Graphs of Exponentials

Graphs of Exponentials

1. y=a^x

   • exponential growth

2. y=a^-x

   • exponential decay

3. The number e is a special value for which the gradient of e^ graph has the same value as e^x at all points

4. Function In(x) is the inverse

   • e^x=4 is x=In(4)

5. As with all inverses the graph of In(x) is the reflection of e^x in the line y=x