Definition of Periodic Function
For a function f(x), if there exists a non - zero constant T such that for any x in its domain, f(x + T) = f(x) holds, then f(x) is called a periodic function,…
Syllabus path: Functions › Concepts and Properties of Functions › Periodicity of Functions
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CSCA Mathematics Formula Reference
Formula and explanation
For a function f(x), if there exists a non - zero constant T such that for any x in its domain, f(x + T) = f(x) holds, then f(x) is called a periodic function, and T is called a period of this function. Applicable Condition: The domain of the function must satisfy that both x and x + T are within the domain. Explanation: The minimal positive period is the smallest among all positive periods.
Related tutorial and examples
Periodicity of Functions
Periodicity of Functions 1. Concept Periodicity describes the repeating pattern of a function. Definition: Let the domain of f(x) be D. If there exists a non - zero constant T such that for any x ∈ D: 1. x + T ∈ D 2. f(x + T) = f(x) holds true Then f(x) is a Periodic Function, an…
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