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

Show f:R rarr R defined by f(x)=x^(2)+4x+5 is into

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

Show that the function f : R rarr R given by f(x) =x^(3) is injective.

If the function f: R -> A given by f(x)=(x^2)/(x^2+1) is surjection, then find Adot

Let f:R to R be defined by f(x)=3x-4 . Then, f^(-1) (x) is

Let A=R-{3},B=R-{1} " and " f:A rarr B defined by f(x)=(x-2)/(x-3) . Is 'f' bijective? Give reasons.

f: R rarr R , f(x) = (x-1) (x-2)(x-3) then f is ........

Let A = R - {3} and B = R - {1}. Consider the function f : A rarrB defined by , f(x) = ((x-2)/(x-3)) is f one - one and onto ?

Show that the function given by f(x)=e^(2x) is increasing on R.

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