Show that the function is many – one into.

Solution:

We need to show that given by is many-one into.
A function which is not onto is into.
A function where more than one element in Set A maps to one
element in Set B is many-one.

For ,
For ,
is many-one.


As the range of is is not equal to the codomain which is the set of Real numbers.
Therefore is not onto, thus it is into.
As a result, is many-one into.