Define -relation, function, domain ,range with example

Abhijeet Gaurav Best Answer

Relations and Functions Let’s start by saying that a relation is simply a set or collection of ordered pairs. Nothing really special about it. An ordered pair, commonly known as a point, has two components which are the x and y coordinates. Main Ideas and Ways How to Write or Represent Relations As long as the numbers come in pairs, then that becomes a relation. If you can write a bunch of points (ordered pairs) then you already know how a relation looks like. For instance, here we have a relation that has five ordered pairs. Writing this in set notation using curly braces, Relation in set notation:  However, aside from set notation, there are other ways to write this same relation. We can show it in a table, plot it on the xy-axis, and express it using a mapping diagram. We can also describe the domain and range of a given relation. The Domain is the set of all x or input values. We may describe it as the collection of the first values in the ordered pairs. The Range is the set of all y or output values. We may describe it as the collection of the second values in the ordered pairs. What Makes a Relation a Function? On the other hand, a function is actually a “special” kind of relation because it follows an extra rule. Just like a relation, a function is also a set of ordered pairs; however, every x-value must be associated to only one y-value. For further reference you can go through this website : https://www.mathsisfun.com/sets/domain-range-codomain.html