Graphing Exponential Functions

The video tutorial explains how to graph a basic exponential function by modeling the process of cutting a string. It covers the concept of exponential functions, focusing on exponential decay, and demonstrates how to organize data in a table and graph the results. The tutorial highlights the characteristics of exponential functions, such as the y-intercept and horizontal asymptote, and provides examples of exponential growth and decay. The lesson concludes with a summary of key points and a visual representation of the concepts discussed.

What is the general form of an exponential function?

Explain the difference between exponential growth and exponential decay.

How does cutting a string in half relate to exponential decay?

What happens to the length of the string as the number of cuts increases?

Describe the behavior of the graph of an exponential decay function as x approaches infinity.

What is the significance of the y-intercept in an exponential function?

How does the concept of a horizontal asymptote apply to exponential functions?