Graphing an exponential function with e as the base

The video tutorial covers exponential functions, focusing on their general form, transformations, and graphing techniques. It explains how to identify and apply transformations, such as shifts and dilations, to exponential graphs. The tutorial also discusses the importance of asymptotes, domain, and range in understanding these functions. Practical examples and calculations are provided to reinforce the concepts.

What is the importance of understanding transformations in graphing exponential functions?

How can you determine additional points on the graph of an exponential function?

What is the asymptote of the graph after shifting it up by 4 units?

Define the domain and range of exponential functions based on the transformations discussed.