Class Notes
- Form (a, b; domain, range)
- Two parent graphs
- Transformations (a, b, asymptote)
- Exp fn vs Linear fn (common ratio vs common difference)
- One-to-one property of exponentials
- finite and infinite/continuous growth rate (natural exp. Euler’s Number)
Applications:
- Bacteria growth
- Population growth
- Appreciation vs Depreciation (Cars, Houses)
- Compound Interest:
- Trillion Dollar Equation
Video Lessons 4.1 Exponential Functions
- Introduction to Exponential Functions
- Determine if a Table Represents a Linear or Exponential Function
- Exponential Function Application (y=ab^x) – Population Growth of India
- Exponential Function Application (y=ab^x) – Population Decline of Chicago
- Exponential Function Application (y=ab^x) – Depreciation of a Car
- Exponential Growth Application – Predicting World Population
- Exponential Function Application (y=ae^(kt)) – Bacteria Growth
- Compounded Interest
Video Lessons 4.2 Graphs of Exponential Functions
- Graphing an exponential function
- Graphing Exponential Functions
- Determine Exponential Graphs that Have Specific Characteristics: y = ab^x
- Match Exponential Functions to Graphs
- End (Long Run) Behavior of Exponential Functions
- Find the Equation of a Transformed Exponential Function From a Graph
- Match the Graphs of Translated Exponential Function to Equations
- Match the Graphs of Reflected Exponential Functions to Equations