A set of ordered pairs does not represent a function if any input (or x-value) is associated with more than one output (or y-value). For example, the set { (1, 2), (1, 3), (2, 4) } does not represent a function because the input 1 corresponds to both outputs 2 and 3. In contrast, a function would have each input linked to exactly one output.
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...
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.
Y is the second number in a set of ordered pairs.
To determine if a set of ordered pairs is not a function, check if any input (x-value) is associated with more than one output (y-value). If you find at least one x-value that corresponds to multiple y-values, then the set is not a function. Additionally, you can visualize the pairs on a graph; if any vertical line intersects the graph at more than one point, it indicates that the relation is not a function.
A set of ordered pairs in which no two ordered pairs have the same first element is known as a "function." In this context, each first element (or input) is associated with exactly one second element (or output), ensuring that each input maps uniquely to an output. This property allows for clear relationships between the elements, making functions a fundamental concept in mathematics.
If a set of ordered pairs is not a relation, the set can still be a function.
B.
Relationship can also be represented by a set of ordered pairs called a function.
A relation is defined as a set of ordered pairs. A function is a special kind of 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.
You didn't show the Ordered Pairs so there is no way this question could be answered.
If there are any pairs with the same second element but different first elements, then it is not a function. Otherwise it is.
Y is the second number in a set of ordered pairs.
A set of ordered pairs that assign to each x-value exactly one y-value is called a function.
(7,-3),(-4,2),(-1,0),(2,-4)(0,-6) What is the domain and range of the set of ordered pairs? Check all that apply
Coordinates
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.