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Precalculus » C. Exponential and Logarithmic Functions

  • C.1. Exponential Functions and Graphs

    1. C.1.M. Play Multiplayer 0 wins, 0 losses

    2. C.1.Q. Unit Challenge

    3. C.1.1. Evaluating Exponential Functions

      1. C.1.1.O. Overview
      2. C.1.1.1. Evaluating functions
      3. C.1.1.2. Evaluating natural exponential functions
      4. C.1.1.3. Word Problems – Compounding interest annually
      5. C.1.1.4. Word Problems – Compounding interest monthly
      6. C.1.1.5. Word Problems – Compounding interest continuously
      7. C.1.1.6. Word Problems – Radioactive Decay

    4. C.1.2. Graphing Exponential Functions

      1. C.1.2.O. Overview
      2. C.1.2.1. Graphing exponential functions by making a table
      3. C.1.2.2. Graphing transformations of exponential functions
      4. C.1.2.3. Graphing natural exponential functions
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  • C.2. Logarithmic Functions and Graphs

    1. C.2.M. Play Multiplayer 0 wins, 0 losses

    2. C.2.Q. Unit Challenge

    3. C.2.1. Logarithmic and Exponential Equations

      1. C.2.1.O. Overview
      2. C.2.1.1. Write the logarithmic equation in exponential form
      3. C.2.1.2. Write the exponential equation in logarithmic form

    4. C.2.2. Evaluating Logarithms

      1. C.2.2.O. Overview
      2. C.2.2.1. Evaluating Logarithms given a function and an x-value
      3. C.2.2.2. Evaluating Common Logarithms using a calculator
      4. C.2.2.3. Evaluating Natural Logarithms using a calculator

    5. C.2.3. Simplifying Logarithms

      1. C.2.3.O. Overview
      2. C.2.3.1. Using Properties of Logarithms to Simplify Logarithms
      3. C.2.3.2. Using Properties of Logarithms to Simplify Natural Logarithms
      4. C.2.3.3. Use the One-to-One Property to simplify Logarithms

    6. C.2.4. Graphing Logarithm Equations

      1. C.2.4.O. Overview
      2. C.2.4.1. Sketching graphs of Logarithmic Functions
      3. C.2.4.2. Sketching transformations of Logarithmic Functions
      4. C.2.4.3. Find the domain, x-intercept, and vertical asymptote of the logarithmic function
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  • C.3. Properties of Logarithms

    1. C.3.M. Play Multiplayer 0 wins, 0 losses

    2. C.3.Q. Unit Challenge

    3. C.3.1. Change of Base Formula

      1. C.3.1.O. Overview
      2. C.3.1.1. Rewrite the logarithm as a ratio of common logarithms
      3. C.3.1.2. Rewrite the logarithm as a ratio of natural logarithms
      4. C.3.1.3. Evaluate the logarithm using the change of base formula

    4. C.3.2. Properties of Logarithms

      1. C.3.2.O. Overview
      2. C.3.2.1. Use the Product Property to simplify the expression
      3. C.3.2.2. Use the Quotient Property to simplify the expression
      4. C.3.2.3. Use the Power Property to simplify the expression
      5. C.3.2.4. Use the properties of logarithms to rewrite and simplify the algebraic expression
      6. C.3.2.5. Find the exact value of the logarithmic expression without using the calculator
      7. C.3.2.6. Expanding Logarithmic Expressions
      8. C.3.2.7. Condensing Logarithmic Expressions
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  • C.4. Exponential and Logarithmic Equations

    1. C.4.M. Play Multiplayer 0 wins, 0 losses

    2. C.4.Q. Unit Challenge

    3. C.4.1. Solving Exponential Equations

      1. C.4.1.O. Overview
      2. C.4.1.1. Solving Exponential Equations using the one-to-one property
      3. C.4.1.2. Solving Exponential Equations by rewriting in logarithmic form
      4. C.4.1.3. Solving Exponential Equations using factoring
      5. C.4.1.4. Solving Exponential Equations using the change of base formula
      6. C.4.1.5. Solving Exponential Equations by taking the log of both sides
      7. C.4.1.6. Word Problems – How long it will take for an investment to reach a certain dollar value

    4. C.4.2. Solving Logarithmic Equations

      1. C.4.2.O. Overview
      2. C.4.2.1. Solving Logarithmic Equations using the one-to-one property
      3. C.4.2.2. Solving Logarithmic Equations by rewriting in exponential form
      4. C.4.2.3. Solving Logarithmic Equations by exponentiating both sides
      5. C.4.2.4. Solving Logarithmic Equations using properties of logarithms
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  • C.5. Exponential and Logarithmic Models

    1. C.5.M. Play Multiplayer 0 wins, 0 losses

    2. C.5.Q. Unit Challenge

    3. C.5.1. Exponential Growth Models

      1. C.5.1.O. Overview
      2. C.5.1.1. Word Problems – Exponential Growth Models

    4. C.5.2. Exponential Decay Models

      1. C.5.2.O. Overview
      2. C.5.2.1. Word Problems – Exponential Decay Models

    5. C.5.3. Gaussian Models

      1. C.5.3.O. Overview
      2. C.5.3.1. Word Problems – Gaussian Models

    6. C.5.4. Logistic Growth Models

      1. C.5.4.O. Overview
      2. C.5.4.1. Word Problems – Logistic Growth Models

    7. C.5.5. Logarithmic Models

      1. C.5.5.O. Overview
      2. C.5.5.1. Word Problems – Logarithmic Models
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