Objectives
Exponential Functions
Exponential Functions
- Function output changes at a proportional rate
- Definition as functions of the form
- Finding the formula of an exponential function from a table
- Increasing (at an increasing rate) vs decreasing (at an increasing rate) exponentials
- Modeling cooling coffee with
- Identifying vertical shifts from terms
- Defining long term (end) behavior, introducing arrows to infinity
- Discussing the concavity of exponentials
- Varying in is a horizontal scaling
- Definition of
- Average rate of change of approaches the function value
- is invertible. Name its inverse