Find whether `f(x)=x^(3)` forms a mapping or not.

(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

Find whether x^(2)/a^(2)+y^(2)/b^(2)=1 forms a mapping or not.

Determine whether f(x)=(2x+3)/4 for f:RtoR is invertible or not . If so find it.

Let A = {-1, 1, 2, 3, 5}, B = {1, 4, 9, 11, 25, 29}. The rule f given by f(x) = x^(2) is a mapping from A to B. Find the domain and range of the function f.

Let f:[-pi//2,pi//2] rarr [-1,1] where f(x)=sinx. Find whether f(x) is one-one or not.

Find whether f: R->R given by f(x)=x^3+2 for all x in R .

Find whether f(x) is one-one or many-one & into or onto if f:D->R where D is its domain. f(x)=3/4x^2-cospix

Determine whether f(x)=-x//2+sinx is increasing or decreasing on (-pi//3,\ pi//3) .

Determine whether f(x)=-x//2+sinx is increasing or decreasing on (-pi//3,\ pi//3) .

Find whether f: Z->Z given by f(x)=x^2+1 for all x in Z