what are relations and functions ?
Answers
Answer:
Relations and functions – these are the two different words having different meanings mathematically. ... The relation shows the relationship between INPUT and OUTPUT. Whereas, a function is a relation which derives one OUTPUT for each given INPUT. Note: All functions are relations, but not all relations are functions
Answer:
Relation:-
It is a subset of the Cartesian product. Or simply, a bunch of points (ordered pairs). In other words, the relation between the two sets is defined as the collection of the ordered pair, in which the ordered pair is formed by the object from each set.
Example: {(-2, 1), (4, 3), (7, -3)}, usually written in set notation form with curly brackets.
Function:-
A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e every X-value should be associated with only one y-value is called a function.
For example:
DOMAIN :-RANGE
-1 :- -3
1 :- 3
3 :- 9
Let us also look at the definition of Domain and Range of a function.
Domain:-It is a collection of the first values in the ordered pair (Set of all input (x) values).
Range:-It is a collection of the second values in the ordered pair (Set of all output (y) values).
Example:
In the relation, {(-2, 3), {4, 5), (6, -5), (-2, 3)},
The domain is {-2, 4, 6} and range is {-5, 3, 5}.