In the real world, functions are mathematical representations of input-output situations. Example: Weekly salary is a function of the hourly pay rate and the number of hours worked.

Provide a unique example of a function and evaluate the function for a specific input.

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Step-by-step explanation:

Given a utility function U(q) = -q²-4q+2 in this case, depending on demand (q), this is function because it is a relationship or correspondence between two magnitudes, so that each value of the first corresponds to a single value of the second (or none); for example to q=-2 U(q) = 6, this means that for a demand (-2) the utility will be maximum (6) , and to -∞<q<(-4-√24)/2 ∧  (-4+√24)/2<q<∞ the utility will be negative;  (-4-√24)/2<q< (-4+√24)/2 the utility will be positive and q=(-4-√24)/2 ∧ q= (-4+√24)/2 there will be no utility

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