Definition of an Odd Function
For a function f(x), if for all x in its domain, f( - x) = - f(x) holds, then f(x) is called an odd function. Its graph is symmetric with respect to the origin.
Syllabus path: Functions › Concepts and Properties of Functions › Parity of Functions (Even/Odd)
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CSCA Mathematics Formula Reference
Formula and explanation
For a function f(x), if for all x in its domain, f( - x) = - f(x) holds, then f(x) is called an odd function. Its graph is symmetric with respect to the origin.
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Parity of Functions (Even/Odd)
Parity of Functions (Even/Odd) 1. Concept Parity describes the symmetry of a function's graph. It is a global property. Core Prerequisite: The domain D MUST be symmetric about the origin. If x ∈ D, then - x ∈ D. Given the domain is symmetric: Even Function: Definition: For all x …
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