Relationship between Periodic Functions and Symmetry
If an odd function f(x) has period T, then its graph is centrally symmetric about points like ((T)/(4), 0) and ((3T)/(4), 0). If an even function f(x) has peri…
Syllabus path: Functions › Concepts and Properties of Functions › Symmetry of Functions
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CSCA Mathematics Formula Reference
Formula and explanation
If an odd function f(x) has period T, then its graph is centrally symmetric about points like ((T)/(4), 0) and ((3T)/(4), 0). If an even function f(x) has period T, then its graph is axially symmetric about lines like x = (T)/(4) and x = (3T)/(4).
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Symmetry of Functions
Symmetry of Functions 1. Concept Symmetry describes the mirroring or rotational relationship of a function's graph. Axial Symmetry (Reflection): The graph is symmetric about a vertical line x = a. (e.g., Even functions correspond to the axis x = 0 ). Central Symmetry (Rotation): …
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