Mathematics: Analysis and Approaches · Topic 2: Functions

AHL2.14 — Odd and even functions; inverses

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Odd and even functions

   Even $f(-x)=f(x)$ (line symmetry), odd $f(-x)=-f(x)$ (rotational symmetry); includes periodic functions.

2. Inverses with domain restriction; self-inverse

   Restricting a domain so $f$ is one-to-one and $f^{-1}$ exists; self-inverse functions with $f^{-1}=f$.