CK-12 Foundation
Ck 12: Algebra: Exponential Growth
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to analyze and graph exponential growth functions.
CK-12 Foundation
Ck 12: Analysis: Average Rate of Change
[Free Registration/Login may be required to access all resource tools.] Defining average rate of change and evaluating simple examples
CK-12 Foundation
Ck 12: Algebra: Exponential Growth
[Free Registration/Login may be required to access all resource tools.] Learn about exponential growth functions.
Khan Academy
Khan Academy: Analyzing Problems Involving Rates of Change in Applied Contexts
Differential calculus is all about instantaneous rate of change. Let's see how this can be used to solve real-world word problems.
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.
Math Open Reference
Math Open Reference: Average Value
A complete reference guide to the average value. It provides a definition and examples that enhance further explanation. Includes links to related topics.
Khan Academy
Khan Academy: Exponential vs. Linear Models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential.
Khan Academy
Khan Academy: Interpret Change in Exponential Models
Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.
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.
Khan Academy
Khan Academy: Interpret Change in Exponential Models: Changing Units
Given a function that models an exponential situation, rewrite the function in order to find its change for a different time unit.
Khan Academy
Khan Academy: Linear vs. Exponential Growth: From Data
Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.
CK-12 Foundation
Ck 12: Algebra Ii: 3.9 the Transcendental Number E and Natural Log
This section introduces the transcendental number e which is a special number that is considered a natural base. In addition to exploring how to simplify and solve equations with e, this section also investigates how it can be used to...
Khan Academy
Khan Academy: Average Rate of Change of Polynomials
This quiz tests your ability to find the average rate of change of a function over a given interval.
Khan Academy
Khan Academy: Functions in Asymptotic Notation
A discussion of asymptotic notation in relation to the rate of growth of an algorithm's running time.
Other
Nearpod: Exponential Functions
In this instructional activity, students will use the exponential function equation to solve real-life problems involving exponential growth and decay including the compound interest formula.
Math Notes and Math Tests
Pre Calculus Notes: Exponential Functions and Their Graphs [Pdf]
Learners explore exponential functions and their graphs. Exponential decay, the natural exponential function, and compound interest are examined. Proofs, explanations, and examples are included.
Curated OER
Zona Land/the Function Institute/poly. Function/graph
Contains an applet that allows you to graph a constant function. An example is set up; you can change the constant.
Massachusetts Institute of Technology
Mit: Calculus Index
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Carnegie Mellon University
Exponential Growth in Computing Power
An exponential graph that shows the evolution of computing power to cost.
Richland Community College
Richland Community College: Exponential Models
This site from Richland Community College contains specific examples of where logarithmic and exponential formulas are used, including: exponential growth and decay, Gaussian, logistics growth, and logarithmic.
Wolfram Research
Wolfram Math World: Constant Function
This MathWorld site gives definition and example of constant function.
Wolfram Research
Wolfram Math World: Exponential Decay
MathWorld provides the equation for exponential decay and an explanation of the variables of the equation.
Math Medics
S.o.s. Math: Solving Exponential Equations
Examples showing how to solve the exponential equation by using logarithms. It also includes a set of exercises to practice with.