Graphing Exponential and Logarithmic Functions
7.1 Creating and Using Exponential Functions
Explanation
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
7.2 Exponential Functions and Rates (including compound interest)
Explanation
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
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)
7.4 Translating Exponential Functions
Explanation
Practice Problems
Desmos Activity: Graph Exponential Functions by Translation (teacher use only)
7.5 Reflecting Exponential Functions
Explanation
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)
7.6 Simple Logarithmic Expressions and Equations
Explanation:
Khan Video: Intro to logarithms
Khan article: Intro to Logarithms
Khan video: Relationship between exponentials & logarithms
Practice Problems:
Khan Exercise: Evaluate logarithms
7.7 Inverse function of Exponential and Logarithmic Functions
Explanation:
Practice Problems:
7.8 Logarithmic Functions
Explanation
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
Review