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How does the domain relate to a function?
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.
What is the relation in which each element in the domain is mapped to exactly one element the range?
It is an invertible function.
Which relation are function relation?
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.
How would you use domain and range to determine whether a relation is a function?
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.
How do you determined if a relation is a function?
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.
What relations are function in math?
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).
A relation in which each element in the domain is mapped to exactly one element inthe range?
It is an injective relation.
What is is a domain?
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.
How does the word function apply in mathematics?
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.
Describe what it means for a function to be one to one?
It is the function for which all the elements of the range of the function corresponds to exactly one element of the domain.
Do you use the 0 when finding the range of a set of numbers?
If there is an element of the domain that is mapped on to 0 then yes, else no.
A relation in which element of the domain is paired with exactly one element of the range?
Function
