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If a set of ordered pairs is not a relation can the set still be a function?

If a set of ordered pairs is not a relation, the set can still be a function.


When is function a relation?

A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.


Is ordered pairs a relation or function?

An ordered pair can represent either a relation or a function, depending on its properties. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (first element of the pair) is associated with exactly one output (second element of the pair). If an ordered pair is part of a set where each input corresponds to only one output, it defines a function. Otherwise, it is just a relation.


Do the ordered pairs below represent a relation a function both a relation and a function or neither a relation nor a function?

To determine if the ordered pairs represent a relation, a function, both, or neither, we need to analyze the pairs. A relation is defined by any set of ordered pairs, while a function is a specific type of relation where each input (first element of the pair) has exactly one output (second element). If any input is associated with more than one output, it is not a function. Without specific ordered pairs provided, I cannot give a definitive answer.


What is the term use to to describe any set of ordered pairs?

A relation is defined as a set of ordered pairs. A function is a special kind of relation ...


Why would removing this ordered pair make the relation a function?

Removing the ordered pair would ensure that each input (or "x" value) in the relation corresponds to exactly one output (or "y" value). A function is defined as a relation where no two ordered pairs have the same first component with different second components. Therefore, eliminating the pair that violates this condition would make the relation a valid function.


What is A set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair of a relation or function?

A set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair in a relation or function is called the "inverse relation." For example, if the original relation consists of pairs (x, y), the inverse relation will consist of pairs (y, x). This transformation can reveal different properties of the relation, such as whether it is one-to-one or onto in the context of functions.


How can you determine that a set of ordered pairs are a graph table diagram equation a function or mere relation?

In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.


What is meaning of relation in math?

A relation is any set of ordered pairs.A function is a relation in which each first element corresponds to exactly one second element


Is a relation always a function or is a function always a 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.


What test tells if a relation is a function?

To determine if a relation is a function, you can use the "vertical line test." If any vertical line drawn on the graph of the relation intersects the graph at more than one point, then the relation is not a function. Additionally, in a set of ordered pairs, a relation is a function if each input (or x-value) corresponds to exactly one output (or y-value).


What are different shapes of functions and relations?

A relation is just a set of ordered pairs. They are in no special order. Therefore there is no particular shape assigned to a relation. A function is a special kind of relation. A relation becomes a function when the x value only has one y value.