# Pre-Calculus: 1,001 Practice Problems For Dummies (+ Free Online Practice)

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## Efnisyfirlit

• Introduction
• What You’ll Find
• How This Workbook Is Organized
• Part I: The Questions
• Beyond the Book
• What you’ll find online
• How to register
• Where to Go for Additional Help
• Part I: The Questions
• Chapter 1: Getting Started with Algebra Basics
• The Problems You’ll Work On
• What to Watch Out For
• Identifying Which System or Systems a Number Belongs To
• Recognizing Properties of Number Systems
• Simplifying Expressions with the Order of Operations
• Graphing Inequalities
• Using Graphing Formulas
• Applying Graphing Formulas
• Chapter 2: Solving Some Equations and Inequalities
• The Problems You’ll Work On
• What to Watch Out For
• Using Interval and Inequality Notation
• Solving Linear Inequalities
• Solving Absolute Value Inequalities
• Working with Radicals and Fractional Notation
• Performing Operations Using Fractional Exponents
• Factoring Using Fractional Notation
• Rationalizing Denominators
• Chapter 3: Function Basics
• The Problems You’ll Work On
• What to Watch Out For
• Using Function Notation to Evaluate Function Values
• Determining the Domain and Range of a Function
• Recognizing Even Functions
• Identifying Odd Functions
• Ruling Out Even and Odd Functions
• Recognizing One-to-One Functions from Given Relations
• Identifying One-to-One Functions from Equations
• Recognizing a Function’s Inverse
• Determining a Function’s Inverse
• Executing Operations on Functions
• Performing Function Composition
• Doing More Function Composition
• Using the Difference Quotient
• Chapter 4: Graphing and Transforming Functions
• The Problems You’ll Work On
• What to Watch Out For
• Functions and Their Inverses
• Sketching Quadratic Functions from Their Equations
• Writing Equations from Graphs of Parabolas
• Investigating and Graphing Radical Functions
• Investigating Absolute Value Functions
• Investigating the Graphs of Polynomial Functions
• Investigating Rational Functions
• Transformation of Functions
• Transforming Selected Points Using Functions
• Sketching Graphs Using Basic Functions and Transformations
• Sketching More Graphs Using Basic Functions and Transformations
• Chapter 5: Polynomials
• The Problems You’ll Work On
• What to Watch Out For
• Using Factoring to Solve Quadratic Equations
• Using Completing the Square to Solve Quadratic Equations
• Solving Polynomial Equations for Intercepts
• Using Factoring by Grouping to Solve Polynomial Equations
• Applying Descartes’s Rule of Signs
• Listing Possible Roots of a Polynomial Equation
• Dividing Polynomials
• Using Synthetic Division to Divide Polynomials
• Checking for Roots of a Polynomial by Using Synthetic Division
• Writing Polynomial Expressions from Given Roots
• Writing Polynomial Expressions When Given Roots and a Point
• Graphing Polynomials
• Writing Equations from Graphs of Polynomials
• Chapter 6: Exponential and Logarithmic Functions
• The Problems You’ll Work On
• What to Watch Out For
• Understanding Function Notation
• Graphing Exponential Functions
• Solving Exponential Equations
• Using the Equivalence bx = y logb y = x to Rewrite Expressions
• Using the Equivalence logb y = x bx = y to Rewrite Expressions
• Rewriting Logarithmic Expressions
• Rewriting Logs of Products and Quotients as Sums and Differences
• Solving Logarithmic Equations
• Applying Function Transformations to Log Functions
• Applying Logarithms to Everyday Life
• Chapter 7: Trigonometry Basics
• The Problems You’ll Work On
• What to Watch Out For
• Using Right Triangles to Determine Trig Functions
• Solving Problems by Using Right Triangles and Their Functions
• Working with Special Right Triangles
• Finding Angle Measures (in Degrees) in Standard Position
• Determining Angle Measures (in Radians) in Standard Position
• Identifying Reference Angles
• Determining Trig Functions by Using the Unit Circle
• Calculating Trig Functions by Using Other Functions and Terminal Side Positions
• Using the Arc Length Formula
• Evaluating Inverse Functions
• Solving Trig Equations for x in Degrees
• Calculating Trig Equations for x in Radians
• Chapter 8: Graphing Trig Functions
• The Problems You’ll Work On
• What to Watch Out For
• Recognizing Basic Trig Graphs
• Graphing Sine and Cosine
• Applying Function Transformations to Graphs of Trig Functions
• Writing New Trig Functions Using Transformations
• Graphing Tangent and Cotangent
• Interpreting Transformations of Trig Functions
• Graphing Secant and Cosecant
• Interpreting Transformations from Function Rules
• Chapter 9: Getting Started with Trig Identities
• The Problems You’ll Work On
• What to Watch Out For
• Proving Basic Trig Identities
• Returning to Basic Sine and Cosine to Solve Identities
• Using Multiplication by a Conjugate to Solve Identities
• Solving Identities After Raising a Binomial to a Power
• Solving Identities After Factoring out a Common Function
