College Algebra with Current Interesting Applications and Facts
portes grátis
College Algebra with Current Interesting Applications and Facts
Acosta, Gisela; Karwowski, Margie
Kendall/Hunt Publishing Co ,U.S.
07/2021
277
Mole
Inglês
9781792425752
15 a 20 dias
Descrição não disponível.
Chapter 1 Linear Functions and Mathematical Modeling
1.0 Getting Started
Review: Order of Operations | Solving Linear Equations in One Variable | Graphing Lines | Graphing Calculator Basics | Graphing Lines with the Graphing Calculator | Creating a Table of Values with the Grapher | Interval Notation
1.1 Linear Equations and Intercepts
Intercepts | General Form of a Linear Equation | Graphing Lines Using the Intercepts | Interpreting Intercepts in Different Contexts
1.2 Slope of a Line, Vertical Intercept, and Rate of Change
Concept of Slope | Slope and the Graph of a Line | Slope-Intercept Form of a Line | Slope as Rate of Change
1.3 Functions: Definition, Notation, and Evaluation
Definition of Function | Verbal, Numeric, Symbolic, and Graphical Descriptions of Functions | Domain and Range | Function Notation | Evaluating Functions in Different Contexts
1.4 Interpreting and Evaluating Functions Using Graphs
Graphs of Functions | Identifying Domain and Range from Graphs of Functions | Vertical Line Test | Increasing, Decreasing, and Constant Functions
1.5 Linear Functions: Equations and Graphs
Definition of a Linear Function | Finding the Equation of a Linear Function: Slope-Intercept Form, Point-Slope Form | Horizontal and Vertical Lines | Parallel and Perpendicular Lines | Modeling with Linear Functions
1.6 Lines of Best Fit
Scatterplots | Lines of Best Fit and Modeling | Finding Linear Regression Models with the Graphing Calculator
Chapter 1 Review
Chapter 2 Linear Systems in Two Variables and Inequalities with Applications
2.0 Getting Started
Review: Solving Linear Equations by Graphing-Intersection Method | Solving Linear Equations by the Tabular Method-Numerical Solutions | Properties of Linear Inequalities in One Variable
2.1 Graphical and Numerical Solutions
Definition of a System of Equations | Solving a Linear System in Two Variables by Graphing | Classification of Linear Systems | Numerical Solutions of Linear Systems in Two Variables | Graphical Modeling with Linear Systems
2.2 Substitution and Elimination
Solving a Linear System in Two Variables by Substitution | Solving a Linear System in Two Variables by Elimination | Algebraic Modeling with Linear Systems | Identifying Inconsistent and Dependent Systems Algebraically
2.3 Linear Inequalities in Two Variables
Solution of a Linear Inequality on Two Variables | Graphical Solutions and Applications | Using the Graphing Calculator to Graph Linear Inequalities in Two Variables
2.4 Systems of Linear Inequalities
Solving a System of Inequalities in Two Variables | Applications
Chapter 2 Review
Chapter 3 Non-Linear Functions and Applications
3.0 Getting Started
Review: Simplifying Expressions with Absolute Value | Basic Operations with Polynomials |Graphical Solutions of Inequalities
3.1 Basic Functions and Their Graphs
Basic Functions: Square, Cube, Square Root, Cube Root, Absolute Value, Reciprocal, Identity | Graphing Basic Functions with the Graphing Calculator | Function Symmetry: Even and Odd Functions | Finding Relative Maximum and Relative Minimum Values | Finding Zeros of a Function Graphically
3.2 Transformations
Vertical and Horizontal Shifts | Reflections | Stretching and Compressing Graphs of Functions | Combining Multiple Transformations to Sketch a Graph | Average Rate of Change | The Difference Quotient
3.3 Piecewise-Defined Functions
Definition, Graphs, and Modeling | Using the Graphing Calculator to Graph Piecewise-Defined Functions | Applications
3.4 Absolute Value Equations and Inequalities
Solving Absolute Value Equations | Solving Absolute Value Inequalities |Applications
Chapter 3 Review
Chapter 4 Quadratic Functions and Various Nonlinear Topics
4.0 Getting Started
Review: Factoring by Greatest Common Factor | Grouping | Trinomials | Recognizing Patterns | Radicals and Rational Exponents | Complex Numbers
4.1 Solving Quadratic Equations
Definition of Quadratic Equation | Solving by Factoring | Projectiles and Gravity Models | Solving by the Square Root Method | Solving by Completing the Square | Solving by the Quadratic Formula | Quadratic Equations with Complex Solutions | Nature of the Solutions: The Discriminant |Graphical and Numerical Solutions | Modeling with Quadratic Equations
4.2 Parabolas and Their Applications
Definition of Quadratic Function | Parabolas: Features and Graphs | General and Vertex Forms of Quadratic Functions | Finding Equations of Quadratic Functions: Given the Vertex and a Point, Given the Graph, or Given a Set of Data Points | Average Rate of Change
4.3 Quadratic Inequalities
Solving a Quadratic Inequality by Graphing | Solving a Quadratic Inequality Algebraically | Applications
4.4 Other Types of Equations
Solving Radical Equations Algebraically | Solving Radical Equations Graphically | Solving Radical Equations Numerically | Solving Equations Reducible to Quadratic Form | Solving Rational Equations | Applications
4.5 Distance Formula, Midpoint Formula, and Circles
Distance Formula | Midpoint Formula | Circles | Standard For of the Equation of a Circle | Graphing Circles | General Form of the Equation of a Circle | Graphing Calculator and Circles | Applications
4.6 Nonlinear Systems of Equations
Solving by Graphing | Solving by Substitution | Solving by Elimination | Nonlinear Systems with Complex Solutions | Applications
Chapter 4 Review
Chapter 5 Inverse Functions and Applications
5.0 Getting Started
Review: Literal Equations | Evaluation of Functions
5.1 Finding the Inverse: Numerical, Graphical, and Symbolic Approaches
One-to-One Functions | Horizontal Line Test | Finding the Inverse of a Function | The Graphs of Inverse Functions | Functions with Restricted Domains | Applications
5.2 Composition of Functions
Algebra of Functions | Composite Functions | Composition of Functions with the Graphing Calculator | Applications
5.3 Determining the Inverse Using Composition of Functions
Using Composition to Verify Inverse Functions | Applications
Chapter 5 Review
Chapter 6 Exponential and Logarithmic Functions and Applications
6.0 Getting Started
Review: Laws of Exponents | Scientific Notation
6.1 Exponential Functions and Their Graphs
Exponential Functions: Characteristics and Graphs | Transformations of Graphs of Exponential Functions | Introduction to Exponential Growth and Decay | Different Time Periods | Average Rate of Change | Comparing Linear and Exponential Growth | Applications
6.2 Logarithmic Functions and Their Graphs
Definition of Logarithm | Evaluating Logarithms | Common Logarithms | Logarithmic Functions: Characteristics and Graphs | Transformations of Graphs of Logarithmic Functions | Basic Logarithmic Properties | Applications
6.3 The Natural Exponential and Logarithmic Functions
Number e | Natural Exponential Function: Characteristics and Graphs | Transformations | Exponential Growth and Decay | Natural Logarithmic Function: Basic Properties of Natural Logarithms, Characteristics and Graphs | Transformations | Applications
6.4 Exponential and Logarithmic Equations
Solving Exponential Equations: With the Exponential Equality Property; With Base 10 or Base e; Graphically and Numerically | Fundamental Properties of Logarithms | Solving Exponential Equations Using Properties of Logarithms | Solving Logarithmic Equations | Solving Literal Equations Involving Exponential and Logarithmic Equations | Change of Base Formula | Applications
6.5 Additional Exponential and Logarithmic Models
Compound Interest | Continuous Compounding | Future and Present Values | Doubling Time | Annuities | Amortization | Logistic Function | Carbon-14 Dating
Chapter 6 Review
Chapter 7 Polynomial and Rational Functions with Applications
7.0 Getting Started
Review: Factoring the Sum or Difference of Two Cubes | Simplifying Rational Expressions
7.1 Polynomial Functions and Their Graphs
Definition of Polynomial Function | Higher Degree Polynomial Functions | Factor Theorem | Multiple Zeros of Polynomial Functions | Properties of Graphs of Polynomial Functions | Sketching the Graph of a Polynomial Function | Division of Polynomials | Synthetic Division | The Remainder Theorem | Applications
7.2 Rational Functions and Their Graphs
Definition of Rational Function | Graphs of Rational Functions | Asymptotes and Holes | Using Transformations to Sketch the Graph of a Rational Function | Strategy for Sketching the Graph of any Rational Function | Finding a Rational Function Given Its Graph | Applications
7.3 Solving Polynomial and Rational Inequalities
Solving Polynomial Inequalities by Graphing | Solving Polynomial Inequalities Algebraically | Solving Rational Inequalities by Graphing | Solving Rational Inequalities Algebraically | Applications
