Three sets A, B, C are such that A = B $$\cap$$ C and B = C $$\cap$$ A, then

A mapping f : N $$\to$$ N where N is the set of natural numbers is defined as

f(n) = n² for n odd

f(n) = 2n + 1 for n even

for n $$\in$$ N. Then f is

The mapping f : N $$\to$$ N given by f(n) = 1 + n², n $$\in$$ N where N is the set of natural numbers, is

A function f : A $$\to$$ B, where A = {x/$$-$$1 $$\le$$ x $$\le$$ 1} and B = {y/1 $$\le$$ y $$\le$$ 2} is defined by the rule y = f(x) = 1 + x². Which of the following statement is then true?