Discrete Relations - Relations Graphs, Tables, Mappings, and Functions

Oct 8, 2026

Discrete relations worksheet for Algebra 1 students, guiding learners to translate given sets of ordered pairs into multiple representations: relation tables, graphs, and mapping diagrams. Problems present several relation sets and require plotting points, building input-output mappings, and interpreting outcomes. The tasks also include checking domain and range and deciding whether each relation is a function, with additional graph-based relation examples.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

Discrete Relations

Representing relations as tables and graphs

Mapping diagrams and domain/range

Determining whether a relation is a function

Kuta Software-Infinite Algebra 1 Name Discrete Relations Date Period Each set of ordered pairs represents a relation. Represent the relation as a table. 1) {(-7, 1),(-3, 0),(-2, -1),(4, 7),(6, 4)} 2) {(-1, -2),(0, -3),(0, 2),(6, -2),(7, -7)} Each set of ordered pairs represents a relation. Represent the relation as a graph. 3) {(-3, -6),(-1, 6),(0, 4),(5, 3),(7, 1)} | | | | | | | | | | y | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | - | 8 | - | 6 | - | 4 | - | 2 | | | | 2 | | 4 | | 6 | | 8 x | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -8 | | | | | | | | | | | | | | | | | | 4) {(-2, 7),(0, 1),(3, -7),(7, -2),(7, 0)} | | | | | | | | | | y | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | - | 8 | - | 6 | - | 4 | - | 2 | | | | 2 | | 4 | | 6 | | 8 x | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -8 | | | | | | | | | | | | | | | | | | Each set of ordered pairs represents a relation. Represent the relation as a mapping diagram. 5) {(-6, -7),(-6, 3),(0, -7),(3, -4),(5, 6)} 6) {(-6, 7),(-5, 6),(3, 5),(3, -4),(6, 4)} Each graph represents a relation. Represent the relation as a table, a set of ordered pairs, and a mapping diagram. Then determine the domain/range and if the relation is a function. 7) | | | | | | | | | | y | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | | | | | | | | 8 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 6 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 4 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | - | 8 | - | 6 | - | 4 | - | 2 | | | | 2 | | 4 | | 6 | | 8 x | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | -4 | | | | | |

FAQs

How do you represent a relation from a set of ordered pairs?

Write the ordered pairs as an x-y relation table, then plot the corresponding points on a coordinate plane for a graph.

What are a mapping diagram and when is it used?

A mapping diagram shows each input value mapped to its output value from the ordered pairs; it is used to visualize the relation’s inputs and outputs clearly.

How do you determine the domain and range of a relation?

The domain is the set of all first coordinates (x-values) and the range is the set of all second coordinates (y-values) appearing in the ordered pairs.

How do you decide whether a relation is a function?

Check whether each x-value is paired with exactly one y-value. If any x corresponds to more than one y, the relation is not a function.

Oct 8, 2026

Uploaded by Olivia Brown