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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.
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 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
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.
