Graphing Exponential and Logarithmic Functions

7.1 Creating and Using Exponential Functions

• Explanation

  • Notes | Annotated

  • Khan video: Modeling ticket fines with exponential function

  • Khan video: Constructing exponential models: half-life (with exponent of t/n)

  • Khan video: Writing exponential functions from tables

  • Khan video: Analyzing graphs of exponential functions

  • Khan video: Interpreting time in exponential models

• Practice Problems

  • Desmos Activity: Avi and Benita's Repair Shop (Teacher use only)

  • Khan Exercise: Exponential functions from tables & graphs

  • Khan exercise: Interpret time in exponential models

  • Worksheet #1

7.2 Exponential Functions and Rates (including compound interest)

• Explanation

  • Notes | Annotated

  • Website: U.S. and World Population Clock

  • Khan video: e and compound interest

  • Khan video: e as a limit

• Practice Problems

  • Worksheet #1 - use desmos.com as your calculator

7.3 Exponential Growth and Decay Functions

• Explanation

  • Notes | Annotated

  • US Debt Clock

  • CA Debt Clock

  • Khan video: Intro to exponential functions

  • Khan video: Exponential function graph

  • Khan video: Graphs of exponential growth

  • Khan video: Exponential decay intro

  • Khan video: Initial value & common ratio of exponential functions

  • Khan video: Graphing exponential growth & decay

  • Khan video: Interpreting change in exponential models

  • Khan video: Constructing exponential models

  • Khan video: Constructing exponential models: half life

  • Khan video: Constructing exponential models: percent change

• Practice Problems

  • Khan exercise: Graphs of exponential growth

  • Khan exercise: Graphing exponential growth & decay

  • Khan exercise: Exponential growth vs. decay

  • Khan exercise: Interpret change in exponential models

  • Khan exercise: Construct exponential models

  • Desmos Activity: Growth and Decay Exponential Functions (teacher use only)

  • Desmos Activity: Function Family Card Sort (teacher use only)

  • Worksheet #1

7.4 Translating Exponential Functions

• Explanation

  • Notes | Annotated

• Practice Problems

• Desmos Activity: Graph Exponential Functions by Translation (teacher use only)

• Worksheet #1

7.5 Reflecting Exponential Functions

• Explanation

  • Notes | Annotated

  • Khan video: Transforming exponential graphs

  • Khan video: Transforming exponential graphs (example 2)

  • Khan video: Graphing exponential functions

• Practice Problems

  • Khan Exercise: Graphs of exponential functions

  • Desmos Activty: Marbleslides: Exponential (teacher use only)

  • Worksheet #1

7.6 Simple Logarithmic Expressions and Equations

• Explanation:

  • Notes | Annotated | Video

  • Khan Video: Intro to logarithms

  • Khan article: Intro to Logarithms

  • Khan video: Relationship between exponentials & logarithms

• Practice Problems:

  • Khan Exercise: Evaluate logarithms

  • Worksheet #1

7.7 Inverse function of Exponential and Logarithmic Functions

• Explanation:

  • Notes | Annotated | Video

• Practice Problems:

  • Worksheet #1 | Answers

7.8 Logarithmic Functions

• Explanation

  • Notes | Annotated | Video

  • Khan video: Graphical relationship between 2ˣ and log₂(x)

  • Khan video: Graphing logarithmic functions (example 1)

  • Khan video: Graphing logarithmic functions (example 2)

  • Khan video: Relationship between exponentials & logarithms: graphs

• Practice Problems

  • Desmos Activity: Graphing Logs (teacher use only)

  • Desmos Activity: Function Family Card Sort - with log functions (teacher use only)

  • Khan Exercise: Relationship between exponentials & logarithms

  • Khan Exercise: Graphs of logarithmic functions

  • Worksheet #1

Review

• Worksheet #1

• Worksheet #2