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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.
A relation in which each element in the domain is mapped to exactly one element inthe range?
It is an injective relation.
A relation in which element of the domain is paired with exactly one element of the range?
Function
What is function and relation?
All functions are relations with the condition that each element of the domain is paired with only one element of the range. A relation is any pairing of numbers from the domain to the range.
What is the domain of the inverse of a relation?
The domain of the inverse of a relation is the range of the relation. Similarly, the range of the inverse of a relation is the domain of the relation.
A relation in which each element of the domain is paired with exactly one element of the range?
A relation where each element of the domain is paired with only one element of the range is a one to one function. A one to one function may also be an onto function if all elements of the range are paired.
What is the relation in which each element in the domain is mapped to exactly one element the range?
It is an invertible function.
Is all relation a function?
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
How do you find domain and range?
Consider the mapping between two sets, A and B. To each element of A is associated a unique element from the set B. The elements of set A which are mapped (the inputs) comprise the domain. The corresponding elements from set B comprise the range.
When can we say that a relation is not a function?
When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").
What is the domain of a relation?
It is the set on which the relation is defined to the set which is known as the range.
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.
