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Q: Do the ordered pairs below represent a relation a function both a relation and a function or neither a relation nor a function (-11) (3-7) (4-9) (8-17)?

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

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.

A relation is also a function if each member of the domain (or x-coordinate) is paired with only one member of the range (or y-coordinate). If the relation is a set of ordered pairs that consists of real numbers a graph can be created to visualize the relation. If a vertical line can be drawn and only crosses or intersects the graph at one point then the relation is also a function.

If a relation can be called a function, it means that the relation maps every element to one and only one other element. If you have some ordered pairs and see that, for example, 1 maps to 4 (1,4) and 1 also maps to 7 (1,7) , you don't have a function.

A function must be well defined. This means that every element in the domain maps to only one element in the range. In more math terms, let a and b be in the domain of f such that a = b. If f is a function, then if a = b, f(a) = f(b). A relation does not need to be well defined. An example of this would be y^2 = 4. y = 2 or -2. An ordered pair that would be part of a relation but not a function would be (x, y^2) vs an ordered pair possible in a function which would be (x^2, y).

Related questions

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

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.

A relation is a set of ordered pairs.A function is a relation such that for each element there is one and only one second element.Example:{(1, 2), (4, 3), (6, 1), (5, 2)}This is a function because every ordered pair has a different first element.Example:{(1, 2), (5, 6), (7, 2), (1, 3)}This is a relation but not a function because when the first element is 1, the second element can be either 2 or 3.

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

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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.

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

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.

A set of ordered pairs, can also be tables, graphs, or a mapping diagram

A relation is also a function if each member of the domain (or x-coordinate) is paired with only one member of the range (or y-coordinate). If the relation is a set of ordered pairs that consists of real numbers a graph can be created to visualize the relation. If a vertical line can be drawn and only crosses or intersects the graph at one point then the relation is also a function.

If a relation can be called a function, it means that the relation maps every element to one and only one other element. If you have some ordered pairs and see that, for example, 1 maps to 4 (1,4) and 1 also maps to 7 (1,7) , you don't have a function.

B.