[" Show that the function "f:R rarr{x in R:-1

Show that the function f : R rarr {x inR:-1lt x lt1} defined by f(x) =x/(1+|x|),x in R is one one and onto function.

Show that function f:R rarr{x in R:-1

Show that the function f:R rarr R:f(x)={1 if x is rational and -1, if x is irrational is many- one into

Show that the function f: R rarr R defined by f(x) = (3x-1)/2, x in R is one-one and onto function.

Show that the function f:R rarr R given by f(x)=cos x function f:R, is neither one-one nor onto.

Show that the function f:R rarr R given by f(x)=x^(3)+x is a bijection.

Show that the function f:R rarr R given by is injective.

Show that the function f:R rarr R defined as f(x)=x^(2) is neither one-one nor onto.

Show that the function f:R rarr R given by f(x)=x^3 is injective.

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