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Algebra II » G. Exponential and logarithmic Functions

  • G.1. Graph Exponential Growth Functions

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

    2. G.1.Q. Unit Challenge

    3. G.1.1. Graphing Basic Exponential Growth Functions

      1. G.1.1.O. Overview
      2. G.1.1.1. Graphing y = bx for b > 1
      3. G.1.1.2. Graphing y = abx for b > 1

    4. G.1.2. Translations of Basic Exponential Growth Functions

      1. G.1.2.O. Overview
      2. G.1.2.1. Graphing y = abx – h + k for b > 1

    5. G.1.3. Exponential Growth Model

      1. G.1.3.O. Overview
      2. G.1.3.1. Writing and Solving Exponential Growth Functions Given a Word Problem

    6. G.1.4. Compound Interest Model

      1. G.1.4.O. Overview
      2. G.1.4.1. Writing and Solving Compound Interest Functions Given a Word Problem
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  • G.2. Graph Exponential Decay Functions

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

    2. G.2.Q. Unit Challenge

    3. G.2.1. Graphing Basic Exponential Decay Functions

      1. G.2.1.O. Overview
      2. G.2.1.1. Graphing y = bx for 0 < b < 1
      3. G.2.1.2. Graphing y = abx for 0 < b < 1

    4. G.2.2. Translations of Basic Exponential Decay Functions

      1. G.2.2.O. Overview
      2. G.2.2.1. Graphing y = abx – h + k for b <1

    5. G.2.3. Exponential Decay Models

      1. G.2.3.O. Overview
      2. G.2.3.1. Writing and Solving Exponential Decay Functions Given a Word Problem
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  • G.3. Use Functions Involving e

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

    2. G.3.Q. Unit Challenge

    3. G.3.1. Natural Base Fundamentals

      1. G.3.1.O. Overview
      2. G.3.1.1. Simplifying Natural Base Expressions
      3. G.3.1.2. Evaluating Natural Base Expressions

    4. G.3.2. Graphing Natural Base Functions

      1. G.3.2.O. Overview
      2. G.3.2.1. Identifying Natural Base Functions as Exponential Growth or Exponential Decay
      3. G.3.2.2. Graphing y = aerx for a > 0 and r > 0
      4. G.3.2.3. Graphing y = aerx for a > 0 and r < 0
      5. G.3.2.4. Solving Word Problems by Graphing Natural Base Functions

    5. G.3.3. Continuously Compounded Interest

      1. G.3.3.O. Overview
      2. G.3.3.1. Writing and Solving Compound Interest Functions Given a Word Problem
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  • G.4. Evaluate logarithms and Graph logarithmic Functions

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

    2. G.4.Q. Unit Challenge

    3. G.4.1. Logarithm Basics

      1. G.4.1.O. Overview
      2. G.4.1.1. Converting an Equation from logarithmic Form to Exponential Form
      3. G.4.1.2. Converting an Equation from Exponential Form to logarithmic Form

    4. G.4.2. Evaluating logarithms

      1. G.4.2.O. Overview
      2. G.4.2.1. Evaluating the Given logarithm
      3. G.4.2.2. Evaluating Common and Natural logarithms
      4. G.4.2.3. Evaluating logarithmic Models Given a Word Problem

    5. G.4.3. Inverse Properties and logarithms

      1. G.4.3.O. Overview
      2. G.4.3.1. Simplifying logarithmic Expressions Using Inverse Properties
      3. G.4.3.2. Finding the Inverse of the Function Using logarithm Properties

    6. G.4.4. Graphing and Translating logarithmic Functions

      1. G.4.4.O. Overview
      2. G.4.4.1. Graphing Basic logarithmic Functions Using a Table of Values
      3. G.4.4.2. Translating Basic logarithmic Functions Using the Form y = logb(x – h) + k

    7. G.4.5. Solving Problems Involving logarithms

      1. G.4.5.O. Overview
      2. G.4.5.1. Solving Word Problems Involving logarithms
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  • G.5. Apply Properties of logarithms

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

    2. G.5.Q. Unit Challenge

    3. G.5.1. Using Properties of logarithms

      1. G.5.1.O. Overview
      2. G.5.1.1. Evaluating logarithms Using the Product Property
      3. G.5.1.2. Evaluating logarithms Using the Quotient Property
      4. G.5.1.3. Evaluating logarithms Using the Power Property

    4. G.5.2. Expanding and Condensing logarithmic Properties

      1. G.5.2.O. Overview
      2. G.5.2.1. Expanding logarithms Using the logarithm Properties
      3. G.5.2.2. Condensing logarithms Using the logarithm Properties

    5. G.5.3. Using the Change-of-Base Formula

      1. G.5.3.O. Overview
      2. G.5.3.1. Evaluating logarithms Using the Change-of-Base Formula

    6. G.5.4. Solving Problems Using Properties of logarithms

      1. G.5.4.O. Overview
      2. G.5.4.1. Solving Word Problems Using Properties of logarithms
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  • G.6. Solve Exponential and logarithmic Equations

    1. G.6.M. Play Multiplayer 0 wins, 0 losses

    2. G.6.Q. Unit Challenge

    3. G.6.1. Exponent Property of Equality

      1. G.6.1.O. Overview
      2. G.6.1.1. Solving Exponential Equations Using the Property of Equality
      3. G.6.1.2. Solving Exponential Equations by Taking logarithms of Both Sides

    4. G.6.2. Solving logarithmic Equations

      1. G.6.2.O. Overview
      2. G.6.2.1. Solving logarithmic Equations Using the Property of Equality for logarithms
      3. G.6.2.2. Solving logarithmic Equations by Exponentiating Each Side
      4. G.6.2.3. Solving logarithmic Equations with Extraneous Solutions
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  • G.7. Write and Apply Exponential and Power Functions

    1. G.7.M. Play Multiplayer 0 wins, 0 losses

    2. G.7.Q. Unit Challenge

    3. G.7.1. Writing Exponential Functions

      1. G.7.1.O. Overview
      2. G.7.1.1. Writing Exponential Functions Given Two Points on the Line
      3. G.7.1.2. Writing Exponential Functions Given a Table of Values by Using the Natural logarithm

    4. G.7.2. Exponential Regression

      1. G.7.2.1. Using a Graphing Calculator to Find Exponential Functions Given a Table of Values

    5. G.7.3. Writing Power Functions

      1. G.7.3.O. Overview
      2. G.7.3.1. Writing Power Functions Given Two Points on the Line
      3. G.7.3.2. Writing Power Functions Given a Table of Values by Using the Natural logarithm

    6. G.7.4. Power Regression

      1. G.7.4.1. Using a Graphing Calculator to Find Power Functions Given a Table of Values
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