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A relation may assign more than one output value to one of its input value?

True


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 may assign the same output value to two different input values?

True


A relation may assign more than one output value to one of its input values?

True


A function may assign more than one output value to one of its input values?

false


A relation may not assign more than one output value to one of its input values?

false


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.


A function is a relatship that assigns one?

It assigns exactly one output value for each input value.


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 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.