Functions are the base of mathematics and Science. In simple words if we have two sets X and Y of some items then the function can be described as a procedure or a rule that assigns one item of X to another item in Y. For example the rule that squares numbers takes members of the set X={1,2,3,4} to corresponding elements of Y={1,4,9,16}. Mathematically it can be written as f : X→Y, where f is the function, X is tdomain and Y is Range.
Now depending on the rule or procedure, functions have many
types, one of which is one-to-one that we will be discussing. In simple
definition “a function is said to be
one-to-one if no two different elements of X yield the same output in Y” ,
so the example given above can also be classified as one-to-one function.
Let's see two methods to find if the function is one to one or not.
Let's see two methods to find if the function is one to one or not.