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

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

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

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

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))

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

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

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

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

Which of the following are one-one ,onto (or) bijections? Justify your answer. (i) f: R to R, f(x) =(2x+1)/3 (ii) f: N to N, f(x) = 2x+3 (iii) f:[0, infty) to [0,infty), f(x) = x^(2) (iv) f: R to R, f(x) =x^(2) (v) f: R to (0, infty), f(x) = 5^(x) (vi) f: (0, infty) to R, f(x) = log_(e)^(x) (vii) f: R to R, f(x) = {{:(x, if x gt 2),(5x-2, if x le 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 .