7.4 Variation
Direct Variation | Inverse Variation | Joint Variation | Combined Variation | Applications
Chapter 7 Review
Index
1.0 Getting Started
Review: Order of Operations | Solving Linear Equations in One Variable | Graphing Lines | Graphing Calculator Basics | Graphing Lines with the Graphing Calculator | Creating a Table of Values with the Grapher | Interval Notation
1.1 Linear Equations and Intercepts
Intercepts | General Form of a Linear Equation | Graphing Lines Using the Intercepts | Interpreting Intercepts in Different Contexts
1.2 Slope of a Line, Vertical Intercept, and Rate of Change
Concept of Slope | Slope and the Graph of a Line | Slope-Intercept Form of a Line | Slope as Rate of Change
1.3 Functions: Definition, Notation, and Evaluation
Definition of Function | Verbal, Numeric, Symbolic, and Graphical Descriptions of Functions | Domain and Range | Function Notation | Evaluating Functions in Different Contexts
1.4 Interpreting and Evaluating Functions Using Graphs
Graphs of Functions | Identifying Domain and Range from Graphs of Functions | Vertical Line Test | Increasing, Decreasing, and Constant Functions
1.5 Linear Functions: Equations and Graphs
Definition of a Linear Function | Finding the Equation of a Linear Function: Slope-Intercept Form, Point-Slope Form | Horizontal and Vertical Lines | Parallel and Perpendicular Lines | Modeling with Linear Functions
1.6 Lines of Best Fit
Scatterplots | Lines of Best Fit and Modeling | Finding Linear Regression Models with the Graphing Calculator
Chapter 1 Review
Chapter 2 Linear Systems in Two Variables and Inequalities with Applications
2.0 Getting Started
Review: Solving Linear Equations by Graphing-Intersection Method | Solving Linear Equations by the Tabular Method-Numerical Solutions | Properties of Linear Inequalities in One Variable
2.1 Graphical and Numerical Solutions
Definition of a System of Equations | Solving a Linear System in Two Variables by Graphing | Classification of Linear Systems | Numerical Solutions of Linear Systems in Two Variables | Graphical Modeling with Linear Systems
2.2 Substitution and Elimination
Solving a Linear System in Two Variables by Substitution | Solving a Linear System in Two Variables by Elimination | Algebraic Modeling with Linear Systems | Identifying Inconsistent and Dependent Systems Algebraically
2.3 Linear Inequalities in Two Variables
Solution of a Linear Inequality on Two Variables | Graphical Solutions and Applications | Using the Graphing Calculator to Graph Linear Inequalities in Two Variables
2.4 Systems of Linear Inequalities
Solving a System of Inequalities in Two Variables | Applications
Chapter 2 Review
Chapter 3 Non-Linear Functions and Applications
3.0 Getting Started
Review: Simplifying Expressions with Absolute Value | Basic Operations with Polynomials |Graphical Solutions of Inequalities
3.1 Basic Functions and Their Graphs
Basic Functions: Square, Cube, Square Root, Cube Root, Absolute Value, Reciprocal, Identity | Graphing Basic Functions with the Graphing Calculator | Function Symmetry: Even and Odd Functions | Finding Relative Maximum and Relative Minimum Values | Finding Zeros of a Function Graphically
3.2 Transformations
Vertical and Horizontal Shifts | Reflections | Stretching and Compressing Graphs of Functions | Combining Multiple Transformations to Sketch a Graph | Average Rate of Change | The Difference Quotient
3.3 Piecewise-Defined Functions
Definition, Graphs, and Modeling | Using the Graphing Calculator to Graph Piecewise-Defined Functions | Applications
3.4 Absolute Value Equations and Inequalities
Solving Absolute Value Equations | Solving Absolute Value Inequalities |Applications
Chapter 3 Review
Chapter 4 Quadratic Functions and Various Nonlinear Topics
4.0 Getting Started
Review: Factoring by Greatest Common Factor | Grouping | Trinomials | Recognizing Patterns | Radicals and Rational Exponents | Complex Numbers
4.1 Solving Quadratic Equations
Definition of Quadratic Equation | Solving by Factoring | Projectiles and Gravity Models | Solving by the Square Root Method | Solving by Completing the Square | Solving by the Quadratic Formula | Quadratic Equations with Complex Solutions | Nature of the Solutions: The Discriminant |Graphical and Numerical Solutions | Modeling with Quadratic Equations
4.2 Parabolas and Their Applications
