Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analyzing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualize equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

Number Sense

Number Sense

Understanding numbers, their relationships and numerical reasoning

Algebra

Algebra

Using symbols to solve equations and express patterns

Geometry

Geometry

Studying shapes, sizes and spatial relationships in mathematics

Measurement

Measurement

Quantifying and comparing attributes like length, weight and volume

Operations

Operations

Performing mathematical operations like addition, subtraction, division

Probability and Statistics

Probability and Statistics

Analyzing uncertainty and likelihood of events and outcomes

Community Resources

Get started with our Resources

Calculator Suite

Explore functions, solve equations, construct geometric shapes

Graphing Calculator

Visualize equations and functions with interactive graphs and plots

Geometry

Explore geometric concepts and constructions in a dynamic environment

3D Calculator

Graph functions and perform calculations in 3D

Scientific Calculator

Perform calculations with fractions, statistics and exponential functions

Notes

Explore our online note taking app with interactive graphs, slides, images and much more

Get started with the GeoGebra Apps

Writing Domain and Range Sets

Writing Domain and Range Sets

Discover the meaning of set notation for domain and range descriptions.

GeoGebra Content Team

Author:

GeoGebra Content Team

Share it with your students:

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Open-ended question 1

How could you write the range of ?

Text and math input

Open-ended question 2

Describe or write the equation of a function that satisfies the following conditions: ,

Text and math input

GeoGebra Content Team

Author:

GeoGebra Content Team

Share it with your students:

Explore more

Prerequisite Resources

Exploration

GR. 6-8

Determining the Complement of a Spinner Event

Practice

GR. 6-8

Determining the Sample Space of an Event by Building Furry Friends

Practice

GR. 6-8

Solving Equations and Inequalities Using Substitution

More from Set Theory

Exploration

GR. 6-8

Notation for Set Operations

Practice

GR. 6-8

Venn Diagrams for Statements about Two Sets

Practice

GR. 6-8

Set Operations and Elements in Sets