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College Algebra Enhanced with Graphing Utilities 7th edition [Kietas viršelis]

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  • Formatas: Hardback, 864 pages, aukštis x plotis x storis: 100x100x100 mm, weight: 100 g
  • Išleidimo metai: 14-Feb-2018
  • Leidėjas: Pearson
  • ISBN-10: 0134111311
  • ISBN-13: 9780134111315
Kitos knygos pagal šią temą:
College Algebra Enhanced with Graphing Utilities 7th editionDidesnis paveikslėlis
  • Formatas: Hardback, 864 pages, aukštis x plotis x storis: 100x100x100 mm, weight: 100 g
  • Išleidimo metai: 14-Feb-2018
  • Leidėjas: Pearson
  • ISBN-10: 0134111311
  • ISBN-13: 9780134111315
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9780134111315.html
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For courses in college algebra.

Prepare, Practice, Review

The Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course:preparing for class, practicing with homework, and reviewing the concepts. TheEnhanced with Graphing Utilities Series has evolved to meet today’s course needs by integrating the usage of graphing calculators, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors.

 

In the Seventh Edition, there are several new features that appear in both the text and MyMathLab.Retain Your Knowledge problems offer the type of “final exam material” that students can use to maintain their skills throughout each chapter.

 

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.NEW! Guided Lecture Notes help students take thorough, organized, and understandable notes during class or while they watch the Author in Action videos. They ask students to complete definitions, procedures, and examples based on the content of the videos and text.

 

Note: You are purchasing a standalone product; MyLab™ & Mastering™ does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.


If you would like to purchase both the physical text and MyLab & Mastering, search for:


0134265130 / 9780134265131 * College Algebra Enhanced with Graphing Utilities Plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:

