Period of the Function f(ax + b)
If a function f(x) has period T, then the function f(ax + b) (where a eq 0 ) has period (T)/(|a|). Formula: If f(x + T) = f(x), then f(a(x + (T)/(|a|)) + b) =…
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CSCA Mathematics Formula Reference
Formula and explanation
If a function f(x) has period T, then the function f(ax + b) (where a eq 0 ) has period (T)/(|a|). Formula: If f(x + T) = f(x), then f(a(x + (T)/(|a|)) + b) = f(ax + b). Explanation: After a linear transformation of the independent variable, the period scales by the reciprocal of the absolute value of the coefficient a.
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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