CBSE · Class 6-12

Class 12 · Mathematics (041)

Unit 1 · Class 12Mathematics (041)

Relations and Functions

Relations and Functions

Types of relations, functions, invertibility, and composition.

Lessons

3 concepts

1
Types of Relations
Reflexive, symmetric, transitive. An equivalence relation satisfies all three.
2
One-One & Onto
Injective: distinct inputs $\to$ distinct outputs. Surjective: every codomain element is hit.
3
Invertible Functions
$f$ is invertible iff it is one-one and onto. $(f^{-1})^{-1} = f$ .

Skills to practise

Skill · medium

Relations and Functions — Practice (coming soon)

Practice bank for this unit is in progress. You can still read the lessons above.