  • 0134111311 / 9780134111315 * College Algebra Enhanced with Graphing Utilities
  • 0321431308 / 9780321431301 * MyMathLab -- Glue-in Access Card
  • 0321654064 / 9780321654069 * MyMathLab Inside Star Sticker
Three Distinct Series xvi
The Enhanced with Graphing Utilities Series xvii
Preface to the Instructor xviii
Resources for Success xxiv
To the Student xxvi
R Review 1(81)
R.1 Real Numbers
2(16)
Work with Sets
Classify Numbers
Evaluate Numerical Expressions
Work with Properties of Real Numbers
R.2 Algebra Essentials
18(13)
Graph Inequalities
Find Distance on the Real Number Line
Evaluate Algebraic Expressions
Determine the Domain of a Variable
Use the Laws of Exponents
Evaluate Square Roots
Use a Calculator to Evaluate Exponents
Use Scientific Notation
R.3 Geometry Essentials
31(9)
Use the Pythagorean Theorem and Its Converse
Know Geometry Formulas
Understand Congruent Triangles and Similar Triangles
R.4 Polynomials
40(10)
Recognize Monomials
Recognize Polynomials
Add and Subtract Polynomials
Multiply Polynomials
Know Formulas for Special Products
Divide Polynomials Using Long Division
Work with Polynomials in Two Variables
R.5 Factoring Polynomials
50(9)
Factor the Difference of Two Squares and the Sum and Difference of Two Cubes
Factor Perfect Squares
Factor a Second-Degree
Polynomial: x2 + Bx + C
Factor by Grouping
Factor a Second-Degree Polynomial: Ax2 + Bx + C, A does not equal 1
Complete the Square
R.6 Synthetic Division
59(4)
Divide Polynomials Using Synthetic Division
R.7 Rational Expressions
63(11)
Reduce a Rational Expression to Lowest Terms
Multiply and Divide Rational Expressions
Add and Subtract Rational Expressions
Use the Least Common Multiple Method
Simplify Complex Rational Expressions
R.8 nth Roots; Rational Exponents
74(8)
Work with nth Roots
Simplify Radicals
Rationalize Denominators
Simplify Expressions with Rational Exponents
1 Graphs, Equations, and Inequalities 82(82)
1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations
83(16)
Use the Distance Formula
Use the Midpoint Formula
Graphing Equations by Plotting Points
Graph Equations Using a Graphing Utility
Use a Graphing Utility to Create Tables
Find Intercepts from a Graph
Use a Graphing Utility to Approximate Intercepts
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations
99(11)
Solve Equations Using a Graphing Utility
Solve Linear Equations
Solve Rational Equations
Solve Problems That Can Be Modeled by Linear Equations
1.3 Quadratic Equations
110(11)
Solve Quadratic Equations by Factoring
Solve Quadratic Equations Using the Square Root Method
Solve Quadratic Equations by Completing the Square
Solve Quadratic Equations Using the Quadratic Formula
Solve Problems That Can Be Modeled by Quadratic Equations
1.4 Complex Numbers; Quadratic Equations in the Complex Number System
121(8)
Add, Subtract, Multiply, and Divide Complex Numbers
Solve Quadratic Equations in the Complex Number System
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
129(8)
Solve Radical Equations
Solve Equations Quadratic in Form
Solve Absolute Value Equations
Solve Equations by Factoring
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
137(9)
Translate Verbal Descriptions into Mathematical Expressions
Solve Interest Problems
Solve Mixture Problems
Solve Uniform Motion Problems
Solve Constant Rate Job Problems
1.7 Solving Inequalities
146(12)
Use Interval Notation
Use Properties of Inequalities
Solve Linear Inequalities Algebraically and Graphically
Solve Combined Inequalities Algebraically and Graphically
Solve Absolute Value Inequalities Algebraically and Graphically
Chapter Review
158(4)
Chapter Test
162(1)
Chapter Projects
163(1)
2 Graphs 164(42)
2.1 Intercepts: Symmetry; Graphing Key Equations
165(8)
Find Intercepts Algebraically from an Equation
Test an Equation for Symmetry
Know How to Graph Key Equations
2.2 Lines
173(16)
Calculate and Interpret the Slope of a Line
Graph Lines Given a Point and the Slope
Find the Equation of a Vertical Line
Use the Point-Slope Form of a Line; Identify Horizontal Lines
Write the Equation of a Line in Slope-Intercept Form
Find the Equation of a Line Given Two Points
