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This question already has an answer here:

The linear demand function is $Q_D = a + b(P)$. I understand from this thread that it can be thought of as a simplification/magnification of the overall demand curve.

Is there an equation that represents a demand curve such as the linear equation represents a linear curve?

Are students taught how to find the equation of the actual curve? (or why not) Almost every example I see is finding the linear function.

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marked as duplicate by Herr K., Giskard, BB King, Maarten Punt, dismalscience Feb 15 at 16:34

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.