Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Exponential Functions and Models
The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
Illustrative Mathematics
Illustrative Mathematics: F Le Do Two Points Determine an Exponential Function?
In this task, students investigate whether exponential functions will always be determined by two points. It complements the task "Do two points always determine a linear function?" Aligns with F-LE.A.2.
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.] Students graph an exponential function and compare graphs of exponential functions on the same coordinate plane. Students examine guided notes, review guided...
CK-12 Foundation
Ck 12: 3.4 Graphs of Logs as the Inverse of Exponential Functions
This lesson explores the statement that the log functions are identified as the inverse of exponential functions. These functions will be compared visually through the graphs of both the logarithmic and exponential functions.
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...
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.
CK-12 Foundation
Ck 12: Algebra Ii: 3.5 Using Logs to Solve Exponential Functions
This section explores logarithms as operations that are the inverse of exponents. It investigates the process for "undoing" or "eliminating" variable exponents when solving exponential equations.
Illustrative Mathematics
Illustrative Mathematics: F Le in the Billions and Exponential Modeling
For this task, students examine world population data from 1804 to 2012 and investigate whether an exponential function is appropriate for modeling the relationship between the world population and the year. Aligns with F-LE.A.1.c.
Illustrative Mathematics
Illustrative Mathematics: F Le What Functions Do Two Graph Points Determine?
In this task, students find a unique linear function, a unique exponential function, and more than one quadratic function that go through the same two points on the coordinate grid. Aligns with F-LE.A.
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...
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.
Math Is Fun
Math Is Fun: Working With Exponents and Logarithms
Clearly presented explanation of how logarithms and exponents work together, the properties of logarithms, the natural logarithm and the natural exponential functions, the common logarithm, changing the base, and real-world applications...
Oswego City School District
Regents Exam Prep Center: Exponential and Logarithmic Functions
Students learn about exponential functions, logarithmic functions, and applications of exponential functions. The tutorial includes class notes, calculator tips, examples, and practice problems with solutions. The teacher resource...
University of Illinois
University of Illinois: Exponential Review
This site from the University of Illinois shows several basic graphs, gives properties of exponential functions, and has practice problems at the end of the site.
Other
Wpi: Applications of Exponential & Logarithmic Functions
This site explains the Applications of exponential and logarithmic functions with exercises to help the student understand the applications.
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...
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: F Le Basketball Bounces, Assessment Variation 1
This task asks students to analyze a set of data about the height of a basketball for each time it bounces. They choose a model that reasonably fits the data and use the model to answer questions about the physical context. This variant...
Illustrative Mathematics
Illustrative Mathematics: F Le Carbon 14 Dating in Practice I
For 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...
Khan Academy
Khan Academy: Interpret Change in Exponential Models: With Manipulation
Given a function that models an exponential situation, rewrite the function in order to analyzeits rate of change.
Illustrative Mathematics
Illustrative Mathematics: F Le Rumors
In this task, learners investigate the exponential growth of a rumor about a celebrity. Aligns with F-LE.A.2.
Illustrative Mathematics
Illustrative Mathematics: F Le Basketball Rebounds
The purpose of this task is to introduce students to an exponential decay function in the form f(x) = abx, with a concrete interpretation of the decay factor b. A table shows the rebound height of a basketball for each successive bounce....