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

false


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

false


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

True


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

It is a bijective function.


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.


What is the output value if the input value is 4?

Without knowing the specific function or equation being used, it is impossible to determine the output value if the input value is 4. In mathematics, the output value is dependent on the specific function or equation being evaluated. To find the output value when the input value is 4, you would need to know the function or equation being used and then substitute 4 in place of the input variable to calculate the output value.