Khan Academy
Khan Academy: Converting Recursive and Explicit Forms of Arithmetic Sequences
Given the explicit formula of an arithmetic sequence, find its recursive formula, and vice versa. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Purple Math
Purplemath: Practical Algebra Lessons
Pre-algebra and algebra lessons, from negative numbers through pre-calculus. Grouped by level of study. Lessons are practical in nature informal in tone, and contain many worked examples and warnings about problem areas and probable...
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: Analysis: Recursive Formulas
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to find a pattern and write a recursive rule. Students examine guided notes, review guided practice and attempt practice problems.
CK-12 Foundation
Ck 12: Algebra: Using Functions to Describe a Situation
[Free Registration/Login may be required to access all resource tools.] Students learn to write a function rule from a table of values and represent real-world situations with a function. Students examine guided notes, review guided...
CK-12 Foundation
Ck 12: Analysis: Recursive Formulas
[Free Registration/Login may be required to access all resource tools.] This lesson provides a review of a variety of sequence types including recursive, arithmetic, and geometric. Students examine guided notes, review guided practice,...
BBC
Bbc: Higher Bitesize Maths: Sequences: Recurrence Relations
A tutorial on recurrence relations focuses on the topic of sequences and works with limits. Several examples are included.
Khan Academy
Khan Academy: Recursive Formulas for Geometric Sequences
Find the recursive formula of a geometric sequence given the first few terms or given an explicit formula.
Khan Academy
Khan Academy: Recursive Formulas for Arithmetic Sequences
Find the recursive formula of an arithmetic sequence given the first few terms.
Khan Academy
Khan Academy: Evaluate Sequences in Recursive Form
Find the first few terms of sequences that are defined recursively.
Curated OER
Definition of the Term Function
A thorough introduction to function terminology, including information about domain and range and when an equation represents a function.
Wolfram Research
Wolfram Math World: Generalized Hyperbolic Functions
This site from MathWorld.com has information on the Hyperbolic functions. This site includes a definition which includes the derivative of such a function, the Euler formula for the function, its Laplace transform, and a list of the...
Wolfram Research
Wolfram Mathworld: Recursion
A brief description of recursive process from MathWorld. Click on any of the highlighted terms for more definitions.
University of Colorado
University of Colorado: Iteration and Recursion Activities
These discrete math activities utilize the concepts of iteration and recursion. Students work in a group to solve real-world problems.
![Inverse Trigonometric Functions [Pdf] Website](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Inverse Trigonometric Functions [Pdf] Website")
Other
Inverse Trigonometric Functions [Pdf]
This is a ten page selection from a math textbook that highlights the concept of inverse trigonometric functions. The book provides real world examples, worked out practice problems and numerous problems for students to attempt on their...
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 1 [Pdf]
Learners use the horizontal line test to determine if a function is one-to-one. The problem consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Horizontal Line Test 2 [Pdf]
Learners use the horizontal line test to determine if a function is one-to-one. The problem consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Inverse Function Graph 1 [Pdf]
Students are given the graph of a function and are asked to sketch the inverse. The resource consists of an enlarged printable version of the function graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Heaviside Step Function [Pdf]
Learners sketch transformations of the Heaviside step function. The step function is available in PDF format.
Help Algebra
Help algebra.com: Algebra Help: How to Find the Inverse of a Function
This page demonstrates the algebraic method for finding the inverse of a function. The examples provided include detailed explanations.
Other
Onlinemath4all: Find Values of Inverse Functions From Tables
Presents a problem on how to find the values of an inverse function using a table. The solution is provided.
Wolfram Research
Wolfram Math World: Algebraic Function
A short definition for what an algebraic function is.