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

Show that the function f : R rarr {x in R : -1 < x < 1} defined by f(x) = x/(|x|), x in R is one-one function.

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

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 , defined by {(-1,x 0):} is neither one-one nor onto.

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:f(x)=x^(4) is many-one and into.

Show that the function f:R-{3}rarr R-{1} given by f(x)=(x-2)/(x-3) is a bijection.

Show that the function f:R-{3}rarr R-{1} given by f(x)=(x-2)/(x-3) is bijection.