Graph Lines Written in General Form Using Intercepts
Find Equations of Parallel Lines
Find Equations of Perpendicular Lines
2.3 Circles
189(7)
Write the Standard Form of the Equation of a Circle
Graph a Circle by Hand and by Using a Graphing Utility
Work with the General Form of the Equation of a Circle
2.4 Variation
196(6)
Construct a Model Using Direct Variation
Construct a Model Using Inverse Variation
Construct a Model Using Joint Variation or Combined Variation
Chapter Review
202(2)
Chapter Test
204(1)
Cumulative Review
204(1)
Chapter Project
205(1)
3 Functions and Their Graphs 206(74)
3.1 Functions
207(15)
Determine Whether a Relation Represents a Function
Find the Value of a Function
Find the Difference Quotient of a Function
Find the Domain of a Function Defined by an Equation
Form the Sum, Difference, Product, and Quotient of Two Functions
3.2 The Graph of a Function
222(9)
Identify the Graph of a Function
Obtain Information from or about the Graph of a Function
3.3 Properties of Functions
231(14)
Determine Even and Odd Functions from a Graph
Identify Even and Odd Functions from an Equation
Use a Graph to Determine Where a Function Is Increasing, Decreasing, or Constant
Use a Graph to Locate Local Maxima and Local Minima
Use a Graph to Locate the Absolute Maximum and the Absolute Minimum
Use a Graphing Utility to Approximate Local
Maxima and Local Minima and to Determine Where a Function Is Increasing or Decreasing
Find the Average Rate of Change of a Function
3.4 Library of Functions; Piecewise-defined Functions
245(11)
Graph the Functions Listed in the Library of Functions
Graph Piecewise-defined Functions
3.5 Graphing Techniques: Transformations
256(12)
Graph Functions Using Vertical and Horizontal Shifts
Graph Functions Using Compressions and Stretches
Graph Functions Using Reflections about the x-Axis and the y-Axis
3.6 Mathematical Models: Building Functions
268(5)
Build and Analyze Functions
Chapter Review
273(4)
Chapter Test
277(1)
Cumulative Review
278(1)
Chapter Projects
278(2)
4 Linear and Quadratic Functions 280(50)
4.1 Properties of Linear Functions and Linear Models
281(10)
Graph Linear Functions
Use Average Rate of Change to Identify Linear Functions
Determine Whether a Linear Function Is Increasing, Decreasing, or Constant
Build Linear Models from Verbal Descriptions
4.2 Building Linear Models from Data
291(7)
Draw and Interpret Scatter Diagrams
Distinguish between Linear and Nonlinear Relations
Use a Graphing Utility to Find the Line of Best Fit
4.3 Quadratic Functions and Their Properties
298(12)
Graph a Quadratic Function Using Transformations
Identify the Vertex and Axis of Symmetry of a Quadratic Function
Graph a Quadratic Function Using Its Vertex, Axis, and Intercepts
Find a Quadratic Function Given Its Vertex and One Other Point
Find the Maximum or Minimum Value of a Quadratic Function
4.4 Build Quadratic Models from Verbal Descriptions and from Data
310(10)
Build Quadratic Models from Verbal Descriptions
Build Quadratic Models from Data
4.5 Inequalities Involving Quadratic Functions
320(4)
Solve Inequalities Involving a Quadratic Function
Chapter Review
324(3)
Chapter Test
327(1)
Cumulative Review
328(1)
Chapter Projects
329(1)
5 Polynomial and Rational Functions 330(77)
5.1 Polynomial Functions and Models
331(20)
Identify Polynomial Functions and Their Degree
Graph Polynomial Functions Using Transformations
Identify the Real Zeros of a Polynomial Function and Their Multiplicity
Analyze the Graph of a Polynomial Function
Build Cubic Models from Data
5.2 The Real Zeros of a Polynomial Function
351(15)
Use the Remainder and Factor Theorems
Use Descartes' Rule of Signs to Determine the Number of Positive and the Number of Negative Real Zeros of a Polynomial Function
Use the Rational Zeros Theorem to List the Potential Rational Zeros of a Polynomial Function
Find the Real Zeros of a Polynomial Function
Solve Polynomial Equations
Use the Theorem for Bounds on Zeros
Use the Intermediate Value Theorem
5.3 Complex Zeros; Fundamental Theorem of Algebra
366(6)
Use the Conjugate Pairs Theorem
Find a Polynomial Function with Specified Zeros
Find the Complex Zeros of a Polynomial Function