Definition of Quadratic Function | Parabolas: Features and Graphs | General and Vertex Forms of Quadratic Functions | Finding Equations of Quadratic Functions: Given the Vertex and a Point, Given the Graph, or Given a Set of Data Points | Average Rate of Change
4.3 Quadratic Inequalities
Solving a Quadratic Inequality by Graphing | Solving a Quadratic Inequality Algebraically | Applications
4.4 Other Types of Equations
Solving Radical Equations Algebraically | Solving Radical Equations Graphically | Solving Radical Equations Numerically | Solving Equations Reducible to Quadratic Form | Solving Rational Equations | Applications
4.5 Distance Formula, Midpoint Formula, and Circles
Distance Formula | Midpoint Formula | Circles | Standard For of the Equation of a Circle | Graphing Circles | General Form of the Equation of a Circle | Graphing Calculator and Circles | Applications
4.6 Nonlinear Systems of Equations
Solving by Graphing | Solving by Substitution | Solving by Elimination | Nonlinear Systems with Complex Solutions | Applications
Chapter 4 Review
Chapter 5 Inverse Functions and Applications
5.0 Getting Started
Review: Literal Equations | Evaluation of Functions
5.1 Finding the Inverse: Numerical, Graphical, and Symbolic Approaches
One-to-One Functions | Horizontal Line Test | Finding the Inverse of a Function | The Graphs of Inverse Functions | Functions with Restricted Domains | Applications
5.2 Composition of Functions
Algebra of Functions | Composite Functions | Composition of Functions with the Graphing Calculator | Applications
5.3 Determining the Inverse Using Composition of Functions
Using Composition to Verify Inverse Functions | Applications
Chapter 5 Review
Chapter 6 Exponential and Logarithmic Functions and Applications
6.0 Getting Started
Review: Laws of Exponents | Scientific Notation
6.1 Exponential Functions and Their Graphs
Exponential Functions: Characteristics and Graphs | Transformations of Graphs of Exponential Functions | Introduction to Exponential Growth and Decay | Different Time Periods | Average Rate of Change | Comparing Linear and Exponential Growth | Applications
6.2 Logarithmic Functions and Their Graphs
Definition of Logarithm | Evaluating Logarithms | Common Logarithms | Logarithmic Functions: Characteristics and Graphs | Transformations of Graphs of Logarithmic Functions | Basic Logarithmic Properties | Applications
6.3 The Natural Exponential and Logarithmic Functions
Number e | Natural Exponential Function: Characteristics and Graphs | Transformations | Exponential Growth and Decay | Natural Logarithmic Function: Basic Properties of Natural Logarithms, Characteristics and Graphs | Transformations | Applications
6.4 Exponential and Logarithmic Equations
Solving Exponential Equations: With the Exponential Equality Property; With Base 10 or Base e; Graphically and Numerically | Fundamental Properties of Logarithms | Solving Exponential Equations Using Properties of Logarithms | Solving Logarithmic Equations | Solving Literal Equations Involving Exponential and Logarithmic Equations | Change of Base Formula | Applications
6.5 Additional Exponential and Logarithmic Models
Compound Interest | Continuous Compounding | Future and Present Values | Doubling Time | Annuities | Amortization | Logistic Function | Carbon-14 Dating
Chapter 6 Review
Chapter 7 Polynomial and Rational Functions with Applications
7.0 Getting Started
Review: Factoring the Sum or Difference of Two Cubes | Simplifying Rational Expressions
7.1 Polynomial Functions and Their Graphs
Definition of Polynomial Function | Higher Degree Polynomial Functions | Factor Theorem | Multiple Zeros of Polynomial Functions | Properties of Graphs of Polynomial Functions | Sketching the Graph of a Polynomial Function | Division of Polynomials | Synthetic Division | The Remainder Theorem | Applications
7.2 Rational Functions and Their Graphs
Definition of Rational Function | Graphs of Rational Functions | Asymptotes and Holes | Using Transformations to Sketch the Graph of a Rational Function | Strategy for Sketching the Graph of any Rational Function | Finding a Rational Function Given Its Graph | Applications
7.3 Solving Polynomial and Rational Inequalities
Solving Polynomial Inequalities by Graphing | Solving Polynomial Inequalities Algebraically | Solving Rational Inequalities by Graphing | Solving Rational Inequalities Algebraically | Applications
7.4 Variation
