Illustrative Mathematics
Illustrative Mathematics: F if Bank Account Balance
This task introduces the concept of a step function. It is about the changing balance in a bank account as money is deposited and removed. Aligns with HSF-IF.C.7.b.
Purple Math
Purplemath: Functions: Domain and Range
Discusses the domain and range of a function, and how to find the domain and range from a list of points or from a graph.
Analyze Math
Analyze Math: Domain and Range of Basic Functions
Learners examine a table of domain and range for basic functions. The tutorial includes the domain and range of algebraic, trigonometric, inverse trigonometric, hyperbolic, and logarithmic functions.
CK-12 Foundation
Ck 12: Analysis: Graphing Cube Root Functions
[Free Registration/Login may be required to access all resource tools.] This lesson covers graphing cubed root functions. Students examine guided notes, review guided practice and attempt practice problems.
Purple Math
Purplemath: Graphing General Polynomials, Radicals, Rationals, and Piecewise Fun
This resource provides an overview of graphing, giving examples of general polynomial, radical, rational, and piecewise functions. Also includes advice on common mistakes made by students.
Math Open Reference
Math Open Reference: Range of a Function
Learn about Range of Function with this reference guide. Detailed explanations and examples are given.
BBC
Bbc: Functions
This resource takes a look at graphs of functions, composite functions, inverse functions and how to use completing the square to solve quadratic functions. A number of examples and a practice test are offered.
Math Open Reference
Math Open Reference: Domain of a Function
Resource defines the domain of a function and gives examples of interval notation.
Math Open Reference
Math Open Reference: Function
A complete reference guide to functions including how to use functions, inverse functions, graphing a function, and functions in computer programming. It provides definitions and examples that enhance further explanation.
Khan Academy
Khan Academy: Graphs of Square and Cube Root Functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
Khan Academy
Khan Academy: Domain of Advanced Piecewise Functions
Determine the domain of piecewise functions whose assignment rules have different expression types.
Cuemath
Cuemath: Functions
In this mini-lesson, students will learn about the world of functions. They will explore topics such as how to represent a function, conditions for a function, how to solve a function, types of functions, and various graphs of functions....
CK-12 Foundation
Ck 12: 3.3 Inverse Functions
This section explores the process for finding inverses of functions, and then proving the function and its inverse algebraically. Additionally, it explores how the graphs of functions and their inverses compare to each other, and it...
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.
Curated OER
Function Institute
The Function Institute provides descriptions and examples for linear functions, polynomials functions, rational functions, exponential functions, and trigonometric functions.
Wolfram Research
Wolfram Mathworld: Inverse Function
Site gives a definition of the inverse function as well as the example of the inverse of f(x)=x. Also included are formulas and links to related sites.
Wolfram Research
Wolfram Math World: One to One Functions
A site from Mathworld.com explaining One-to-One Functions. The site contains a definition and links to related sites.
Windstream
Ojk's Precalculus Study Page: Functions Sample Test
A practice test covering the basics of functions, including domain, range, operations, and graphing. Includes an answer page.
Hofstra University
Hofstra University: Applied Calculus: Function Grapher
Students enter functions in standard mathematic notation and the tool creates a graph of the function. Multiple functions can be entered into the learning tool.
Other
Radford Univ.: One to One Functions and Inverse Functions
This is a very short site from Radford University with a definition of One-To-One Functions and Inverse Functions.
Other
Nlreg: Piecewise Function With Two Segments
Contains an example of graphing a piecewise function in a Texas Instruments calculator.
Wolfram Research
Wolfram Math World: Square Root
This math site from Mathworld.com explains what a square root is including information on imaginary numbers and many links. This site also addresses the continued fractions of positive real square roots, in particular the square root of...
Other
Math Pages: Ancient Square Roots
This site from Math Pages proivdes information and gives the Babylonian method for solving square root equations. The site is very intense and in-depth with good information. The material is pretty intense, however, and a background...