### relations and functions

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?
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, everyfunction 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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