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In general, it is very difficult. Even if a graph looks like a straight line over the domain there is no guarantee that the underlying equation makes the equation non-linear as you move away from the visible domain.

A typical example, from school physics, concerns Hooke's law. The extension of a length of wire under different strains follows a linear relationship. Until the strain reaches a critical level and then the relationship goes all haywire.

Looking at the graph below that critical level, the equation would be a straightforward linear one. But that is true only as far as it goes.

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Q: How do you find an equation from a graph?
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