Direct Variation | Inverse Variation | Joint Variation | Combined Variation | Applications
Chapter 7 Review
Index
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Chapter 1 Linear Functions and Mathematical Modeling
1.0 Getting Started
Review: Order of Operations | Solving Linear Equations in One Variable | Graphing Lines | Graphing Calculator Basics | Graphing Lines with the Graphing Calculator | Creating a Table of Values with the Grapher | Interval Notation
1.1 Linear Equations and Intercepts
Intercepts | General Form of a Linear Equation | Graphing Lines Using the Intercepts | Interpreting Intercepts in Different Contexts
1.2 Slope of a Line, Vertical Intercept, and Rate of Change
Concept of Slope | Slope and the Graph of a Line | Slope-Intercept Form of a Line | Slope as Rate of Change
1.3 Functions: Definition, Notation, and Evaluation
Definition of Function | Verbal, Numeric, Symbolic, and Graphical Descriptions of Functions | Domain and Range | Function Notation | Evaluating Functions in Different Contexts
1.4 Interpreting and Evaluating Functions Using Graphs
Graphs of Functions | Identifying Domain and Range from Graphs of Functions | Vertical Line Test | Increasing, Decreasing, and Constant Functions
1.5 Linear Functions: Equations and Graphs
Definition of a Linear Function | Finding the Equation of a Linear Function: Slope-Intercept Form, Point-Slope Form | Horizontal and Vertical Lines | Parallel and Perpendicular Lines | Modeling with Linear Functions
1.6 Lines of Best Fit
Scatterplots | Lines of Best Fit and Modeling | Finding Linear Regression Models with the Graphing Calculator
Chapter 1 Review
Chapter 2 Linear Systems in Two Variables and Inequalities with Applications
2.0 Getting Started
Review: Solving Linear Equations by Graphing-Intersection Method | Solving Linear Equations by the Tabular Method-Numerical Solutions | Properties of Linear Inequalities in One Variable
2.1 Graphical and Numerical Solutions
Definition of a System of Equations | Solving a Linear System in Two Variables by Graphing | Classification of Linear Systems | Numerical Solutions of Linear Systems in Two Variables | Graphical Modeling with Linear Systems
2.2 Substitution and Elimination
Solving a Linear System in Two Variables by Substitution | Solving a Linear System in Two Variables by Elimination | Algebraic Modeling with Linear Systems | Identifying Inconsistent and Dependent Systems Algebraically
2.3 Linear Inequalities in Two Variables
Solution of a Linear Inequality on Two Variables | Graphical Solutions and Applications | Using the Graphing Calculator to Graph Linear Inequalities in Two Variables
2.4 Systems of Linear Inequalities
Solving a System of Inequalities in Two Variables | Applications
Chapter 2 Review
Chapter 3 Non-Linear Functions and Applications
3.0 Getting Started
Review: Simplifying Expressions with Absolute Value | Basic Operations with Polynomials |Graphical Solutions of Inequalities
3.1 Basic Functions and Their Graphs
Basic Functions: Square, Cube, Square Root, Cube Root, Absolute Value, Reciprocal, Identity | Graphing Basic Functions with the Graphing Calculator | Function Symmetry: Even and Odd Functions | Finding Relative Maximum and Relative Minimum Values | Finding Zeros of a Function Graphically
3.2 Transformations
Vertical and Horizontal Shifts | Reflections | Stretching and Compressing Graphs of Functions | Combining Multiple Transformations to Sketch a Graph | Average Rate of Change | The Difference Quotient
3.3 Piecewise-Defined Functions
Definition, Graphs, and Modeling | Using the Graphing Calculator to Graph Piecewise-Defined Functions | Applications
3.4 Absolute Value Equations and Inequalities
Solving Absolute Value Equations | Solving Absolute Value Inequalities |Applications
Chapter 3 Review
Chapter 4 Quadratic Functions and Various Nonlinear Topics
4.0 Getting Started
Review: Factoring by Greatest Common Factor | Grouping | Trinomials | Recognizing Patterns | Radicals and Rational Exponents | Complex Numbers
4.1 Solving Quadratic Equations
Definition of Quadratic Equation | Solving by Factoring | Projectiles and Gravity Models | Solving by the Square Root Method | Solving by Completing the Square | Solving by the Quadratic Formula | Quadratic Equations with Complex Solutions | Nature of the Solutions: The Discriminant |Graphical and Numerical Solutions | Modeling with Quadratic Equations
4.2 Parabolas and Their Applications
