Question

What do you mean by domain of a relation/function class xi?

Answer 1

For a relation from set A to set B i.e. aRb, all the elements of set A are called as the domain of the relation R while all the elements of set B are called as the co-domain of the relation R.Range is the set of all second elements from the ordered pairs (a, b) in the relation aRb.Domain of f = {a | a ∈ A, (a, f(a)) ∈ f }Range of f = {f (a) |a ∈ A, f(a) ∈ B, (a, f (a)) ∈ f}For the relation aRb, domain is considered as the input to relation R while the co-domain is the possible outputs and range is the actual output.Similarly for a function, f: A → B,  elements of set A are the inputs and B is the set of possible outputs. But the second elements of all ordered pair of f(A, B) will be the actual outputs.It should be noted that range is a subset of co-domain. If only the rule of function is given then the domain of the function is the set of those real numbers, where function is defined. For a continuous function, the interval from minimum to maximum value of a function gives the range.