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.
Other
Algebra Lab: Applications of Exponential Functions
Explains how exponential functions have applications in real-world scenarios, including a population of a city, the growth of bacteria, drug decay, and compounding interest. Includes four word problems to try, with hints and answers...
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Two Points Determine an Exponential Function Ii
In this task, students are shown a graph of an exponential equation, with two points labeled with their coordinates, and are asked to find the values of a and b in the equation. Aligns with F-LE.A.2.
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.
Illustrative Mathematics
Illustrative Mathematics: F Le a Saturating Exponential
For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.
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...
Windstream
Ojk's Precalculus Study Page: The Number E and the Function E^x
An introduction to the natural exponential function, beginning with the limit definition of the irrational number e. Includes several examples and exercises with solutions which deal with the compound interest formula.
BioEd Online
Bio Ed Online: Calculating Exponential Growth
Disease is a breakdown in structures or functions of an organism. Some diseases are the result of damage by infection by other organisms. In this lesson students read an essay, "It's All in the Numbers," about the rapid spread of HIV...
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...
CK-12 Foundation
Ck 12: Algebra: Exponential Growth
[Free Registration/Login may be required to access all resource tools.] Learn about developing exponential growth models. Here you will explore the use of Algebra to match mathematical models to observed data from real-life situations.
Illustrative Mathematics
Illustrative Mathematics: F Le Identifying Functions
In this task, students are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and F-LE.A.1.c.
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.
CK-12 Foundation
Ck 12: Algebra: Linear, Exponential, and Quadratic Models
[Free Registration/Login may be required to access all resource tools.] Given a table of values, determine the type of function being modeled.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Logarithmic Functions
This clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.
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.
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.
Other
Brown Math: It's the Law Too the Laws of Logarithms
The laws of logarithms (which flow directly out of the laws of exponents) are discussed here. Combining logs with the same base and the Change of Base Formula are also explained in straightforward language for the reader.
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....
Illustrative Mathematics
Illustrative Mathematics: F Le Bacteria Populations
This task provides a real-world context for interpreting and solving exponential equations. Students are asked to examine the equations representing the growth of three colonies of the bacterium that causes pneumonia, each colony being...