For a function, how many output values can you have for each input value?

In the context of functions in mathematics, a function is defined as a relationship between a set of inputs and a set of outputs, where each input corresponds to exactly one output. This means that for every unique input value, there must be a single, distinct output value associated with it.

This foundational principle ensures that functions maintain consistency, making them predictable for each input. For instance, if you consider a simple function like f(x) = 2x, for each specific input x, there is only one output value produced by the function, determined by multiplying x by 2. This is critical because it allows functions to be graphed, analyzed, and applied systematically in various mathematical contexts.

Thus, the correct response asserts that there can only be one output value for each input value in a function, aligning with the definition and characteristics of functions.