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What else can I help you with?
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 an input-output relationship that has exactly one output for each input?
function
How do you determine if a relation is a function?
A relation is a function if every input has a distinct output.
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.
In a function can an input have more than one outputs?
No. If an input in a function had more than one output, that would be a mapping, but not a 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.
A function is a relatship that assigns one?
It assigns exactly one output value for each input value.
Is a function a relation that assigns only one output value to each of its input values?
Answer - True, answer on apex.
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'.
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).
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 relationship in which each input value results in exactly output value?
The relationship where each input value results in exactly one output value is known as a function. In mathematical terms, a function assigns a unique output to each member of its domain, ensuring that no input corresponds to more than one output. This characteristic distinguishes functions from other types of relations, where an input could potentially map to multiple outputs.
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.
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
