# Relation and function essay reflection from students

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*A function is a relation in which no two ordered pairs have the same first element. A function associates each element in its domain with one and only one element in its range. Solution: a) A = {(1, 2), (2, 3), (3, 4), (4, 5)} is a function because all the first elements are different.*

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Relation and function

- “Relations and Functions” are the maximum critical subjects in algebra.
- Relations and functions – those are the 2 exceptional phrases having exceptional meanings mathematically
- we would possibly get pressured approximately their distinction. Before we cross deeper, let’s apprehend the distinction among each with a easy example.
- An ordered pair is represented as (INPUT, OUTPUT):
- The relation shows the relationship between INPUT and OUTPUT. Whereas, a function is a relation which derives one OUTPUT for each given INPUT.
- 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
- relation 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.

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