Examine whether the following functions are one-one and onto : `f : R rarrR,f(x)=x^2` for all `x in R`

Examine whether the following functions are one-one and onto : f : N rarrN,f(x)=2x for all x in N

Examine whether the following functions are one-one and onto : f : C rarrR,f(z)=|z| for all z in C , where C is the set of complex numbers.

Examine whether the following functions are one-one or not : f : Z rarr Z, f(x) = x^2+5

Determine whether the following functions are onto or not : f : N rarr N, f(x)=4x

Examine whether the following functions are one-one or not : f : R-{3} rarr R, f(x)=(5x+7)/(x-3)

Determine whether the following functions are onto or not : f : R rarr [-1,1], f(x)=sinx

Determine whether the following functions are onto or not : f : Q-{3} rarr Q, f(x)=(2x+3)/(x-3)

Which of the following functions are injective and surjective? : f : N rarr N,f(x)=x^2+x+1

Show that the function f(x)=3x+2 is one-one and onto.

Examine the continuity of the following function at the given point : f(x) = {(x^2 - 2x + 3, x 1):} x = 1.