5.4 Properties of Rational Functions
372(10)
Find the Domain of a Rational Function
Find the Vertical Asymptotes of a Rational Function
Find the Horizontal or Oblique Asymptote of a Rational Function
5.5 The Graph of a Rational Function
382(11)
Analyze the Graph of a Rational Function
Solve Applied Problems Involving Rational Functions
5.6 Polynomial and Rational Inequalities
393(7)
Solve Polynomial Inequalities Algebraically and Graphically
Solve Rational Inequalities Algebraically and Graphically
Chapter Review
400(4)
Chapter Test
404(1)
Cumulative Review
404(1)
Chapter Projects
405(2)
6 Exponential and Logarithmic Functions 407(106)
6.1 Composite Functions
408(8)
Form a Composite Function
Find the Domain of a Composite Function
6.2 One-to-One Functions; Inverse Functions
416(12)
Determine Whether a Function Is One-to-One
Determine the Inverse of a Function Defined by a Map or a Set of Ordered Pairs
Obtain the Graph of the Inverse Function from the Graph of the Function
Find the Inverse of a Function Defined by an Equation
6.3 Exponential Functions
428(17)
Evaluate Exponential Functions
Graph Exponential Functions
Define the Number e
Solve Exponential Equations
6.4 Logarithmic Functions
445(13)
Change Exponential Statements to Logarithmic Statements and Logarithmic Statements to Exponential Statements
Evaluate Logarithmic Expressions
Determine the Domain of a Logarithmic Function
Graph Logarithmic Functions
Solve Logarithmic Equations
6.5 Properties of Logarithms
458(9)
Work with the Properties of Logarithms
Write a Logarithmic Expression as a Sum or Difference of Logarithms
Write a Logarithmic Expression as a Single Logarithm
Evaluate a Logarithm Whose Base Is Neither 10 Nor e
Graph a Logarithmic Function Whose Base Is Neither 10 Nor e
6.6 Logarithmic and Exponential Equations
467(8)
Solve Logarithmic Equations
Solve Exponential Equations
Solve Logarithmic and Exponential Equations Using a Graphing Utility
6.7 Financial Models
475(9)
Determine the Future Value of a Lump Sum of Money
Calculate Effective Rates of Return
Determine the Present Value of a Lump Sum of Money
Determine the Rate of Interest or the Time Required to Double a Lump Sum of Money
6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
484(11)
Find Equations of Populations That Obey the Law of Uninhibited Growth
Find Equations of Populations That Obey the Law of Decay
Use Newton's Law of Cooling
Use Logistic Models
6.9 Building Exponential, Logarithmic, and Logistic Models from Data
495(9)
Build an Exponential Model from Data
Build a Logarithmic Model from Data
Build a Logistic Model from Data
Chapter Review
504(5)
Chapter Test
509(1)
Cumulative Review
510(1)
Chapter Projects
511(2)
7 Analytic Geometry 513(40)
7.1 Conics
514(1)
Know the Names of the Conics
7.2 The Parabola
515(10)
Analyze Parabolas with Vertex at the Origin
Analyze Parabolas with Vertex at (h, k)
Solve Applied Problems Involving Parabolas
7.3 The Ellipse
525(11)
Analyze Ellipses with Center at the Origin
Analyze Ellipses with Center at (h, k)
Solve Applied Problems Involving Ellipses
7.4 The Hyperbola
536(14)
Analyze Hyperbolas with Center at the Origin
Find the Asymptotes of a Hyperbola
Analyze Hyperbolas with Center at (h, k)
Solve Applied Problems Involving Hyperbolas
Chapter Review
550(1)
Chapter Test
551(1)
Cumulative Review
551(1)
Chapter Projects
552(1)
8 Systems of Equations and Inequalities 553(100)
8.1 Systems of Linear Equations: Substitution and Elimination
554(15)
Solve Systems of Equations by Substitution
Solve Systems of Equations by Elimination
Identify Inconsistent Systems of Equations Containing Two Variables
Express the Solution of a System of Dependent Equations Containing 'No Variables
Solve Systems of Three Equations Containing Three Variables
Identify Inconsistent Systems of Equations Containing Three Variables
Express the Solution of a System of Dependent Equations Containing Three Variables
8.2 Systems of Linear Equations: Matrices
569(16)
Write the Augmented Matrix of a System of Linear Equations
Write the System of Equations from the Augmented Matrix
Perform Row Operations on a Matrix
Solve a System of Linear Equations Using Matrices
