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I always see curves (such as in dark blue below) and not any other type of (function) image. May I get a reason for why it is always like that?

enter image description here

This figure is only for representation.

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    $\begingroup$ What exactly do you mean by curves? Non-linear? Continuous? Differentiable? $\endgroup$ – Giskard Mar 25 at 9:08
  • $\begingroup$ @Giskard I don't mean anything in particular. I have always observed that the function images tend to be in the form of a curve (usually continuous) or basically any non-linear function. For example, the shape of the Demand Function is usually a non-linear and continuous (depending on the Price). I am very new to the subject and can not provide too many examples. $\endgroup$ – dictatemetokcus Mar 25 at 9:53
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    $\begingroup$ I really think this needs details or clarity or should be closed; broadly speaking you can call curve virtually any non-straight line. Many relationships, not just in economics but in all fields of science are nonlinear- unless you specify exactly what topic you are interested in not much more can be said about that. You can give reasons why demand should be non linear or why costs should be non-linear but asking to give these reasons for all curves in economics would be way too broad. $\endgroup$ – 1muflon1 Mar 25 at 10:38
  • $\begingroup$ What other kind of image is there???? $\endgroup$ – user253751 Mar 26 at 11:15
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Your final line

This figure is only for representation.

pretty much answers your question.

When explaining these concepts you want to draw something that is easy to understand, i.e. does not have too many irregularities but is also not too regular.

Linearity is a special attribute of functions. General curves show that there is usually no need for this assumption.

Continuity is a frequent though not omnipresent assumption in economics. Rather than throw in a few points of discontinuity and provide reasons for them, it is easier to explain general concepts with continuous curves. This does not mean that most functional relationships are indeed continuous; there are plenty of counterexamples, but where this is important, there are usually discontinuous graphs and explanations thereof.

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  • $\begingroup$ You are right. This is essentially a very broad and not very meaningful question. Can you explain (possibly in gist) why some demand curves are not just upward/downward sloping but rather has so many waves? Is it because of the various factors that affect demand (like : income, price of related products, preferences of the consumers, etc)? I learnt that conventionally these factors are not accounted. $\endgroup$ – dictatemetokcus Mar 25 at 13:58
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    $\begingroup$ I cannot, but I suggest you read the referenced paper and post a new question if something in it puzzles you. $\endgroup$ – Giskard Mar 25 at 21:18

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