# Wolfram Language & System 10.4 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# FunctionPeriod

FunctionPeriod[f,x]
gives a period p of the function f over the reals such that .

FunctionPeriod[f,x,dom]
gives a period with x restricted to the domain dom.

FunctionPeriod[{f1,f2,},{x1,x2,},]
gives periods for such that .

## DetailsDetails

• A period p is taken to be zero if no period can be found.
• Possible domains dom are Reals, Integers, and Complexes.
• Periods over the Complexes are given in a list and can consist of one or two complex periods.

## ExamplesExamplesopen allclose all

### Basic Examples  (3)Basic Examples  (3)

Find a period of the sine function:

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Plot of two complete periods:

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Find a period of a sequence:

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Plot the sequence:

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Find periods for multidimensional functions:

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Plot the contours:

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