Sophia Learning
Sophia: Exponential Function: Lesson 5
This lesson defines the phrase exponential function. It is 5 of 5 in the series titled "Exponential Function."
University of California
Solutions to Integration of Exponential Functions
This site has some example problems that go over the basics of integrating exponents. The site walks you through each problem.
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 if Graphs of Power Functions
In this task, students are asked to sketch and label the graphs of different (positive) powers of x. Aligns with F-IF.C.7.c.
Analyze Math
Analyze Math: Solve Exponential and Logarithmic Equations
The tutorial investigates how to solve exponential and logarithmic equations. The activity includes examples with detailed solutions.
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.
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.
Texas Instruments
Texas Instruments: The Calcumites Are Coming! Ti 83
Students model the growth of a population and compare ideal growth with a population whose growth is limited. They use technology to find exponential and logistic regression equations and use them to plot models.
Sophia Learning
Sophia: Comparing Linear, Quadratic, and Exponential Functions
Linear, quadratic and exponential functions have different graphs, equations, and characteristics. In this tutorial, compare the shape of linear, quadratic, and exponential curves on a graph, and explore how to identify a function as...
Interactive Mathematics
Interactive Mathematics: Derivatives of Exponential Functions
The formulas for determining the derivatives of exponential functions are presented in this lesson, along with several examples and exercises. The solutions are hidden to allow students to practice the concept without help.
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. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Khan Academy
Khan Academy: Interpret Basic Exponential Functions
Find features of exponential functions of the basic form f(x)=a*r^x given their formula. Features in question are the initial value, the common ratio, and output-values that correspond to various input-values. Students receive immediate...
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...
PBS
Pbs: Comparing Exponential, Quadratic, and Linear Functions
Analyze the numerical and graphical representations of functions. This interactive exercise focuses comparing linear, quadratic, and exponential functions and their graphical representations after completing a table to calculate ordered...
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...
Khan Academy
Khan Academy: Modular Exponentiation
Tips and suggestions are explored in understanding the exponentiation.
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.
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.
Other
University of Edinburgh: Exponential Function
This website looks at exponential functions from the perspective of a sequence.
University of South Florida
Fcat: Get a Half Life!: Teacher Notes
Students use M&M's and a graphing calculator to collect and graph data. This activity helps them to understand exponential functions and the concept of half-life.
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...
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."
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...
Paul Dawkins
Paul's Online Notes: Algebra: Exponential and Logarithm Functions
Students investigate exponential and logarithm functions. Topics explored are solving exponential functions, solving logarithm equations, and applications. Class notes, definitions, and examples with detailed solutions are included. The...