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

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  • Introduction
    • What You’ll Find
    • How This Workbook Is Organized
      • Part I: The Questions
      • Part II: The Answers
    • 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 Quadratic Inequalities
      • Solving Absolute Value Inequalities
      • Working with Radicals and Fractional Notation
      • Performing Operations Using Fractional Exponents
      • Factoring Using Fractional Notation
      • Solving Radical Equations
      • 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
      • Solving Quadratic Equations by Using the Quadratic Formula
      • 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
      • Changing Radians to Degrees
      • Changing Degrees to Radians
      • 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
  • Part II: The Answers
    • Chapter 17: Answers
  • About the Author
  • Cheat Sheet
  • More Dummies Products
  • End User License Agreement

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Eiginleikar
Vörumerki: Dummies Series
Tilboði lýkur 13.08.2019
Vörunúmer: 9781118853344
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Pre-Calculus: 1,001 Practice Problems For Dummies (+ Free Online Practice)

Vörumerki: Dummies Series
Tilboði lýkur 13.08.2019
Vörunúmer: 9781118853344
Rafbók

Veldu vöru

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1.740 kr. 1.632 kr.
Get the product now
-6%
1.740 kr. 1.632 kr.