Definition of Quadratic Function | Parabolas: Features and Graphs | General and Vertex Forms of Quadratic Functions | Finding Equations of Quadratic Functions: Given the Vertex and a Point, Given the Graph, or Given a Set of Data Points | Average Rate of Change
4.3 Quadratic Inequalities
Solving a Quadratic Inequality by Graphing | Solving a Quadratic Inequality Algebraically | Applications
4.4 Other Types of Equations
Solving Radical Equations Algebraically | Solving Radical Equations Graphically | Solving Radical Equations Numerically | Solving Equations Reducible to Quadratic Form | Solving Rational Equations | Applications
4.5 Distance Formula, Midpoint Formula, and Circles
Distance Formula | Midpoint Formula | Circles | Standard For of the Equation of a Circle | Graphing Circles | General Form of the Equation of a Circle | Graphing Calculator and Circles | Applications
4.6 Nonlinear Systems of Equations
Solving by Graphing | Solving by Substitution | Solving by Elimination | Nonlinear Systems with Complex Solutions | Applications
Chapter 4 Review
Chapter 5 Inverse Functions and Applications
5.0 Getting Started
Review: Literal Equations | Evaluation of Functions
5.1 Finding the Inverse: Numerical, Graphical, and Symbolic Approaches
One-to-One Functions | Horizontal Line Test | Finding the Inverse of a Function | The Graphs of Inverse Functions | Functions with Restricted Domains | Applications
5.2 Composition of Functions
Algebra of Functions | Composite Functions | Composition of Functions with the Graphing Calculator | Applications
5.3 Determining the Inverse Using Composition of Functions
Using Composition to Verify Inverse Functions | Applications
Chapter 5 Review
Chapter 6 Exponential and Logarithmic Functions and Applications
6.0 Getting Started
Review: Laws of Exponents | Scientific Notation
6.1 Exponential Functions and Their Graphs
Exponential Functions: Characteristics and Graphs | Transformations of Graphs of Exponential Functions | Introduction to Exponential Growth and Decay | Different Time Periods | Average Rate of Change | Comparing Linear and Exponential Growth | Applications
6.2 Logarithmic Functions and Their Graphs
Definition of Logarithm | Evaluating Logarithms | Common Logarithms | Logarithmic Functions: Characteristics and Graphs | Transformations of Graphs of Logarithmic Functions | Basic Logarithmic Properties | Applications
6.3 The Natural Exponential and Logarithmic Functions
Number e | Natural Exponential Function: Characteristics and Graphs | Transformations | Exponential Growth and Decay | Natural Logarithmic Function: Basic Properties of Natural Logarithms, Characteristics and Graphs | Transformations | Applications
6.4 Exponential and Logarithmic Equations
Solving Exponential Equations: With the Exponential Equality Property; With Base 10 or Base e; Graphically and Numerically | Fundamental Properties of Logarithms | Solving Exponential Equations Using Properties of Logarithms | Solving Logarithmic Equations | Solving Literal Equations Involving Exponential and Logarithmic Equations | Change of Base Formula | Applications
6.5 Additional Exponential and Logarithmic Models
Compound Interest | Continuous Compounding | Future and Present Values | Doubling Time | Annuities | Amortization | Logistic Function | Carbon-14 Dating
Chapter 6 Review
Chapter 7 Polynomial and Rational Functions with Applications
7.0 Getting Started
Review: Factoring the Sum or Difference of Two Cubes | Simplifying Rational Expressions
7.1 Polynomial Functions and Their Graphs
Definition of Polynomial Function | Higher Degree Polynomial Functions | Factor Theorem | Multiple Zeros of Polynomial Functions | Properties of Graphs of Polynomial Functions | Sketching the Graph of a Polynomial Function | Division of Polynomials | Synthetic Division | The Remainder Theorem | Applications
7.2 Rational Functions and Their Graphs
Definition of Rational Function | Graphs of Rational Functions | Asymptotes and Holes | Using Transformations to Sketch the Graph of a Rational Function | Strategy for Sketching the Graph of any Rational Function | Finding a Rational Function Given Its Graph | Applications
7.3 Solving Polynomial and Rational Inequalities
Solving Polynomial Inequalities by Graphing | Solving Polynomial Inequalities Algebraically | Solving Rational Inequalities by Graphing | Solving Rational Inequalities Algebraically | Applications
7.4 Variation
