Which of the following is an onto function - (A) `f : [0, 1] rarr [-1, 1], f(x) = sin x` (B) `f:[0,pi]rarr[-1,1],f(x)=cos x` (C) `f:R rarr R,f(x)=e^x` (D) `f: Q rarr Q, f(x)=x^3`

Which one of the following function is suriective but not injective? (A) f:R rarr R,f(x)=x^(3)+x+1(B)f:R,oo)rarr(0,1],f(x)=e^(|x|)(C)f:R rarr R,f(x)=x^(3)+2x^(2)-x+1(D)f:R rarr R+,f(x)=sqrt(1+x^(2))

Check the following functions for one-one and onto (a) f:R rarr R, f(x)=(2x-3)/(7) (b) f:R rarr R, f(x)=|x+1| (c) f:R-{2} rarr R, f(x)=(3x-1)/(x-2) (d) f:R-{-1,1}, f(x)=sin^(2)x .

Which of the following function is surjective but not injective.(a) f:R rarr R,f(x)=x^(4)+2x^(3)-x^(2)+1(b)f:R rarr R,f(x)=x^(2)+x+1(c)f:R rarr R^(+),f(x)=sqrt(x^(2)+1)(d)f:R rarr R,f(x)=x^(3)+2x^(2)-x+1

Which of the following functions is one-one? (1)f:R rarr R defined as f(x)=e^(sgnx)+e^(x^(2))(2)f:[-1,oo)rarr(0,oo) defined by f(x)=e^(x^(2)+|x|)(3)f:[3,4]rarr[4,6] defined f(x)=|x-1|+|x-2|+|x-3|+x-4| (4) f(x)=sqrt(ln(cos(sin x)))

Determine whether the following function f R rarr R are onto : f(x)=x+1 .

Determine whether the following function f R rarr R are onto : f(x)=1 , if x is rational.

If f:R^(+) rarr R , f(x) = x/(x+1) is .......

Determine whether the following function f R rarr R are onto : f(x)=-1 , if x is irrational.

The function f:(-oo, 1] rarr (0, e^(5)] defined as f(x)=e^(x^(3)+2) is

Consider the function f:R rarr R defined by f(x)=|x-1| . Is f(2)=f(0) ,why?