Relations and functions

In Math Relations and Functions play an important role. A set of an ordered pair is termed as the relation. So a relation just signifies the relation between the x and y value in a function.

We can say that relation is just the set of ordered pairs. A function on the other hand is the set of ordered pair in which for every value of x, there is one value of y. How to do Relations and Functions–To do the relations and functions, we express them in brackets just like {x, y}.

The first element of the bracket is x and the x values forms the domain of any function or a relation. The second element of the brackets is y and the y values forms the range of any relation or the function. Math Functions and Relations go hand in hand.

The relations are not functions but a function shows the relation between x and y values. Examples of Relations and Functions are given below: - (1,3) , (2,3) , (5,6) , (7,9). This is a relation consists of ordered pairs where domain is the set {1, 2, 5, 7} and range is {3, 6, 9}.

This signifies a relation and not a function as for both the values 1 and 2, the range is 3. But in a function, there should be just one value of y for every x value.
Graphing Relations and Functions – We can graph the functions and relations, by simply plotting the x values on the x axis and the y values on the y axis. The only difference between a relation and a function is that x value in a function has one and only one y value.

To check whether the given set is a function or not, we can do the vertical line test, in which we check that vertical line drawn through the graph will intersect the function at one point only. Hence if there is a vertical line for each pair then that means it is a function and if not that means it is a relation.

So we can conclude that a function looks like a relation only but the only difference is that it is loyal to its partner that means for every x value in the pair there will be just one y value.