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What else can I help you with?
how is a relation not a function?
A relation is not a function if it assigns the same input value to multiple output values. In other words, for a relation to be a function, each input must have exactly one output. If an input corresponds to two or more different outputs, the relation fails the vertical line test, indicating that it is not a function. For example, the relation {(1, 2), (1, 3)} is not a function because the input '1' is linked to both '2' and '3'.
What is a mapping or pairing of input values with output values?
A relation is a mapping or pairing of input values with output values.
What is an example of a relation that is not a function?
An example of a relation that is not a function is the relation defined by the set of points {(1, 2), (1, 3), (2, 4), (3, 5)}. In this relation, the input value 1 corresponds to two different output values (2 and 3), violating the definition of a function, which states that each input must have exactly one output. Therefore, since one input maps to multiple outputs, this relation is not a function.
A rule that establishes a relationship between input and output?
Relation
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.
Is every relation a function?
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
A relation with exactly one output for each input?
It's a type of function
What is the relation that assigns exactly one output value to one input value?
It is a bijective function.
A relation in which each element of the input is paired with exactly the one element of the output according to a specific rule?
Is called "function".
What is the term for a relation in which each input value corresponds to exactly one output value?
A one-to-one or injective function.
What is an input-output relationship that has exactly one output for each input?
function
What is a mapping or pairing of input values with output values?
A relation is a mapping or pairing of input values with output values.
What is an example of a relation that is not a function?
An example of a relation that is not a function is the relation defined by the set of points {(1, 2), (1, 3), (2, 4), (3, 5)}. In this relation, the input value 1 corresponds to two different output values (2 and 3), violating the definition of a function, which states that each input must have exactly one output. Therefore, since one input maps to multiple outputs, this relation is not a function.
How do you determine if a relation is a function?
A relation is a function if every input has a distinct output.
The production output in relation to a unit of input?
Productivity
A rule that establishes a relationship between input and output?
Relation
What is an input or output relation that has exactly one output for each input?
A one-to-one function, a.k.a. an injective function.
