Introduction to Relations and Functions

Presentation

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

8.F.A.1, HSF.IF.A.1

Standards-aligned

Tracy Munger

Used 155+ times

FREE Resource

14 Slides • 8 Questions

Introduction to Relations, Domain and Range

Please write down the following vocabulary words in your notebook. Fill in the definitions as you follow along with the presentation. You may also want to write down the examples of each.

RELATION -

DOMAIN -

RANGE -

Relation

*a set of ordered pairs

*We use braces { } to represent a set.

*{(2, 9), (4, -2), (7, 8), (1, -4)}

is an example of a relation because it is a {set} of ordered pairs.

A Relation can be represented in 3 different forms -

*As a table *As a mapping diagram *As a graph

WAYS TO REPRESENT A RELATION

DOMAIN

the set of all X VALUES in a relation (set of ordered pairs
the Independent Variable
Input values

Ex. The domain of this relation

{(5,-2), (8,9), (2, -1), (-4, -2)}

is {5, 8, 2, -4}; all the x values

Notice we write the domain in braces { } because the numbers make up a set.

Multiple Choice

What is the domain of this relation? {(2,3), (-4,8), (-5,6)}

{3, 6, 8}

{2, -4, -5}

Multiple Choice

What is the domain?

{1, 2, 3, 4, 5}

(2, 3, 4, 5, 6}

Multiple Select

What is the domain?

{0, 3, 6}

{0, 1, 2}

Fill in the Blanks

What is the domain?

Type answer...

If there are ever two of the same number in the relation, we only list the number ONCE.

Ex. {(2,3), (-1, -1), (2,7)}

The domain is {2,-1}; we only list the 2 ONCE.

Range

the Y VALUES in a relation ( a set of ordered pairs)
the Dependent Variable
the Output Value

Ex. The range of this relation

{(5,-2), (8,9), (2, -1), (-4, -3)}

is {-2, 9, -1, -3}; all the y values

Notice we write the range in braces { } because the numbers make up a set.

Multiple Choice

What is the range of this relation? {(2,3), (-4,8), (-5,6)}

{3, 6, 8}

{2, -4, 5}

Multiple Choice

What is the range?

{1, 2, 3, 4, 5}

(2, 3, 4, 5, 6}

Multiple Select

What is the range?

{0, 3, 6}

{0, 1, 2}

Fill in the Blanks

What is the range?

Type answer...

If there are ever two of the same number, we only list the number ONCE.

Ex. {(2,3), (-1, 3), (2,7)}

The range is {3,7}: we only list the 3 ONCE.

Let's recap today's lesson:

Introduction to Relations, Domain and Range

Show answer

Auto Play

Slide 1 / 22

SLIDE

Similar Resources on Wayground

18 questions

Factor a GCF

Presentation

•

9th Grade

17 questions

Solving 2-Step Equations

Presentation

•

9th Grade

17 questions

CP - Lesson: Transversal Introduction

Presentation

•

9th Grade

16 questions

Interactive Lesson Quadratic Function Transformation

Presentation

•

9th Grade

16 questions

Review of Quadratic Functions

Presentation

•

9th Grade

16 questions

Completing the square

Presentation

•

9th Grade

16 questions

Types of Slopes

Presentation

•

9th Grade

16 questions

CP - Lesson: Function Notation (Part 1)

Presentation

•

9th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

11 questions

Slope from 2 points

Quiz

•

8th - 9th Grade

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

18 questions

SB 12.2 Write in point slope form

Quiz

•

9th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade