Yes, but all relations are not functions.
Function is a special case of relation. It means function is a relation but all relations are not functions. Therefore all functions are relations.
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.
No.
The Range is the set of all possible output values of a function or relation.
Because a function has additional restrictions, which the relation may, or may not, satisfy.
The set of all first coordinates of a relation or function is known as the domain. It consists of all the input values for which the relation or function is defined. In the context of a function, these first coordinates correspond to the values that can be mapped to an output in the codomain. Thus, the domain provides information about the permissible inputs for the function or relation.
A function is always a relation, but a relation is not always a function. In mathematics, a relation is a set of ordered pairs, while a function is a specific type of relation where each input (or domain element) is associated with exactly one output (or range element). Therefore, while all functions meet the criteria of being a relation, not all relations satisfy the conditions to be classified as functions.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
No, a function must be a relation although a relation need not be a functions.
Does the graph above show a relation, a function, both a relation and a function, or neither a relation nor a function?
A function is a relation whose mapping is a bijection.