In this activity for the TI-84 family, students will investigate the inverse of an exponential function by observing a scatterplot. Students will determine that the inverse of an exponential function is a logarithmic function. 

In this activity, students will investigate the inverse of an exponential function by observing a scatterplot. Students will determine that the inverse of an exponential function is a logarithmic function. As a result, students will:

• Analyze the function f(x)=2^x, its corresponding inverse function g(x)=log₂x , and their reflection about the line y=x.
• Analyze the function f(x)=e^x, its corresponding inverse function g(x)=lnx , and their reflection about the line y=x .
• Graph the function f(x)=10^x  and its corresponding inverse function g(x)=logx  .

*Note: This activity contains an optional AP Practice Questions document for those students preparing for the AP Precalculus Exam.