• Solving Identities After Combining Fractions
• Performing Algebraic Processes to Make Identities More Solvable
• Chapter 10: Continuing with Trig Identities
• The Problems You’ll Work On
• What to Watch Out For
• Using Identities That Add or Subtract Angle Measures
• Confirming Double-Angle Identities
• Using Identities That Double the Size of the Angle
• Confirming the Statements of Multiple-Angle Identities
• Creating Half-Angle Identities from Double-Angle Identities
• Creating a Half-Angle Identity for Tangent
• Using Half-Angle Identities to Simplify Expressions
• Creating Products of Trig Functions from Sums and Differences
• Using Product-to-Sum Identities to Evaluate Expressions
• Using Sum-to-Product Identities to Evaluate Expressions
• Applying Power-Reducing Identities
• Using Identities to Determine Values of Functions at Various Angles
• Working through Identities Using Multiple Methods
• Chapter 11: Working with Triangles and Trigonometry
• The Problems You’ll Work On
• What to Watch Out For
• Applying the Law of Sines to Find Sides
• Utilizing the Law of Sines to Find Angles
• Using the Law of Sines for Practical Applications
• Investigating the Ambiguous Case of the Law of Sines
• Determining All Angles and Sides of a Triangle
• Finding Side Measures by Using the Law of Cosines
• Using the Law of Cosines to Determine an Angle
• Applying the Law of Cosines to Real-World Situations
• Finding Areas of Triangles by Using the Sine
• Applying the Trig Formula for Area of a Triangle
• Using the Trig Formula for Area in Various Situations
• Solving Area Problems Needing Additional Computations
• Finding Areas of Triangles by Using Heron’s Formula
• Applying Heron’s Formula
• Practical Applications Using Heron’s Formula
• Tackling Practical Applications by Using Triangular Formulas
• Chapter 12: Complex Numbers and Polar Coordinates
• The Problems You’ll Work On
• What to Watch Out For
• Writing Powers of i in Their Simplest Form
• Adding and Subtracting Complex Numbers
• Multiplying Complex Numbers
• Using Multiplication to Divide Complex Numbers
• Solving Quadratic Equations with Complex Solutions
• Graphing Complex Numbers
• Identifying Points with Polar Coordinates
• Identifying Points Whose Angles Have Negative Measures
• Converting Polar to Rectangular Coordinates
• Converting Rectangular to Polar Coordinates
• Recognizing Polar Curves
• Chapter 13: Conic Sections
• The Problems You’ll Work On
• What to Watch Out For
• Identifying Conics from Their Equations
• Rewriting Conic Equations in Standard Form
• Writing Equations for Circles
• Determining Foci and Axes of Symmetry of Parabolas
• Finding the Vertices and Directrixes of Parabolas
• Writing Equations of Parabolas
• Determining Centers and Foci of Ellipses
• Writing Equations of Ellipses
• Determining Asymptotes of Hyperbolas
• Writing Equations of Hyperbolas
• Changing Equation Format from Trig Functions to Algebraic
• Changing Equation Format from Algebraic to Trig
• Chapter 14: Systems of Equations and Inequalities
• The Problems You’ll Work On
• What to Watch Out For
• Using Substitution to Solve Systems of Linear Equations with Two Variables
• Using Elimination to Solve Systems of Linear Equations with Two Variables
• Solving Systems of Equations Involving Nonlinear Functions
• Solving Systems of Linear Equations
• Solving Systems of Linear Equations with Four Variables
• Graphing Systems of Inequalities
• Decomposition of Fractions
• Operating on Matrices
• Changing Matrices to the Echelon Form
• Solving Systems of Equations Using Augmented Matrices
• Solving Systems of Equations Using the Inverse of the Coefficient Matrix
• Applying Cramer’s Rule to Solve Systems of Equations
• Chapter 15: Sequences and Series
• The Problems You’ll Work On
• What to Watch Out For
• Finding Terms of Sequences
• Determining Rules for Sequences
• Working with Recursively Defined Sequences
• Adding Terms in an Arithmetic Series
• Summing Terms of a Series
• Finding Rules and Summing Terms of a Series
• Calculating the Sum of a Geometric Series
• Determining Formulas and Finding Sums
• Counting Items by Using Combinations
• Constructing Pascal’s Triangle
• Applying Pascal’s Triangle
• Utilizing the Binomial Theorem
• Chapter 16: Introducing Limits and Continuity
• The Problems You’ll Work On
• What to Watch Out For
• Determining Limits from Graphs
• Determining One-Sided Limits
• Determining Limits from Function Values
• Determining Limits from Function Rules
• Applying Laws of Limits
• Investigating Continuity
• Cheat Sheet
• More Dummies Products

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Vörumerki: Dummies Series
Tilboði lýkur 13.08.2019
Vörunúmer: 9781118853344
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Vörumerki: Dummies Series
Tilboði lýkur 13.08.2019
Vörunúmer: 9781118853344
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### Veldu vöru

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1.740 kr. 1.632 kr.