Direct Variation | Inverse Variation | Joint Variation | Combined Variation | Applications
Chapter 7 Review
Index
1.0 Getting Started
Review: Order of Operations | Solving Linear Equations in One Variable | Graphing Lines | Graphing Calculator Basics | Graphing Lines with the Graphing Calculator | Creating a Table of Values with the Grapher | Interval Notation
1.1 Linear Equations and Intercepts
Intercepts | General Form of a Linear Equation | Graphing Lines Using the Intercepts | Interpreting Intercepts in Different Contexts
1.2 Slope of a Line, Vertical Intercept, and Rate of Change
Concept of Slope | Slope and the Graph of a Line | Slope-Intercept Form of a Line | Slope as Rate of Change
1.3 Functions: Definition, Notation, and Evaluation
Definition of Function | Verbal, Numeric, Symbolic, and Graphical Descriptions of Functions | Domain and Range | Function Notation | Evaluating Functions in Different Contexts
1.4 Interpreting and Evaluating Functions Using Graphs
Graphs of Functions | Identifying Domain and Range from Graphs of Functions | Vertical Line Test | Increasing, Decreasing, and Constant Functions
1.5 Linear Functions: Equations and Graphs
Definition of a Linear Function | Finding the Equation of a Linear Function: Slope-Intercept Form, Point-Slope Form | Horizontal and Vertical Lines | Parallel and Perpendicular Lines | Modeling with Linear Functions
1.6 Lines of Best Fit
Scatterplots | Lines of Best Fit and Modeling | Finding Linear Regression Models with the Graphing Calculator
Chapter 1 Review
Chapter 2 Linear Systems in Two Variables and Inequalities with Applications
2.0 Getting Started
Review: Solving Linear Equations by Graphing-Intersection Method | Solving Linear Equations by the Tabular Method-Numerical Solutions | Properties of Linear Inequalities in One Variable
2.1 Graphical and Numerical Solutions
Definition of a System of Equations | Solving a Linear System in Two Variables by Graphing | Classification of Linear Systems | Numerical Solutions of Linear Systems in Two Variables | Graphical Modeling with Linear Systems
2.2 Substitution and Elimination
Solving a Linear System in Two Variables by Substitution | Solving a Linear System in Two Variables by Elimination | Algebraic Modeling with Linear Systems | Identifying Inconsistent and Dependent Systems Algebraically
2.3 Linear Inequalities in Two Variables
Solution of a Linear Inequality on Two Variables | Graphical Solutions and Applications | Using the Graphing Calculator to Graph Linear Inequalities in Two Variables
2.4 Systems of Linear Inequalities
Solving a System of Inequalities in Two Variables | Applications
Chapter 2 Review
Chapter 3 Non-Linear Functions and Applications
3.0 Getting Started
Review: Simplifying Expressions with Absolute Value | Basic Operations with Polynomials |Graphical Solutions of Inequalities
3.1 Basic Functions and Their Graphs
Basic Functions: Square, Cube, Square Root, Cube Root, Absolute Value, Reciprocal, Identity | Graphing Basic Functions with the Graphing Calculator | Function Symmetry: Even and Odd Functions | Finding Relative Maximum and Relative Minimum Values | Finding Zeros of a Function Graphically
3.2 Transformations
Vertical and Horizontal Shifts | Reflections | Stretching and Compressing Graphs of Functions | Combining Multiple Transformations to Sketch a Graph | Average Rate of Change | The Difference Quotient
3.3 Piecewise-Defined Functions
Definition, Graphs, and Modeling | Using the Graphing Calculator to Graph Piecewise-Defined Functions | Applications
3.4 Absolute Value Equations and Inequalities
Solving Absolute Value Equations | Solving Absolute Value Inequalities |Applications
Chapter 3 Review
Chapter 4 Quadratic Functions and Various Nonlinear Topics
4.0 Getting Started
Review: Factoring by Greatest Common Factor | Grouping | Trinomials | Recognizing Patterns | Radicals and Rational Exponents | Complex Numbers
4.1 Solving Quadratic Equations
Definition of Quadratic Equation | Solving by Factoring | Projectiles and Gravity Models | Solving by the Square Root Method | Solving by Completing the Square | Solving by the Quadratic Formula | Quadratic Equations with Complex Solutions | Nature of the Solutions: The Discriminant |Graphical and Numerical Solutions | Modeling with Quadratic Equations
4.2 Parabolas and Their Applications
Definition of Quadratic Function | Parabolas: Features and Graphs | General and Vertex Forms of Quadratic Functions | Finding Equations of Quadratic Functions: Given the Vertex and a Point, Given the Graph, or Given a Set of Data Points | Average Rate of Change
