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

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 : Q-{3} rarr Q, f(x)=(2x+3)/(x-3)

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

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

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.

State whether the following functions are invertible or not. Give reasons. : f : {5,6,7} rarr {1,2,3,4} defined by f={(5,1),(6,3),(7,4)}

State whether the following functions are invertible or not. Give reasons. : f : {2,3,4,5} rarr {a,b,c,d} defined by f={(2,a),(3,b),(4,c),(5,d)}

Which of the following functions are injective and surjective? : f : Z rarr Z,f(x)=x^3