With an inverse demand curve, price becomes a function of quantity demanded. This means that changes in the quantity demanded lead to changes in price levels, which is the inverse of a demand curve.

American Journal of Agricultural Economics, Vol. 91, No. 4 (Nov., 2009), pp. 1110-1123 (14 pages) In this article, we advocate more extensive use of the benefit function in specifying price-dependent ...

Realized demand is observed over time, but the underlying functional relationship between price and mean demand rate that governs these observations (otherwise known as the demand function or demand ...

The utility function can be used to derive the demand function, and both concepts relate to utility maximization.