Algebra I: Exponential Functions f(x) = ab^x

Objectives

• Students will identify the characteristics of graphs of exponential functions of the form f(x) = ab^x
• Students will describe how the parameters a and b affect the graphs of exponential functions of the form f(x) = ab^x, where a ≠ 0 and b > 0, b ≠ 1

Vocabulary

• Exponential

About the Lesson

This lesson involves moving a slider to investigate the effect of different a-values on f(x) = a*b^x. As a result, students will:

• Explore specific values of a and b, and then generalize the effects of both a and b on the graph, the domain, and the range of the graph of an exponential function.