One One And Many One Functions

Function|Example|Real Valued Function|One - One And Many - One Function|OMR|Summary

Types Of Functions|One- One Functions|Many -One Functions|Exercise Questions|Onto- Functions|Into -Functions|Exercise Questions|OMR

Injective function(one-one function) and Many- one function

One-one,many-one, into and onto function

Which of the functions defined below is one one function ?

A function is called one - one if each element of domain has a distinct image of co - domain or for any two or more the two elements of domain, function doesn't have same value. Otherwise function will be many - one. Function is called onto if co - domain = Range otherwise into. Function which is both one - one and onto, is called bijective. answer is defined only for bijective functions. Let f:[a, oo)rarr[1, oo) be defined as f(x)=2^(x(x-1)) be invertible, then the minimum value of a, is

Let f:R rarr R and g:R rarr R be two one-one and onto functions such that they are mirror images of each other about the line y=a .If h(x)=f(x)+g(x), then h(x) is (A) one-one onto (B) one-one into (D) many-one into (C) many-one onto

f:[-1,1]rarr[-1,2]f(x)=x+|x|, is (1) one-one onto (2) one-one into (3) many one onto (4) many one into

Which of the following defines as one - one function ?