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Function in Relation


What is function ?

A function is a relation for which each value from the set associated with only one value to another set.

So, only one-to-one relation is consider as a function

One-to-many relation is not a function

Many-to-one relation is not a function

Many-to-many relation is not  a function

 Not all relation is a function

 Not all equation is a function

 all function is a relation

and function is not same as equation

function ≠ equation, but function and equation is relation

Examples

Graph y = 3x + 5


Using 'Vertical Line Test', we can see that for any value of 'x', there is only 1 value for 'y'


Graph x2+y2−4x−3y−6=0



Using 'Vertical Line Test', we can see that for any value of 'x', there are 2 values for 'y'. So, circle graph equation is not a function.

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