7.3 Use Functions Involving e
Natural Base e (Euler's Number)
Euler's number is a special number that can be used in exponential growth and decay functions as well.
Natural Basse Exponential Functions
Exploration
We can explore growth and decay using euler's number and it's special properties as well.
Normally a function is in exponential growth when x > 1, and decays when x < 1.
When euler's constant is used as the natural base, exponential growth occurs when x > 0.
How To Use the Model
- Explore by moving k around. Note when the graph changes between growth and decay
- Explore by moving a around now. Note how the graph changes.
Reference
Samantha Cruz
https://www.geogebra.org/scruz10