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I am not a mathematician and the last time I used a formula complexer than sin(x) was during my university time about 10 years ago.

Recently I saw an interesting graph but I couldn't find its formula or even its name.

here is an almost representation of the graph.

every time the graph descends, it descends to the top of last peak (in y value).

I like to know

  • Is this graph has a name?
  • What is its equation?
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3  
$\sin x + x$ would be close. –  Alex Becker Apr 16 '13 at 2:18
    
@AlexBecker, Thanks for the answer, it is close, but it does not descend to top top of last peak here it is –  BobSort Apr 16 '13 at 2:21

1 Answer 1

up vote 2 down vote accepted

I believe this does the trick: $$f(x) = \frac{2}{3 \pi} x + \cos{x}$$

It doesn't have any special names I'm aware of, though.

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Thanks, this is exactly the answer I was looking for. You mathematicians have an amazing world! Google has a facility to see your graph here is the link –  BobSort Apr 16 '13 at 2:29

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