Exponential Model from Two Points

In this lesson, you will learn how to find the initial value and growth factor for an exponential model from two points. Although there are many ways to do this, the video will show you how to perform the calculations quickly and easily using your calculator. By following the procedure outlined in the video, you will be able to determine the corresponding parameters, including the initial value and rate of change, and understand their meaning in the context of the functional relationship.

Be familiar with and recognize the algebraic form for an exponential model from two points, including the corresponding parameters and if those parameters have any meaning in the context of the functional relationship (e.g. does a parameter control the initial value, rate of change (shape), decreasing or increasing (flip), max/min, limiting values, etc.).

• How do you find the initial value and growth factor for an exponential model from two points using a TI graphing calculator?
• What are the initial value and growth factor for the exponential function that goes through (4.1, 10) and (8.9, 2)?