8.3 Systems of Linear Equations: Determinants
585(10)
Evaluate 2 by 2 Determinants
Use Cramer's Rule to Solve a System of Two Equations Containing Two Variables
Evaluate 3 by 3 Determinants
Use Cramer's Rule to Solve a System of Three Equations Containing Three Variables
Know Properties of Determinants
8.4 Matrix Algebra
595(17)
Find the Sum and Difference of Two Matrices
Find Scalar Multiples of a Matrix
Find the Product of Two Matrices
Find the Inverse of a Matrix
Solve a System of Linear Equations Using an Inverse Matrix
8.5 Partial Fraction Decomposition
612(8)
Decompose P/Q, Where Q Has Only Nonrepeated Linear Factors
Decompose P/Q, Where Q Has Repeated Linear Factors
Decompose P/Q, Where Q Has a Nonrepeated Irreducible Quadratic Factor
Decompose P/Q, Where Q Has a Repeated Irreducible Quadratic Factor
8.6 Systems of Nonlinear Equations
620(10)
Solve a System of Nonlinear Equations Using Substitution
Solve a System of Nonlinear Equations Using Elimination
8.7 Systems of Inequalities
630(9)
Graph an Inequality by Hand
Graph an Inequality Using a Graphing Utility
Graph a System of Inequalities
8.8 Linear Programming
639(7)
Set Up a Linear Programming Problem
Solve a Linear Programming Problem
Chapter Review
646(4)
Chapter Test
650(1)
Cumulative Review
651(1)
Chapter Projects
652(1)
9 Sequences; Induction; the Binomial Theorem 653(46)
9.1 Sequences
654(13)
Write the First Several Terms of a Sequence
Write the Terms of a Sequence Defined by a Recursive Formula
Use Summation Notation
Find the Sum of a Sequence Algebraically and Using a Graphing Utility
Solve Annuity and Amortization Problems
9.2 Arithmetic Sequences
667(7)
Determine Whether a Sequence Is Arithmetic
Find a Formula for an Arithmetic Sequence
Find the Sum of an Arithmetic Sequence
9.3 Geometric Sequences; Geometric Series
674(10)
Determine Whether a Sequence Is Geometric
Find a Formula for a Geometric Sequence
Find the Sum of a Geometric Sequence
Determine Whether a Geometric Series Converges or Diverges
9.4 Mathematical Induction
684(4)
Prove Statements Using Mathematical Induction
9.5 The Binomial Theorem
688(6)
Evaluate (nj)
Use the Binomial Theorem
Chapter Review
694(3)
Chapter Test
697(1)
Cumulative Review
697(1)
Chapter Projects
698(1)
10 Counting and Probability 699
10.1 Counting
700(5)
Find All the Subsets of a Set
Count the Number of Elements in a Set
Solve Counting Problems Using the Multiplication Principle
10.2 Permutations and Combinations
705(9)
Solve Counting Problems Using Permutations Involving n Distinct Objects
Solve Counting Problems Using Combinations
Solve Counting Problems Using Permutations Involving n Nondistinct Objects
10.3 Probability
714(10)
Construct Probability Models
Compute Probabilities of Equally Likely Outcomes
Find Probabilities of the Union of Two Events
Use the Complement Rule to Find Probabilities
Chapter Review
724(2)
Chapter Test
726(1)
Cumulative Review
727(1)
Chapter Projects
727
Answers AN1
Credits C1
Index I1
Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before recently retiring. He is a native of Chicago's South Side and divides his time between Oak Lawn, Illinois, and Naples, Florida. Mike is a member of the American Mathematical Society and the Mathematical Association of America. He is a past president of the Text and Academic Authors Association and is currently Treasurer of its Foundation. He is a member of the TAA Council of Fellows, and was awarded the TAA Mike Keedy award in 1997 and the Lifetime Achievement Award in 2007. In addition, he represents TAA on the Authors Coalition of America. Mike has been writing textbooks for more than 35 years and currently has 15 books in print, 12 with Pearson Education. When not writing, he enjoys tennis, golf, gardening, and travel. Mike has four children: Kathleen teaches college mathematics; Michael III teaches college mathematics and is his co-author on two precalculus series; Dan works in publishing; and Colleen teaches middle school and secondary school mathematics. Twelve grandchildren round out the family. Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer, who tries to spend as much of his limited free time as possible on the golf course.