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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.


What is the relation that assigns exactly one output value to one input value?

It is a bijective 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 A relationship that assigns exactly one output value to one input value?

It is a injective relationship. However, it need not be surjective and so will not be bijective. It will, therefore, not define an invertible function.


A function is a rule that assigns each value of the variable to exactly one value of the dependent variable?

I found two answers for this question. A function is a rule that assigns to each value of one variable (called the independent variable) exactly one value of another variable (called the dependent variable.) A function is a rule that assigns to each input value a unique output value.


Is a function a relation that assigns only one output value to each of its input values?

Answer - True, answer on apex.


What is the rule that assign exactly one output value to each input value?

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.


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.


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'.


How does a change in the value of an input variable affect the value of an output variable?

The change in the input value is equalto the change in the output value.