Purple Math
Purplemath: Functions Versus Relations
This lesson offers a thorough explanation of functions, domain and range, and how to find them. Includes multiple example problems and graphs. Great review tool for Algebra students.
Illustrative Mathematics
Illustrative Mathematics: F if Your Father
This is a simple task which has students analyze functions where they assign a father to each student. It addresses the idea that not all functions have real numbers as domain and range values, and the issue of when a function admits an...
McGraw Hill
Glencoe: Exponential Functions [Pdf]
Students are given a real world problem to use to explore exponential functions. Students can also complete the given practice problems after reading the examples.
Windstream
Ojk's Precalculus Study Page: Functions
An introduction to the basic terminology of functions, including how to use the vertical line test on the graph of a relation as a means of testing whether or not it is a function.
Richland Community College
Richland Community College: Exponential Functions and Their Graphs
The site explains exponential functions and characteristics of their graphs.
Oregon State University
Calculus Quest: Questions on Exponential Functions
A set of exercises, complete with solutions, covering the basics of exponential functions, from the laws of exponents to exponential growth and decay.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Introduction to Functions
This introductory tutorial on functions offers important definitions, examples of functions, and practice exercises for you to complete and check.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Piece Wise Function Definitions
Northeast Parallel Architecture Center of Syracuse University provides a quick overview of piece-wise functions, with a concentration on examples.
CK-12 Foundation
Ck 12: Algebra: Composition of Functions
[Free Registration/Login may be required to access all resource tools.] This lesson describes and demonstrates composition of functions. Students examine guided notes, review guided practice, watch instructional videos and attempt...
CK-12 Foundation
Ck 12: Algebra: Input Output Tables for Function Rules
[Free Registration/Login may be required to access all resource tools.] Evaluate a function rule by finding outputs for a given input
ClassFlow
Class Flow: Functions and Their Graphs
[Free Registration/Login Required] Functions can be specified in a number of ways. Students concentrate on functions given by equations involving independent and dependent variables and begin to recognize the different forms to find the...
TeachEngineering
Teach Engineering: Coordinates and the Cartesian Plane
A brief refresher on the Cartesian plane includes how points are written in (x,y) format and oriented to the axes, and which directions are positive and negative. Then students learn about what it means for a relation to be a function...
Texas Education Agency
Texas Gateway: Rational Functions: Predicting the Effects of Parameter Changes
Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.
Cuemath
Cuemath: Reciprocal Function
Explore the world of reciprocal functions in this mini-lesson. Discusses a definition its domain and range, graphing of the reciprocal function, solved examples on reciprocal functions, and interactive questions.
Cuemath
Cuemath: Polynomial Functions
A comprehensive guide for learning all about polynomial functions with definitions, the highest degree of the polynomial, graphing polynomial functions, range and domain of polynomial functions, solved examples, and practice questions.
PBS
Pbs: Academic Vocabulary in the Common Core: Middle School English Language Arts
This video [14:33] shows a demonstration of academic vocabulary instruction through the context of a complex work, a poem. The teacher demonstrates how to access the literal meaning of new vocabulary and then infer the deeper meaning....
Cuemath
Cuemath: Cosine Function
Learn more about cosine functions by exploring unit circles, and angles, how to use them, and their various applications along with some solved examples and a few interactive questions to test your understanding.
Cuemath
Cuemath: Sine Function
A comprehensive guide for learning all about the sine function, unit circle and angles, how to use them, and their various applications. Check out the solved examples and practice questions for better understanding.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: El Lenguaje De Las Funciones
In Spanish. This is an interactive activity to calculate the domain and range of a function, to recognize the graphs of different functions and learn the global behavior of a function.
CK-12 Foundation
Ck 12: Analysis: Graphing Polynomials
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the minimum(s), maximum(s), end behavior, domain, and range of a polynomial graph. Students examine guided notes, review guided practice,...
Sophia Learning
Sophia: Graphing Square Root Function
Create a table of values to graph a square root function and identify the domain and the range.
Analyze Math
Analyze Math: Graphs of Basic Trigonometric Functions
The trigonometry tutorial explores the graphs of the basic trigonometric functions. The interactive tutorial investigates the range, domain, and asymptotes of the functions. The activity has several examples with detailed solutions.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra
This site is a tutorial for students in algebra 2 or for those who need a refresher. The site has explanations, definitions, examples, practice problems and practice tests are found covering topics such as linear equations, graphing,...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Relations and Functions
Hotmath provides 25 practice problems dealing with relations, functions, and their graphs. Each of the practice problems include a step-by-step guide for solving their Algebraic problem.
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