An equivalence relation on a set is one that is transitive, reflexive and symmetric. Given a set A with n elements, the largest equivalence relation is AXA since it has n2 elements. Given any element a of the set, the smallest equivalence relation is (a,a) which has n elements.
The set of all y-coordinates of a relation is known as the range. It consists of all the output values that correspond to the input values (x-coordinates) in the relation. To find the range, you can list all the y-coordinates associated with the given x-coordinates in the relation. This set provides insight into the possible outputs of the relation.
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...
Yes. The set of functions is a subset of the set of relations.
the range
It is the set on which the relation is defined to the set which is known as the range.
If a set of ordered pairs is not a relation, the set can still be a function.
A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.
A set of ordered pairs is a relation. Or Just simply "Coordinates"
A relation is a set of ordered pairs
It is the domain of the relation.
The set of output values of a function or relation is the range
An equivalence relation on a set is one that is transitive, reflexive and symmetric. Given a set A with n elements, the largest equivalence relation is AXA since it has n2 elements. Given any element a of the set, the smallest equivalence relation is (a,a) which has n elements.
A relation R is a set A is called empty relation if no element of A is related to any element of R
The Range is the set of all possible output values of a function or relation.
The set of all y-coordinates of a relation is known as the range. It consists of all the output values that correspond to the input values (x-coordinates) in the relation. To find the range, you can list all the y-coordinates associated with the given x-coordinates in the relation. This set provides insight into the possible outputs of the relation.
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...