Let f be the realtion on the set N of natural numbers defined by
` f={(n,3n):n in N}` is a function from N to N?If so,find
the range of f.

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find R.

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find domain of R.

If R is a relation on the set N of natural numbers defined by a+3b=12 .Find range of R.

Let be a function defined by f(x) =sqrtx is a function if it defined from f : N to N

Let * be a binary operation on N , the set of all natural numbers defined by a * b = a^b , a, b in N . Is (N,*) associative or commutative?

Find the mean and variance of first n natural numbers.

Let A = {9,10,11,12,13} and let f : A rarr N be defined by f (n) = the highest prime factor of n. find the range of f.

Let N be the set of Natural numbers. Consider the function f:NtoN defined by f(x)=x+1, x in N Prove that f is not onto.