Define a surjective function.

How many functions can be defined from a set A containing 5 elements to a set B having 3 elements ? How many of these are surjective functions ?

How many functions can be defined from a set A containing 5 elements to a set B having 3 elements? How many of these are surjective functions?

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

If the function f:R rarrA defined as f(x)=tan^(-1)((2x^(3))/(1+x^(6))) is a surjective function, then the set A is equal to

If the function f:R rarrA defined as f(x)=tan^(-1)((2x^(3))/(1+x^(6))) is a surjective function, then the set A is equal to

Onto function (Surjective function) and Into functions

Statement 1 : For a continuous surjective function f: RvecR ,f(x) can never be a periodic function. Statement 2: For a surjective function f: RvecR ,f(x) to be periodic, it should necessarily be a discontinuous function.

Statement 1: For a continuous surjective function f:Rvec R,f(x) can never be a periodic function.Statement 2: For a surjective function f:Rvec R,f(x) to be periodic,it should necessarily be a discontinuous function.

Statement 1 : For a continuous surjective function f: RtoR ,f(x) can never be a periodic function. Statement 2: For a surjective function f: RtoR ,f(x) to be periodic, it should necessarily be a discontinuous function.