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Mathematica® Teacher's Edition (2002)

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FunctionInterpolation

FilledSmallSquare FunctionInterpolation[expr, x, xmin, xmax] evaluates expr with x running from xmin to xmax and constructs an InterpolatingFunction object which represents an approximate function corresponding to the result.
FilledSmallSquare FunctionInterpolation[expr, x, xmin, xmax, y, ymin, ymax, ... ] constructs an InterpolatingFunction object with several arguments.

FilledSmallSquare You can use FunctionInterpolation to generate a single InterpolatingFunction object from an expression containing several such objects.
FilledSmallSquare See notes for Interpolation.
FilledSmallSquare See The Mathematica Book on the web: Section 3.8.2.
FilledSmallSquare See also: InterpolatingPolynomial, Table.