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Texas Education Agency
Texas Gateway: Determining the Domain and Range for Linear Functions
Given a real-world situation that can be modeled by a linear function or a graph of a linear function, the student will determine and represent the reasonable domain and range of the linear function using inequalities.
Paul Dawkins
Paul's Online Notes: Algebra: The Definition of a Function
Detailed math tutorial features definitions and examples that take a look at relations and functions, function notation, the domain and range of a function, and piecewise functions.
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.
Cool Math
Coolmath: Functions Domain and Range
This algebra lesson explains to find the domain and range of a function by looking at the graph.
Texas Education Agency
Texas Gateway: Determining Reasonable Domains and Ranges (Verbal/graph)
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Texas Education Agency
Texas Gateway: Domain and Range: Numerical Representations
Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
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.
Paul Dawkins
Paul's Online Notes: Function Practice Problems by Paul's Online Notes
In this section we will cover function notation/evaluation, determining the domain and range of a function and function composition.
CK-12 Foundation
Ck 12: Analysis: Domain and Range
[Free Registration/Login may be required to access all resource tools.] This lesson covers finding the domain and range of functions and sets of points. Students examine guided notes, review guided practice, watch instructional videos,...
Khan Academy
Khan Academy: Domain and Range From Graph
Given the graph of a function, determine its domain or range. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Domain, Range, Vertical Line Test
A detailed tutorial on functions covering the following topics: finding the domain and range of a function, using the vertical line test, determining whether a function is even, odd, or neither, and applying the greatest integer function...
Khan Academy
Khan Academy: Domain and Range From Graph
Given the graph of a function, determine its domain or range.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Graphing Functions by Plotting Points
Learn how to graph a function by plotting points and how to determine the domain and range of a function through sample problems and step-by-step solutions and practice problems for you to complete.
Cuemath
Cuemath: Graphing a Quadratic Function
A comprehensive guide for learning all about how to graph a quadratic function with definitions, domain and range of quadratic function, vertex form, standard form, how to solve them, solved examples, and practice questions.
Cuemath
Cuemath: Range in Algebra
Explore the world of range in Algebra in this mini-lesson. Provides a definition and examples that help with understanding how to find the range of a function and domain. Includes solved examples and interactive questions with answers.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Terms and Warnings
Northeast Parallel Architecture Center, Syracuse University, provides a quick overview of the common terminology of functions, as well as restrictions on the domain and range of a function.
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...
Khan Academy
Khan Academy: Determine if a Function Is Invertible
Given the table of values of a function, determine whether it is invertible or not by examining its domain. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Instruments
Texas Instruments: Logarithmic Functions
These questions test knowledge of the definition of a logarithm, domain and range of logarithmic functions, and properties of logarithms. Questions are true/false and multiple-choice; solutions are provided.
Texas Instruments
Texas Instruments: Exponential Functions
These questions test knowledge of domain and range of exponential functions, properties of exponents, and population growth and compound interest modeled by exponential functions. Questions are true/false and multiple choice; solutions...
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,...
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.
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.
Richland Community College
Richland Community College: Functions
Richland Community College gives a definition and examples of a function. Also includes steps to evaluate piecewise functions on a calculator.