Analyze Math
Analyze Math: Differentiation of Exponential Functions
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
Analyze Math
Analyze Math: Differentiation of Hyperbolic Functions
Students learn about differentiation of hyperbolic functions. The tutorial consists of examples with detailed solutions.
University of Texas at Austin
Mathematics Teks Toolkit: Exponential Functions
Compare graphs of different exponential functions and determine the limitations of the functions.
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Functions
Here is a site that clearly and thoroughly explains functions and function notation. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
Purple Math
Purplemath: Inverse Functions: Definition of "Inverse" / Drawing the Inverse
Explains the concept of inverse functions, covers some typical exercises, and demonstrates how to find the inverse of a given function.
Purple Math
Purplemath: Function Notation: Even and Odd
A lesson on function notation contains a section on even and odd functions. An explanation is given on how to algebraically determine if a function is even or odd, along with example problems.
Johan Claeys
Math Abundance: Hyperbolic Functions and Inverses
Site has information and examples for topics about hyperbolic functions and inverses.
Cool Math
Coolmath: Inverse Tricks
Explanation and examples of inverse functions with exponents and logarithms.
Paul Dawkins
Paul's Online Notes: Inverse Functions Practice Problems
n this section we will define an inverse function and the notation used for inverse functions. We will also discuss the process for finding an inverse function.
Paul Dawkins
Paul's Online Notes: Exponential and Logarithm Equations Practice Problems
In this section we will discuss various methods for solving equations that involve exponential functions or logarithm functions.
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
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...
Other
Maplesoft: Inverting Non Invertible Functions
Online help with math apps on function relations.
Illustrative Mathematics
Illustrative Mathematics: F if Parabolas and Inverse Functions
This task assumes an understanding of the relationship between functions and equations. Students try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, then the...
Illustrative Mathematics
Illustrative Mathematics: F Bf 1,000 Is Half of 2,000
This task is about an online mathematics organization that is trying, over a four-year period, to generate 2,000 math problems that cover all grades. This real-life modeling task could serve as a summative exercise that draws on many...
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...
Illustrative Mathematics
Illustrative Mathematics: F Bf a Sum of Functions
For this task, students are asked to sketch a graph that represents the addition of two other functions. They must first analyze the two graphs presented and complete the problem without any formulas being given. Aligns with F-BF.A.1.b.
Concord Consortium
Concord Consortium: Inverses of Functions
Learn how to graph the inverse of a series of discrete and continuous. Also learn how to determine whether the inverse of a function is also a function.
Khan Academy
Khan Academy: Verify Inverse Functions
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Model With Function Combination
Given two basic functions that model a real-world situation, combine them using the appropriate arithmetic operation in order to model a more complex situation. Students receive immediate feedback and have the opportunity to try...
Analyze Math
Analyze Math: Derivative of Inverse Function
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
CK-12 Foundation
Ck 12: Inverse of Functions Through Algebraic Manipulation
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to find the inverse of functions through algebraic manipulation.
CK-12 Foundation
Ck 12: Algebra Ii: Addition and Subtraction of Polynomials
[Free Registration/Login may be required to access all resource tools.] Here you'll learn how to add and subtract polynomials, as well as learn about the different parts of a polynomial. Practice problems are also included.
CK-12 Foundation
Ck 12: Algebra: Multiplying Polynomials
[Free Registration/Login may be required to access all resource tools.] This lesson covers multiplying polynomials. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.