In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i.e. e^x, as well as the properties and graphs of exponential functions

An introduction to exponential functions, concentrating on models of exponential growth and decay.

[Free Registration/Login may be required to access all resource tools.] Graphing functions with the input variable in the exponent (exponential functions) using transformations and technology. Students examine guided notes, review guided...

Given a verbal description of the rate of change of a real world situation, find the exponential function that models it. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive...

This lesson will provide real world examples that involve graphing exponential functions. It is 3 of 5 in the series titled "Exponential Functions in the Real World."

[Free Registration/Login may be required to access all resource tools.] Graphing logarithmic functions using transformations. Identifying log functions as the inverses of exponential functions. Students examine guided notes, review...

The resource investigates inverse functions. Topics examined are domain, range, one-to-one functions, graphing inverse functions, finding inverse functions algebraically, and logarithmic and exponential functions. Students learn about...

In this task, students compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...

In this task, students work with exponential functions in a real-world context involving continuously compounded interest. They will study how the base of the exponential function impacts its growth rate and use logarithms to solve...

This website looks at exponential functions from the perspective of a sequence.

This problem examines the growth of algal blooms in Chesapeake Bay. Young scholars build an exponential function modeling algae concentration based on the information provided, and gain an appreciation for the exponential growth...

The context of this task is that a quarter was put into a bank account in 1901 and learners are asked to calculate its value in 2013 at two different interest rates. Those amounts are compared to the appreciation rate of a rare and...

In this task, students analyze the sizes of a country's population and of its food supply to determine when and if food shortages will occur. To solve it, they must construct and compare linear and exponential functions and find where...

In this task, students analyze two methods of payment to discover how an exponentially increasing quantity eventually surpasses a linearly increasing quantity. Aligns with F-LE.A.3.

The purpose of this task is to help students see that the definition of the logarithm as an exponent results in an inverse relationship between the exponential and logarithm functions with the same base. This prepares them to think about...

This task serves as an introduction to polynomials or as an application after students are familiar with exponential functions. Aligns with A-REI.D.11.

Students are shown two tables of data showing the approximate boiling point of water at different elevations. Both data sets can be modeled by linear functions but with different slopes. When the tables are combined, however, students...

This site is an example of the use of exponential decay. The example involves the effectiveness of a medical dosage over time.

Students use a graphing calculator to explore the relationship between the linear factors of a quadratic function and its zeros. They learn that the x-intercepts and axis of symmetry of a quadratic function can be determined from its...

Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.

Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.

The goal of this task is to examine some population data for large cities from a modeling perspective. Students are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential function, and...

Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.

Explanation and examples of solving exponential equations for time and rate.