Lesson 3: Ways to Express Relations Flashcards
What are the four ways to express a relation?
Ordered Pairs, Table of Values, Mapping Diagram, Graph
What is an ordered pair?
Ordered pair is a composition of the x-coordinate (abscissa) and the y-coordinate (ordinate), having two values written in a fixed order within parentheses.
This way is listing pairs of values (x, y) that show the relationship.
Ordered Pairs
What is the domain of a relation?
The set of all first coordinates (x-values) in the ordered pairs is the domain of the relation.
What is the range of a relation?
The set of all second coordinates (y-values) in the ordered pairs is the range of the relation.
What is a table of values?
A table of values is a way to represent a relation by listing corresponding values of x and y in a tabular format.
This way organizes x and y values in a structured format.
Table of Values
What is a mapping diagram?
A mapping diagram visually represents the relationship between the domain and range by connecting corresponding values with arrows.
This way shows a visual connection between x-values (domain) and y-values (range) using arrows.
Mapping Diagram
What is a graph in terms of relations?
A graph is a visual representation of ordered pairs on a coordinate plane, showing the relationship between x and y values.
This way plots ordered pairs on a coordinate plane to visualize the relation.
Graph
The set of all first coordinates (x-values) from the ordered pairs in a relation.
Domain
The set of all second coordinates (y-values) from the ordered pairs in a relation.
Range
A visual representation of a relation where arrows connect domain values to range values.
Mapping Diagram
The horizontal number line in a coordinate plane.
X-axis
The vertical number line in a coordinate plane.
Y-axis
The point where the x-axis and y-axis intersect.
Origin