4.3 Quadratic Inequalities
Solving a Quadratic Inequality by Graphing | Solving a Quadratic Inequality Algebraically | Applications
4.4 Other Types of Equations
Solving Radical Equations Algebraically | Solving Radical Equations Graphically | Solving Radical Equations Numerically | Solving Equations Reducible to Quadratic Form | Solving Rational Equations | Applications
4.5 Distance Formula, Midpoint Formula, and Circles
Distance Formula | Midpoint Formula | Circles | Standard For of the Equation of a Circle | Graphing Circles | General Form of the Equation of a Circle | Graphing Calculator and Circles | Applications
4.6 Nonlinear Systems of Equations
Solving by Graphing | Solving by Substitution | Solving by Elimination | Nonlinear Systems with Complex Solutions | Applications
Chapter 4 Review
Chapter 5 Inverse Functions and Applications
5.0 Getting Started
Review: Literal Equations | Evaluation of Functions
5.1 Finding the Inverse: Numerical, Graphical, and Symbolic Approaches
One-to-One Functions | Horizontal Line Test | Finding the Inverse of a Function | The Graphs of Inverse Functions | Functions with Restricted Domains | Applications
5.2 Composition of Functions
Algebra of Functions | Composite Functions | Composition of Functions with the Graphing Calculator | Applications
5.3 Determining the Inverse Using Composition of Functions
Using Composition to Verify Inverse Functions | Applications
Chapter 5 Review
Chapter 6 Exponential and Logarithmic Functions and Applications
6.0 Getting Started
Review: Laws of Exponents | Scientific Notation
6.1 Exponential Functions and Their Graphs
Exponential Functions: Characteristics and Graphs | Transformations of Graphs of Exponential Functions | Introduction to Exponential Growth and Decay | Different Time Periods | Average Rate of Change | Comparing Linear and Exponential Growth | Applications
6.2 Logarithmic Functions and Their Graphs
Definition of Logarithm | Evaluating Logarithms | Common Logarithms | Logarithmic Functions: Characteristics and Graphs | Transformations of Graphs of Logarithmic Functions | Basic Logarithmic Properties | Applications
6.3 The Natural Exponential and Logarithmic Functions
Number e | Natural Exponential Function: Characteristics and Graphs | Transformations | Exponential Growth and Decay | Natural Logarithmic Function: Basic Properties of Natural Logarithms, Characteristics and Graphs | Transformations | Applications
6.4 Exponential and Logarithmic Equations
Solving Exponential Equations: With the Exponential Equality Property; With Base 10 or Base e; Graphically and Numerically | Fundamental Properties of Logarithms | Solving Exponential Equations Using Properties of Logarithms | Solving Logarithmic Equations | Solving Literal Equations Involving Exponential and Logarithmic Equations | Change of Base Formula | Applications
6.5 Additional Exponential and Logarithmic Models
Compound Interest | Continuous Compounding | Future and Present Values | Doubling Time | Annuities | Amortization | Logistic Function | Carbon-14 Dating
Chapter 6 Review
Chapter 7 Polynomial and Rational Functions with Applications
7.0 Getting Started
Review: Factoring the Sum or Difference of Two Cubes | Simplifying Rational Expressions
7.1 Polynomial Functions and Their Graphs
Definition of Polynomial Function | Higher Degree Polynomial Functions | Factor Theorem | Multiple Zeros of Polynomial Functions | Properties of Graphs of Polynomial Functions | Sketching the Graph of a Polynomial Function | Division of Polynomials | Synthetic Division | The Remainder Theorem | Applications
7.2 Rational Functions and Their Graphs
Definition of Rational Function | Graphs of Rational Functions | Asymptotes and Holes | Using Transformations to Sketch the Graph of a Rational Function | Strategy for Sketching the Graph of any Rational Function | Finding a Rational Function Given Its Graph | Applications
7.3 Solving Polynomial and Rational Inequalities
Solving Polynomial Inequalities by Graphing | Solving Polynomial Inequalities Algebraically | Solving Rational Inequalities by Graphing | Solving Rational Inequalities Algebraically | Applications
7.4 Variation
Direct Variation | Inverse Variation | Joint Variation | Combined Variation | Applications
Chapter 7 Review
Index
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
