Need help finding equation for this graph

Attachment 27165Hi,
I am trying to find the equation used to generate this graph shown in the attachment (any one of the lines).
I suspect it is some type of log function, but I have been away from higher math for many, many years.
Any help would be greatly appreciated.
Thanks,
Flygirl
Attachment 27165

You can probably use fourier series to represent this graph over the different intervals

Quote:

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Originally Posted by flygirl71

Attachment 27165Hi,
I am trying to find the equation used to generate this graph shown in the attachment (any one of the lines).
I suspect it is some type of log function, but I have been away from higher math for many, many years.
Any help would be greatly appreciated.
Thanks,
Flygirl
Attachment 27165

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Hi flygirl71! :)

That looks to be some sort of Bode plot.

For instance a Bode plot of looks like this (link included).
It is typically approximated by a straight-line-plot as you have, with corner points at s=1 (down) and s=10 (back to horizontal).

None of the standard functions, except for the absolute value, has a graph consisting of straight line segments. Such graphs can be produced by piecewise-defined function. The linear function that goes through points and is given by . The top graph goes through (10, -3.2) and (500, -2.3). Therefore, the middle portion of the top graph is given by , and the full top graph is given by



Another way to define f is using min and max functions.