All one-one function are onto functions

All onto functions are one-one functions

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

If (x)=|x-1|+|x-2|+|x-3|,f=[2,3]rarr R is (A) one-one,onto (B) an onto only (C) an identity function (D) an into function only

Prove that the function f:A rarr B is one-one onto,then the inverse function f^(-1):B rarr A is unique.

For functions f: A rarr B and g : B rarr A , gof = I_A . Prove that f is one one and g onto functions .

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

Let the function f: RvecR be defined by f(x)=x+sinxforx in Rdot Then f is one-to-one and onto one-to-one but not onto onto but not-one-to-one neither one-to-one nor onto

Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) such that m!=n 1) f is one one into function2) f is one one onto function3) f is many one into funciton4) f is many one onto function then

Let f: R-{n}->R be a function defined by f(x)=(x-m)/(x-n) such that m!=n 1) f is one one into function2) f is one one onto function3) f is many one into funciton4) f is many one onto funcionn then