A collection of ordered pairs, also known as a relation, is a fundamental mathematical concept closely associated with functions, graphs, and mappings. In a set of ordered pairs, each pair consists of two elements, often denoted as (x, y), where x represents the domain element and y represents the range element.
What is a Set of Ordered Pairs Called?
A set of ordered pairs, also known as a relation, is a mathematical object that represents a relationship between two sets. Each ordered pair consists of two elements, one from each set.
The elements of an ordered pair are typically written as (x, y), where x is the first element and y is the second element. For example, the ordered pair (1, 2) represents the relationship between the number 1 and the number 2.
Sets of ordered pairs can be used to represent a variety of relationships, including:
- Functions
- Graphs
- Matrices
Functions
A function is a relation that assigns to each element of one set a unique element of another set. The set of ordered pairs that represent a function is called the graph of the function.
Graphs
A graph is a visual representation of a set of ordered pairs. The x-coordinates of the ordered pairs are plotted on the horizontal axis, and the y-coordinates are plotted on the vertical axis.
Matrices
A matrix is a rectangular array of numbers. Each element of a matrix is an ordered pair, where the first element is the row number and the second element is the column number.
Table of Examples
| Type of Relationship | Set of Ordered Pairs |
|---|---|
| Function | {(1, 2), (2, 4), (3, 6)} |
| Graph | {(1, 2), (2, 3), (3, 4)} |
| Matrix | $$\begin{bmatrix} 1 & 2 \\\ 3 & 4 \end{bmatrix}$$\\ |
Question: What is a mathematical collection of ordered tuples referred to as?
Answer: A set of ordered pairs is called a relation.
Question: What is the mathematical term for a collection of points that define a geometric figure?
Answer: A set of ordered pairs that defines a geometric figure is called a curve.
Question: What is the name for a collection of values that obey certain criteria?
Answer: A set of ordered pairs that satisfy a given condition is called a constraint.
Well, there you have it, folks! The mystery of the name for a set of ordered pairs has been solved. From now on, you’ll always know what to call those pesky collections of points. Thanks for reading, and be sure to check back soon for more mind-boggling revelations. Until next time, stay curious and keep those brain cells active!