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What else can I help you with?
What is an input-output relationship that has exactly one output for each input?
function
What is a rule that assigns exactly one output value to each input value?
A function is a rule which assigns exactly one output f(x) to every input x.
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
What is the relation in which each element in the domain is mapped to exactly one element the range?
It is an invertible function.
What is the output value if the input value is 6?
Anything you like - it depends on the function that relates the output to the input.
A relation with exactly one output for each input?
It's a type of function
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.
What is a relation with the property that for each input there is exactly one output?
That's a proper function, a conformal mapping, etc.
What is an input-output relationship that has exactly one output for each input?
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.
True or false a function is a relation that assigns each input exactly one output?
This is true. Furthermore, functions can be broken down into one-to-one (each input provides a different output), and onto (all of Y is used when f(x) = y).
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.
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.
What term means for each input their is exactly one output?
function
How do you define function and relation?
A relation has pairs of numbers. A function is a special relation where for each input there is one and only one output.
What is a rule that assigns exactly one output value to each input value?
A function is a rule which assigns exactly one output f(x) to every input x.
