Definition of Odd Function

If for any x in the domain of the function f(x), we have f( - x) = - f(x), then f(x) is called an odd function. Its graph is symmetric with respect to the orig…

Syllabus path: Functions › Concepts and Properties of Functions › Symmetry of Functions

CSCA Exam Prep

This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.

Practice related questions (10) · Start mock exam · Sign up — AI explanations · Membership plans

CSCA Mathematics Formula Reference

Formula and explanation

If for any x in the domain of the function f(x), we have f( - x) = - f(x), then f(x) is called an odd function. Its graph is symmetric with respect to the origin.

Related tutorial and examples

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): …

Read the full tutorial and worked examples

Plan your next CSCA study step

Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.