighting the math concepts that are introduced in that section. This gives students a glimpse of the big picture of the section and helps with test preparation Reading Check questions appear alongside important concepts, ensuring that students understand the material they have just read.
These are located throughout every section. Many Making Connections exercises are assignable in MyLab Math Critical Thinking exercises are included in most sections, posing questions that can be used for class discussion, group work, or homework assignments. Guided Workbook is keyed to the text by section and objective and leads students through the course, giving them the opportunity to record key information, work practice problems, and show and keep their work for reference—as well as taking conceptual understanding one step further by asking students to explain Why?
Now Try exercises follow every example for immediate reinforcement of the skills and concepts NEW! Objective Lists at the beginning of each section give a clear outline of the section contents, making it easier to customize the course Concepts and Vocabulary exercises appear in every section Checking Basic Concepts exercises appear after every other section and can be used for individual or group review.
These exercises require 10—20 minutes to complete and are also appropriate for in-class work. Thinking Generally encourage students to synthesize what they have just learned with open-ended conceptual questions that appear in most section exercise sets.
Writing about Mathematics exercises appear at the end of most sections. Students are asked to explain the concepts behind the mathematical procedures they just learned in their own words, encouraging true understanding instead of simple rote memorization. Group Activities appear once or twice per chapter and provide an opportunity for students to work collaboratively on a problem that involves real-world data. Most activities can be completed with limited use of class time.
Using a Graphing Calculator Graphing Calculator Exercise icons denote an optional exercise that requires students to have access to a graphing calculator. Technology Notes throughout the text are optional notes that offer students guidance, suggestions, and caution. Study Tips offer just-in-time suggestions to help students stay organized and focused on the material at hand Chapter Summary combines key terms, topics, and procedures with illuminating examples to assist students as they prepare for the test with a quick but thorough review Chapter Review Exercises requires students to work exercises and gain confidence while mastering the material Chapter Tests provide students with rehearsal for the real thing and help reduce math anxiety.
Chapter Test Prep Videos offer additional help by showing an instructor working through the step-by-step solutions to every exercise in each Chapter Test Cumulative Review Exercises Starting with Chapter 2 and appearing in all subsequent chapters, Cumulative Review Exercises help students see the big picture of math by reviewing topics and skills they have already learned.
Also Available with MyLab Math. See the Concept videos , created entirely by the authors,bring key concepts to life by providing a visual overview of each See the Concept feature in the text. Visualizing the math makes the content accessible to all students NEW! Section Introduction videos , also created entirely by the authors, are available for every section of the text.
Video assessment questions are available for all See the Concept and Section Introduction videos. This allows instructors to assign the video and encourage students to watch them to reinforce conceptual understanding.
In addition to end of section exercises, additional content from the text, including many of the Reading Checks, Making Connections, and Critical Thinking features, is available in MyLab Math for instructors to assign NEW! Drag and Drop exercises allow students to manually select elements of the question, such as expressions, words, graphs, or images, and place them into a designated target area.
The learning path encourages students to take advantage of the resources in their course, such as the See the Concept videos, and to review the section, before going right to their assignments NEW! Workspace Assignments allow students to show their mathematical reasoning as they progress step-by-step, with specific feedback at each step in the problem-solving process that adjusts to their path.
When accessed via a mobile device, workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus NEW! Assignments for the integrated review content are preassigned in MyLab Math, making it easier than ever to create your course! Foster student engagement and peer-to-peer learning NEW!
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