"If `A={1,\ 2,\ 3}` , show that an onto function `f: A-A` must be one-one"

If A={1,2,3}, show that an onto function f:A rarr A must be one-one

Show that the function f(x)=3x+2 is one one and onto

show that the function f : R to R f : (x) = x^(5) is one-one and onto .

Show that the function f:R rarr R:f(x)=sin x is neither one-one nor onto

A function is said to be bijective if it is both one-one and onto, Consider the mapping f : A rarr B be defined by f(x) = (x-1)/(x-2) such that f is a bijection. A function f(x) is said to be one-one iff :

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

Show that a one-one function f" ":" "{1," "2," "3}-> {1," "2," "3} must be onto.

Show that the function f:N rarr N given by f(x)=3x is one one but not onto

Show that an onto function f" ":" "{1," "2," "3} ->{1," "2," "3} is always one-one.