InterpolatingFunction
 Usage
• InterpolatingFunction[domain, table] represents an approximate function whose values are found by interpolation.
Notes
• InterpolatingFunction works like Function. • InterpolatingFunction[ ... ][x] finds the value of an approximate function with a particular argument x. • In standard output format, only the domain element of an InterpolatingFunction object is printed explicitly. The remaining elements are indicated by <>. • domain specifies the domain of the data from which the InterpolatingFunction was constructed. • If you supply arguments outside of the domain, a warning is generated, and then an extrapolated value is returned. • InterpolatingFunction objects that take any number of real arguments may be constructed. • You can take derivatives of InterpolatingFunction objects using D and Derivative. • NDSolve returns its results in terms of InterpolatingFunction objects. • New in Version 2; modified in 3.
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