My Math Forum Finding the function of this graph

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 January 31st, 2011, 03:33 PM #1 Newbie   Joined: Jan 2011 Posts: 1 Thanks: 0 Finding the function of this graph Hello, I have a simple question. Could anyone tell me how to get a function from a graph. It should be a mathematical way. I am trying to say it should be calculated. It would be cool if you could use this graph as an example. Thx
 January 31st, 2011, 05:13 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs Re: Finding the function of this graph It's challenging to get exact results from a graph, but to me it appears to be a sine function (0,0) with period of about 6.25 whose amplitude is roughly doubling every half period, where f(2) ? 2 thus using these crude guesses we have: $f(x)=a2^{\frac{x}{3.125}}\sin$$\frac{\pi}{3.125} x$$$ $f(2)=a2^{\frac{2}{3.125}}\sin$$\frac{\pi}{3.125}\c dot2$$=2$ $a=\frac{2^{\frac{9}{25}}}{\cos$$\frac{7\pi}{50}$$}$ After some minor simplification: $f(x)\approx2^{\frac{8x+9}{25}}\sec$$\frac{7\pi}{50 }$$\sin$$\frac{8\pi}{25} x$$$

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