Let `C` and `R` denote the set of all complex numbers and all real numbers respectively. Then show that `f: C->R` given by `f(z)=|z|` for all `z in C` is neither one-one nor onto.

Let CandR denote the set of all complex numbers and all real numbers, respectively. Then, show that f: C rarr R is given by f(z)=|z|, AA z in C , is neither one-one nor onto.

Show that the function f: R->R given by f(x)=cosx for all x in R , is neither one-one nor onto.

Let CC and RR be the sets of complex numbers and real numbers respectively . Show that, the mapping f:CC rarr RR defined by, f(z)=|z| , for all z in CC is niether injective nor surjective.

Show that the function f: RvecR given by f(x)=cosxfora l lx in R , is neither one-one nor onto

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

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

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 modulus function f:R rarr R , given by f(x)=|x| is neither one-one nor onto.

Show that function f: Rrarr R given by f(x) = x^2 is neither one-one nor onto.

Let C be the set of complex numbers. Prove that the mapping F:C to R given by f(z)=|z|, AA z in C, is neither one-one nor onto.