| Many - One Function: If the function f: A->B is such that 2 or more elements a1, a2.... of A have the same f-image in B, then the mapping is called many-one mapping or many-one function.|
Note that f:A->B is not one-one then it is many-one.
One - One Onto Function
If the function f is both one-one and onto then f is called one-one onto function. It is also called a bijection or a bijective function.
In other words, a function f: A ->B is bijective if
Example: If R->R be a function defined by f(x) = 5x3-8, show that the function is a bijective function.
Directions: Answer the following.