**relations and functions-A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.**

**What is the difference between relations and functions?**

**A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of for every value of . ... On the other hand if the relation shows that there is more than one output for an input , the relation is not a function.**

**What are the 3 types of relation?**

**There are different types of relations namely reflexive, symmetric, transitive and anti symmetric which are defined and explained as follows through real life examples.**

- Reflexive relation: A relation R is said to be reflexive over a set A if (a,a) € R for every a € R. ...
- Symmetric relation: ...
- Transitive relation:

What is relation and function example?

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.
How do you know if the relation is a function?

ANSWER: Sample answer: You can

**determine whether**each element of the domain is paired with exactly one element of the range. For example,**if**given a graph, you could use the vertical line test;**if**a vertical line intersects the graph more than once, then the**relation**that the graph represents is not a**function**.
Are all relations functions?

Note that both

**functions**and**relations**are defined as sets of lists. In fact, every**function**is a**relation**. However, not every**relation**is a**function**. In a**function**, there cannot be two lists that disagree on only the last element.
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