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...
Paul Dawkins
Paul's Online Notes: Exponential Functions Practice Problems
In this section we will discuss exponential functions. We will cover the basic definition of an exponential function, the natural exponential function, i.e. e^x, as well as the properties and graphs of exponential functions
Paul Dawkins
Paul's Online Notes: Common Graphs Practice Problems
In this section we will do a very quick review of many of the most common functions and their graphs that typically show up in a Calculus class.
Cool Math
Coolmath: Graphing Polynomials Increasing and Decreasing
This algebra lesson explains how to find where a polynomial is increasing, decreasing or neither.
Cool Math
Coolmath: Graphing Rational Functions Increasing and Decreasing Revisited
Wrap up tutorials on graphing increasing and decreasing functions.
Cool Math
Coolmath: Pre Calculus Graphs to Know and Love
A list and visuals of standard graphs from y = x to an absolute value.
Cool Math
Coolmath: Pre Calculus Shifting, Reflecting, Etc.
Description and examples of shifting and reflecting various graphs.
Cool Math
Coolmath: Exponentials & Logarithms the Exponential Monster
This algebra lesson explains how exponential growth works and what the formulas look like.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Logarithmic and Exponential Functions
Here is a site that clearly and thoroughly explains how to find the derivative of exponential and logarithmic functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Texas Instruments
Texas Instruments: Logistic Growth
Students are introduced to logistic growth curves using a graphing calculator. Lab data includes the number of bacteria over a 20-hour period. The activity numerically approximates the derivative and uses regression to find a curve...
Illustrative Mathematics
Illustrative Mathematics: F Le, a Rei Population and Food Supply
In this task, students analyze the sizes of a country's population and of its food supply to determine when and if food shortages will occur. To solve it, they must construct and compare linear and exponential functions and find where...
Illustrative Mathematics
Illustrative Mathematics: F Le Linear or Exponential?
In this task, young scholars are asked to identify whether changes are linear or exponential. Aligns with F-LE.A.1.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Functions
Students are shown the intersecting graphs of two exponential functions in the format of f(x) = a times b to the power of x, and are asked to explore their characteristics. They discover that the value of each function will increase by a...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth Ii
In this task, students compare exponential and linear functions and find that exponential functions with a base larger than one eventually exceed in value any given linear (or polynomial) function if the value of the input is...
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.
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Polynomial Growth
In this problem, students compare the growth of exponential functions versus polynomial functions and find that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large. Aligns...
Illustrative Mathematics
Illustrative Mathematics: F Le Exponential Growth Versus Linear Growth I
In this task, students analyze two methods of payment to discover how an exponentially increasing quantity eventually surpasses a linearly increasing quantity. Aligns with F-LE.A.3.
Concord Consortium
Concord Consortium: Graphing Exponential Equations
Learn about exponential functions by graphing various equations representing exponential growth and decay. Graph these functions by connecting ordered pairs on x-y axes.
CK-12 Foundation
Ck 12: Analysis: Graphs of Polynomials Using Zeros
[Free Registration/Login may be required to access all resource tools.] In this lesson students use ''X'' and ''Y'' intercepts to graph polynomials of 3rd degree or higher. Students examine guided notes, review guided practice, watch...
Khan Academy
Khan Academy: Graphing Exponential Growth & Decay
Graph exponential functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra Ii: Graphs of Logarithmic Functions
Graph logarithmic functions and find the appropriate graph given the function. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Algebra I: Exponential vs. Linear Growth Over Time
Practice analyzing the end behavior of two functions that model similar real-world relationships, where one function is exponential and the other is polynomial. Students receive immediate feedback and have the opportunity to try...
Khan Academy
Khan Academy: Algebra I: Exponential Functions From Tables & Graphs
Write exponential functions of the basic form f(x)=a * b squared, either when given a table with two input-output pairs, or when given the graph of the function. Students receive immediate feedback and have the opportunity to try...
Khan Academy
Khan Academy: Algebra I: Exponential vs. Linear Models
Given a description of a real-world relationship, determine whether that relationship is linear or exponential. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.