Modeling Exponential Decay: Using Tables and Function Notation

The video tutorial explains how to model exponential decay using tables and function notation. It begins with a comparison of linear and exponential functions, using a linear function example to illustrate the concept. The tutorial then introduces exponential decay through a paper-tearing activity, demonstrating how the area decreases by half with each tear. The exponential decay function is explained, highlighting the difference in graph appearance compared to linear functions. Function notation is used to model exponential decay, with examples provided to show how to calculate values using the formula y = a * b^x.

Explain how the area of the paper changes with each tear.

Describe the difference between linear functions and exponential decay functions as mentioned in the text.

What is the initial value of the exponential decay function discussed in the text?

What is the decay factor in the exponential decay function modeled in the text?

How can you use function notation to determine the value of y for a given x in an exponential decay function?