Algebra 13 - Domain and Range of Binary Relations

The video tutorial introduces binary relations between two sets, explaining how elements from one set can be related to elements of another set using ordered pairs. It covers the concepts of domain and range, illustrating how not all elements in the sets need to be involved in the relation. The tutorial also discusses binary relations in algebra, particularly when both sets are real numbers, and how these relations can be represented graphically using Cartesian coordinates. The video concludes with an introduction to graphing relations and the use of scatter plots to identify patterns.

What is a binary relation between two sets?

• A process of sorting elements within a single set

• A method to combine two sets into one

• A technique to find the intersection of two sets

• A way to relate elements of one set to another using arrows or ordered pairs

In a binary relation, what is the domain?

• The set of all elements in both sets

• The set of all elements in the first set

• The set of all elements in the second set

• The set of all elements in the first set that are related to elements in the second set

What is the range in a binary relation?

• The set of all elements in the second set

• The set of all elements in both sets

• The set of all elements in the second set that are related to elements in the first set

• The set of all elements in the first set

How can binary relations on real numbers be visually represented?

• With pie charts

• Using Venn diagrams

• By graphing on Cartesian coordinates

• Through bar charts

What is a scatter plot?

• A graph of finite sets of ordered pairs

• A method to sort data

• A type of pie chart

• A way to calculate averages