Inverse Relation Graph
Inverse relations are represented graphically by drawing points and then reflecting them across the line y = x. Here are the steps:
Step 1: Select any point from the original graph.
Step 2: Swap the x and y values to create new coordinates that indicate the inverse connection.
Step 3: Draw these additional points on the graph to show the inverse relationship.
Example:
- Original Relation: Points (0, 2), (-2, 0), (-4, 2), (-2, 4).
- Inverse Relation: (2, 0), (0, -2), (2, -4), (4, -2).
Simply reflect the original points across the line y = x to get the inverse relation graph.
Inverse Relation
Inverse Relation: An inverse relation is the opposite of a given relation obtained by interchanging or swapping the elements of each ordered pair. In simple terms, if (x, y) is a point in a relation R, then (y, x) is an element in the inverse relation.
In this article, we will learn about Inverse Relation including their domain, range, and other properties as well.
Table of Content
- What is an Inverse Relation?
- Inverse Relation Meaning
- Examples of Inverse Relation
- Properties of Inverse Relations
- Domain and Range of Inverse Relation
- Inverse Relation Theorem
- Inverse Relation Graph
- Graphical Representation of Inverse Relation
- Inverse Relation Solved Examples
- Inverse Relation: Practice Problems