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If every input has an output.

If two outputs are the same, they must have the same input.

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Q: How do you determine whether a table of input output data is a function?
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How do you determine if a relation is a function?

A relation is a function if every input has a distinct output.


When the input of a function is -4 what is the output of the function.?

The output of the function would depend on the specific function itself. Without knowing the function, it is not possible to determine the output.


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A __________ function takes the exponential function's output and returns the exponential function's input.


What is an input-output relationship that has exactly one output for each input?

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If you double the input of a function and it results in half the output and if you triple the input and it results in a third of the output what can be guessed about the function?

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More input results in less output. The function is inversely proportional.


What is the rule to determine how to get the output number from the input number?

The rule that determines the output number based on the input number is known as a function. For example take the function: f(x) = x+1. F is the name of our function, x is the input number, and f(x) is our output number. So if our input number is 3, our function or "rule" says to add one to it. Therefore, f(x), known as the output number, would be 4 since 3+1 = 4.


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What number will the function return if the input is 12.2?

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