Relations
Q1: What is a Relation?
Answer:
The relation is defined as the subset of the cartesian product A×B which satisfies any specific condition. It links the values of set A to the specific values of set B.
Q2: What is the Domain of a Relation?
Answer:
If a relation is defined on the cartesian product of A×B satisfying a specific condition. Then the set of values taken as input from A satisfying the relation is called the domain of the relation.
Q3: What is the Range of a Relation?
Answer:
For a relation defined on the cartesian product of A×B and satisfying a specific condition. Then the set of values as output taken from B to build the relation is called the range of the relation.
Q4: What is a Function?
Answer:
A relation in which each element of set A is uniquely mapped to the element of set B in the cartesian product of A×B is called a function.
Q5: How to determine if a Relation is a Function?
Answer:
If for each input value, we get a specific and unique output value in a relation then this relation is called the function. Every function is a relation but not every relation is a function.
Introduction to Domain and Range
To understand the concept of Domain and range of a Relation first, we have to learn about Relation. A relation is a set of rules which relates the value of one set to the value of other sets.
The domain of a relation is the set of values that we take as input and the range is the set of the values which are obtained in the form of the answers to the relation.
In this article, we will learn about the Domain and Range of Relations, its examples, and others.
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