Functional Equations with Modulus Functions | The Cheat Solution | ISI B.Stat-B.Math 2015 Problem 8

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In this video, we will learn about the Cheat Solution in Functional Equations with Modulus Functions through ISI B.Stat-B.Math 2015 Problem 8.

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  1. Cheenta Academy for Olympiad & Research
  2. Indian Statistical Institute
  3. Functional Equations
  4. Modulus Functions
  5. The Cheat Solution
  6. ISI B.Stat-B.Math 2015 Problem 8
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Комментарии
Автор

So here's the thing right, you used LMVT and found out that it's a polynomial (which is always Differentiable) and at the same time, it's preserving differences. So shouldn't it be Differentiable anyways?

elinamarchenkova
Автор

Why can't we set y = 0 and directly open mod? What is wrong with this approach? We take one plusminus for the |x| and one plusminus for f(x)-f(0). Then we can move f(0) to other side and rename it to c. Then we will get f(x)=+/-2x+c. Why we can't do this way?

anjanavabiswas