Paul Dawkins
Paul's Online Notes: Exponential Functions Practice Problems
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
Windstream
Ojk's Precalculus Study Page: Exponential Functions
An introduction to exponential functions, concentrating on models of exponential growth and decay.
Texas Instruments
Texas Instruments: Transformations of Exponential Functions
This activity assesses student's knowledge of transformations of exponential functions. Writing exponential functions that model growth and decay are also explored.
CK-12 Foundation
Ck 12: Algebra: Applications of Exponential Functions
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to use exponential functions in real-life situations. Students watch a video tutorial, explore guided notes and attempt practice problems.
Richland Community College
Richland Community College: Exponential Functions and Their Graphs
The site explains exponential functions and characteristics of their graphs.
CK-12 Foundation
Ck 12: Algebra: Graphs of Exponential Functions
[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...
Khan Academy
Khan Academy: Algebra Ii: Construct Exponential Models
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...
Oregon State University
Calculus Quest: Power Functions
This CalculusQuest site is details the power function by looking at the significance of the function, standard notation, the rules of exponentiation, domains and graphs of power functions, and also calculations. This site is a good...
Math Open Reference
Math Open Reference: Power Functions
Gain an understanding of power functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Analyze Math
Analyze Math: Exponential Functions (2)
The tutorial investigates how to use exponential functions to solve word problems. Some topics explored are population and radioactive decay. The activity includes examples with detailed solutions.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Inverse Functions
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...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii
In this task, young scholars 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...
Math Planet
Math Planet: Algebra 1: Exponential Growth Functions
An exponential function is a nonlinear function that has the form of y=a*b^x, where a != 0, b > 0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an...
Illustrative Mathematics
Illustrative Mathematics: F Le, a Rei Population and Food Supply
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...
Other
Wpi: Exponential Growth and Decay
This site explains exponential growth and decay and how it applies to the real world with its use in bacterial populations.
Paul Dawkins
Paul's Online Notes: Algebra: Logarithm Functions
Detailed math tutorial introduces logarithm functions giving the basic properties and graphs. Also, discusses how to evaluate some basic logarithms including the use of the change of base formula, the common logarithm, log(x), and the...
Khan Academy
Khan Academy: Construct Exponential Models
Given a verbal description of the rate of change of a real world situation, find the exponential function that models it.
Illustrative Mathematics
Illustrative Mathematics: F Bf Exponentials and Logarithms Ii
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...
CK-12 Foundation
Ck 12: Algebra Ii: 3.11 Modeling With Exponential Decay and Log Functions
This lesson continues exploring the process for modeling real world scenarios by writing and solving exponential and logarithmic functions. It also covers how to create and interpret graphs of such functions.
Illustrative Mathematics
Illustrative Mathematics: A ced.a.1 & a rei.d.1: Intro. To Polynomials: College
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating in Practice I
In this task, students learn about exponential decay by examining the amount of Carbon-14 left in a preserved plant with the passage of time after the plant has died. This provides a simple introduction to Carbon-14 dating but the actual...
Other
Wpi: Exponential Decay and Effective Medicine Dosage
This site is an example of the use of exponential decay. The example involves the effectiveness of a medical dosage over time.
Paul Dawkins
Paul's Online Notes: Algebra: Applications
Provides examples of applications of exponential functions involving compound interest and exponential growth and decay, and an example of an application of a logarithm involving earthquake intensity.
Khan Academy
Khan Academy: Interpret Time in Exponential Models
Given a function that models an exponential situation, find the time interval over which the quantity changes by a given factor.