`f(x) = x^2- 2x +3, [ 0,3]to A`. Find whether f(x) is injective or not. Also find the set A, if f(x) is surjective.

(i) Find whether f(x)=x+cosx is one-one. (ii) Identify whether the function f(x)=-x^(3)+3x^(2)-2x+4 for f:RtoR is ONTO or INTO (iii) f(x)=x^(2)-2x,[0,3]toA . Find whether f(x) is injective or not. Also find the set A if f(x) is surjective

The function f: R->R , f(x)=x^2 is (a) injective but not surjective (b) surjective but not injective (c) injective as well as surjective (d) neither injective nor surjective

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

f(x)=[(cos x)cot^2x!=0e^(-1//2)\ if\ x=0 find whether the f(x) is continuous at x=0 or not.

If f(x)={(sin3x)/(x), when x!=01,quad when x=0. Find whether f(x) is continuous at x=0

The function f: Rvec[-1/2,1/2] defined as f(x)=x/(1+x^2), is : Surjective but not injective (2) Neither injective not surjective Invertible (4) Injective but not surjective

Let f:[-00,0)->(1, oo ) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) then f(x) is (A) injective but not surjective (B) injective as well as surjective (C) neither injective nor surjective (D) surjective nut not injective

If f'(x)=3x^(2)-(2)/(x^(3)) and f(1)=0, find f(x).

Ilf f(x)={x^3, x 2 , then find the value of f(-1)+f(1)+f(3) . Also find the value (s) of x for which f(x)=2.