Let `R` be the set of real numbers. If `f:R->R` is a function defined by `f(x)=x^2,` then `f` is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) non of these

Let RR be the set of real numbers and f : RR to RR be defined by f(x)=sin x, then the range of f(x) is-

Let R be the set of real numbers and f:R to R be defined by f(x)=x^(2)+2 , then the set f^(-1)(11 le x le 27) is -

Let R be the set of real numbers and f:R to R be defined by f(x)=2x^(2)-5x+6 , then the value of f^(-1)(2) is -

Let S be the set of all triangles and R^+ be the set of positive real numbers. Then the function f: SrarrR^+,f(Delta)=area of Delta ,where Delta in S , is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

Let R be the set of all real numbers f:RrarrR be given by f(x)=3x^2+1 .Then the set f^(-1) , (1,6) is

Let R be the set of real numbers. Define the real function f: R to R by f(x)=x+10 and sketch the graph of this function.

If R denotes the set of all real numbers then the mapping f:R to R defined by f(x)=|x| is -

Let RR be the set of all real numbers and f : R to R be given by f(x) = 3 x^(2) +1 then the set f^(-1) ([1,6]) is -

Let f:R rarr R defined by f(x)= x^2/(1+x^2) . Prove that f is neither injective nor surjective.

Show that f: R->R defined by f(x)=(x-1)(x-2)(x-3) is surjective but not injective.