Necessary Condition for Parity
A necessary condition for a function to have parity (odd or even) is that its domain must be symmetric about the origin. That is, if x is in the domain, then -…
Syllabus path: Functions › Concepts and Properties of Functions › Parity of Functions (Even/Odd)
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CSCA Mathematics Concept & Principle Guide
Concept, principle, and explanation
A necessary condition for a function to have parity (odd or even) is that its domain must be symmetric about the origin. That is, if x is in the domain, then - x must also be in the domain.
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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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