one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
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.
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").
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.
The co-domain or range.
It is the codomain, often called the range.
Function.
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 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.
It is an injective relation.
Function
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
Function
It is an invertible function.
It is the set on which the relation is defined to the set which is known as the range.
Describe how to find the domain and range of a relation given by a set of ordered pairs.
A relation is a mapping from elements of one set, called the domain, to elements of another set, called the range. The function of the three terms: relation, domain and range, is to define the parameters of a mapping which may or may not be a function.