Show that the function `f: R to R` defined by `f(x)=2x^(2)`, is neither one - one onto.

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

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 defined by f(x)=x^2+4 is not invertible.

Prove that the function f:N rarr N defined by f(x)=x^2+2 is one-one but not onto.

A function f:R to R is defined by f(x)=2x^(2) . Is the function f one - one and onto ? Justify your answer.

Show that the function f : R_0 rarr R_0 defined by f(x)=1/x , where R_0 is the set of nonzero real numbers is bijective.

Show that the function f : R rarr R defined by f(x)=[x] , where [x] is the greatest integer less than equal to x is neither one-one nor onto.