Lesson plan

Recognize key features of the graph of an exponential function including the rate of growth and the y-intercept by investigating the relationship between a function's expression and its graph

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.C.7e http://corestandards.org/Math/Content/HSF/IF/C/7/e

You have saved this lesson plan!

Here's where you can access your saved items.

Content placeholder

or to view additional materials

You'll gain access to interventions, extensions, task implementation guides, and more for this lesson plan.

Big Ideas: In the graph of the standard exponential function, f(x) = ab^x, the ‘a’ value determines the y-intercept, and the ‘b’ value determines how steep the function is. Students examine 3 different exponential models, based on a chain e-mail. Students are asked to write function rules for the 3 models and compare them algebraically and graphically, and then decide which model would exceed 250 emails more quickly. Students discover that, given an exponential function f(x)=ab^x, the 'a' value is the y-intercept of the graph, and the 'b' value affects the steepness of the graph. Vocabulary: y-intercept, exponential function