# Exponential Growth and Decay

- Author:
- Jacob Carroll

This shows the graph of the function

**. Adjust the sliders to change the values of***f(x) = a b*^{x}**and***a**. 1. What happens as***b****gets larger? As***a***gets smaller? 2. What happens when***a***>1? What can you say about the behavior of the graph of exponential growth functions as***b***tends towards negative infinity? , positive infinity? 3. What happens when***x**? What can you say about the behavior of the graph of exponential growth functions as***0 < b < 1****tends towards negative infinity? , positive infinity? 4. Which factor has a larger influence on the shape of the graph?***x*