What is a function where each domain element is mapped to the same range element.
Any function is a mapping from a domain to a codomain or range. Each element of the domain is mapped on to a unique element in the range by the function.
It is an invertible function.
A relation is a mapping between two sets, a domain and a range. A function is a relationship which allocates, to each element of the domain, exactly one element of the range although several elements of the domain may be mapped to the same element in the range.
Each element in the domain must be mapped to one and only one element in the range. If that condition is satisfied then the mapping (or relationship) is a function. Different elements in the domain can be mapped to the same element in the range. Some elements in the range may not have any elements from the domain mapped to them. These do not matter for the mapping to be a function. They do matter in terms of the function having an inverse, but that is an entirely different matter. As an illustration, consider the mapping from the domain [-10, 10] to the range [-10, 100] with the mapping defined by y = x2.
For every element on the domain, the relationship must allocate a unique element in the codomain (range). Many elements in the domain can be mapped to the same element in the codomain but not the other way around. Such a relationship is a function.
A function is a mapping from one set to another such that each element of the first set (the domain) is mapped to one element of the second set (the range).
It is an injective relation.
In algebra, a function, is a mapping (or a relationship) between two sets: the domain and the codomain (or range). To each element of the domain, a function assigns one element of the range.
A function is a mapping from a set D to a set Cwhere each element of D is mapped to one (and only one) element of C. D and C are the domain and codomain (range) of the function, and they need not be distinct.
It is the function for which all the elements of the range of the function corresponds to exactly one element of the domain.
If there is an element of the domain that is mapped on to 0 then yes, else no.
Function