Exponential Functions Part 2

In this lesson on exponential functions, students will learn how to recognize and understand the algebraic form of exponential models, including their parameters and how to find them with different types of information. The lesson covers how to find the initial value, rate of change, and growth factor using different forms of exponential models, and how to use solver and regression to find the necessary values. The lesson provides practical examples that show how to solve problems using the different methods, making it easy for students to understand the concepts and apply them in real-life situations.

Be familiar with and recognize the algebraic form for an exponential model, 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.).

• What is an exponential model?
• How do you find the values of the parameters in an exponential function?
• What is the difference between continuous and discrete exponential functions?
• How do you compute the growth factor or growth rate constant for an exponential model?
• How do you do an exponential regression on a TI graphing calculator?
• How can you use the Equation Solver on a TI graphing calculator to solve for a variable in an exponential function?
• How do you solve for an exponent by hand in an exponential function?