Graphs of Growth and Decay
Exponential Growth
\(f(x)=2^x\) 
Exponential Decay

The graphs above are examples of an Exponential Growth function and an Exponential Decay function. What do you notice about the two graphs? How are they alike/different?
Click on the link for the Exponential Graphs by Desmos and explore the changes made by sliding the slider for various values of \(a\) and \(b\). Describe in words the effect of changing \(a\) and \(b\) on the shape of the graph.
Go to Watch (Comparing Exponential Growth and Decay)