Windstream
Ojk's Precalculus Study Page: Rational Exponents
A basic introduction to rational exponents, beginning with the definition and working up to an application. Includes several examples.
Windstream
Ojk's Precalculus Study Page: Exponential Functions
An introduction to exponential functions, concentrating on models of exponential growth and decay.
Wolfram Research
Wolfram Math World: Exponential Function
This site contains graphs of the exponential function, identities relevant to the function, and the Maclaurin series for this function.
Wolfram Research
Wolfram Math World: Fourier Transform Exponential Function
This site explains how the Fourier transform of an exponential function is related to the Lorentzian function. Site also contains relevant links.
University of Illinois
University of Illinois Urbana Champaign: Chickscope Egg Math: Embryo Calculus
This interesting and interactive site offers information and activities on exponential functions, tangents and slopes, and "The number e."
University of Georgia
University of Georgia: One Grain of Rice Mathematical Project
This is the mathematical tale about Raja, one grain of rice, and how quickly it grows. It includes a mathematical project using a spreadsheet to examine exponential growth and a calculus-based extension that explores area under a curve.
Richland Community College
Richmond Community College: Logarithmic Functions
This site which is provided for by the Richmond Community College gives information examining logarithmic functions and their graphs.
University of California
University of California, Davis: The Calculus Page
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
Texas Instruments
Texas Instruments: Newton's Law of Cooling and the Calculus Behind It
In this activity, students investigate Newton's Law of Cooling and determine a model to represent the data.
Texas Instruments
Texas Instruments: Math Today More of Us
In this activity students will investigate exponential functions and their graphs using real-life data. Students will analyze population data for the United States and create an exponential model for the scatter plot.
Texas Instruments
Texas Instruments: Exponential Equations
After students have learned about basic exponential functions, this activity can be used to test understand of transformations of exponential equations.
Texas Instruments
Texas Instruments: Exponential Functions: Growth and Decay
Students can use exponential functions to study growth and decay. Students will solve word problems ranging from population to interest rates.
Texas Instruments
Texas Instruments: Glencoe Algebra 1: Graphing Calculator Investigation Curve
Students will make scatter plots and find the appropriate regression equations that best fit the data.
Texas Instruments
Texas Instruments: Using Derive
In this activity, students use the Derive software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area...
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.
Texas Instruments
Texas Instruments: Where Should They Hold the Fundraising Party?
Students learn how to create a table of values for a simple linear function and use the table to create a graph on squared paper. They use the graphing calculator to display the ordered pairs and find values of corresponding to values of...
Texas Instruments
Texas Instruments: Exploring Families of Functions
This activity provides students an opportunity to discover the similarities involved in shifting the parent functions for absolute value, quadratic, cubic, radical, exponential, and logarithmic functions. Students will also be given the...
Texas Instruments
Texas Instruments: M&m's and Exponential Graphs
Students can use M&M's to model a decay equation - exponential equations.
Texas Instruments
Texas Instruments: Problem Solving: Modeling the Marathon
In this activity, students use the TI InterActive! and exponential functions to predict if, and when, women will better the men's record in the marathon event in the Olympic games.
Texas Instruments
Texas Instruments: Exponential Regression
In this activity, students perform exponential regression on a data set.
Texas Instruments
Texas Instruments: Modeling Exponential Decay With a Look at Asymptotes
Students use sample data to approximate models with the Transformation Graphing Application. They are introduced to the idea of discrete data sets being used with continuous function models. They also identify non-zero asymptote form of...
Texas Instruments
Texas Instruments: Ball Bounce Revisited
This activity uses the peaks of the ball bounce data to produce an exponential function.
Texas Instruments
Texas Instruments: Wrapping It All Up
Students recognize the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions.
Texas Instruments
Texas Instruments: Behaviors Exponential Function
This StudyCard stack teaches and tests on the exponential function. Shows connection between the function parameters and the resulting geometric behaviors of the exponential function. Use with Foundations for College Mathematics, ch. 6.1.