Precalculus, Global Edition
For courses in Precalculus. Prepare. Practice. Review. Michael 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. The 11th Edition continues to evolve to meet the needs o...
| Otros Autores: | |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Harlow :
Pearson Education Limited
[2023]
|
| Edición: | Eleventh edition |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009771834906719 |
Tabla de Contenidos:
- Cover
- To the Student
- Prepare for Class "Read the Book"
- Practice "Work the Problems"
- Review "Study for Quizzes and Tests"
- Dedication
- Title Page
- Copyright
- Contents
- Three Distinct Series
- The Flagship Series
- Preface to the Instructor
- Get the Most Out of MyLab Math
- Resources for Success
- Applications Index
- Chapter 1. Graphs
- 1.1 The Distance and Midpoint Formulas
- Use the Distance Formula
- Use the Midpoint Formula
- 1.2 Graphs of Equations in Two Variables
- Intercepts
- Symmetry
- Graph Equations by Plotting Points
- Find Intercepts from a Graph
- Find Intercepts from an Equation
- Test an Equation for Symmetry with Respect to the x-Axis, the y-Axis, and the Origin
- Know How to Graph Key Equations
- 1.3 Lines
- 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
- Use the Slope-Intercept Form of a Line
- 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
- 1.4 Circles
- Write the Standard Form of the Equation of a Circle
- Graph a Circle
- Work with the General Form of the Equation of a Circle
- Chapter Review
- Chapter Test
- Chapter Project
- Chapter 2. Functions and Their Graphs
- 2.1 Functions
- Describe a Relation
- Determine Whether a Relation Represents a Function
- Use Function Notation
- 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
- 2.2 The Graph of a Function
- Identify the Graph of a Function.
- Obtain Information from or about the Graph of a Function
- 2.3 Properties of Functions
- Identify 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
- 2.4 Library of Functions
- Piecewise-defined Functions
- Graph the Functions Listed in the Library of Functions
- Analyze a Piecewise-defined Function
- 2.5 Graphing Techniques: Transformations
- 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
- 2.6 Mathematical Models: Building Functions
- Build and Analyze Functions
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
- Chapter 3. Linear and Quadratic Functions
- 3.1 Properties of Linear Functions and Linear Models
- 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
- 3.2 Building Linear Models from Data
- Draw and Interpret Scatter Plots
- Distinguish between Linear and Nonlinear Relations
- Use a Graphing Utility to Find the Line of Best Fit
- 3.3 Quadratic Functions and Their Properties
- Graph a Quadratic Function Using Transformations
- Identify the Vertex and Axis of Symmetry of a Parabola
- 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
- 3.4 Building Quadratic Models from Verbal Descriptions and from Data
- Build Quadratic Models from Verbal Descriptions
- Build Quadratic Models from Data
- 3.5 Inequalities Involving Quadratic Functions
- Solve Inequalities Involving a Quadratic Function
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
- Chapter 4. Polynomial and Rational Functions
- 4.1 Polynomial Functions
- Identify Polynomial Functions and Their Degree
- Graph Polynomial Functions Using Transformations
- Identify the Real Zeros of a Polynomial Function and Their Multiplicity
- 4.2 Graphing Polynomial Functions
- Models
- Graph a Polynomial Function
- Graph a Polynomial Function Using a Graphing Utility
- Build Cubic Models from Data
- 4.3 Properties of Rational Functions
- Find the Domain of a Rational Function
- Find the Vertical Asymptotes of a Rational Function
- Find a Horizontal or an Oblique Asymptote of a Rational Function
- 4.4 The Graph of a Rational Function
- Graph a Rational Function
- Solve Applied Problems Involving Rational Functions
- 4.5 Polynomial and Rational Inequalities
- Solve Polynomial Inequalities
- Solve Rational Inequalities
- 4.6 The Real Zeros of a Polynomial Function
- 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
- 4.7 Complex Zeros
- Fundamental Theorem of Algebra
- Use the Conjugate Pairs Theorem.
- Find a Polynomial Function with Specified Zeros
- Find the Complex Zeros of a Polynomial Function
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
- Chapter 5. Exponential and Logarithmic Functions
- 5.1 Composite Functions
- Form a Composite Function
- Find the Domain of a Composite Function
- 5.2 One-to-One Functions
- Inverse Functions
- Determine Whether a Function Is One-to-One
- Obtain the Graph of the Inverse Function from the Graph of a One-to-One Function
- Verify an Inverse Function
- Find the Inverse of a Function Defined by an Equation
- 5.3 Exponential Functions
- Evaluate Exponential Functions
- Graph Exponential Functions
- Define the Number e
- Solve Exponential Equations
- 5.4 Logarithmic Functions
- 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
- 5.5 Properties of Logarithms
- 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 Logarithms Whose Base Is Neither 10 Nor e
- 5.6 Logarithmic and Exponential Equations
- Solve Logarithmic Equations
- Solve Exponential Equations
- Solve Logarithmic and Exponential Equations Using a Graphing Utility
- 5.7 Financial Models
- 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
- 5.8 Exponential Growth and Decay Models
- Newton's Law
- Logistic Growth and Decay Models
- Model Populations That Obey the Law of Uninhibited Growth.
- Model Populations That Obey the Law of Uninhibited Decay
- Use Newton's Law of Cooling
- Use Logistic Models
- 5.9 Building Exponential, Logarithmic, and Logistic Models from Data
- Build an Exponential Model from Data
- Build a Logarithmic Model from Data
- Build a Logistic Model from Data
- Chapter Review
- Chapter Test
- Cumulative Review
- Chapter Projects
- Chapter 6. Trigonometric Functions
- 6.1 Angles, Arc Length, and Circular Motion
- Angles and Degree Measure
- Convert between Decimal and Degree, Minute, Second Measures for Angles
- Find the Length of an Arc of a Circle
- Convert from Degrees to Radians and from Radians to Degrees
- Find the Area of a Sector of a Circle
- Find the Linear Speed of an Object Traveling in Circular Motion
- 6.2 Trigonometric Functions: Unit Circle Approach
- Find the Exact Values of the Trigonometric Functions Using a Point on the Unit Circle
- Find the Exact Values of the Trigonometric Functions of Quadrantal Angles
- Find the Exact Values of the Trigonometric Functions of π/4 = 45°
- Find the Exact Values of the Trigonometric Functions of π/6 = 30° and π/3 = 60°
- Find the Exact Values of the Trigonometric Functions for Integer Multiples of π/6 = 30°, π/4 = 45°, and π/3 = 60°
- Use a Calculator to Approximate the Value of a Trigonometric Function
- Use a Circle of Radius r to Evaluate the Trigonometric Functions
- 6.3 Properties of the Trigonometric Functions
- Determine the Domain and the Range of the Trigonometric Functions
- Determine the Period of the Trigonometric Functions
- Determine the Signs of the Trigonometric Functions in a Given Quadrant
- Find the Values of the Trigonometric Functions Using Fundamental Identities
- Find the Exact Values of the Trigonometric Functions of an Angle Given One of the Functions and the Quadrant of the Angle.
- Use Even-Odd Properties to Find the Exact Values of the Trigonometric Functions.
