CBSE · Class 6-12

Class 11 · Mathematics (041)

Unit 2 · Class 11Mathematics (041)

Sets and Functions

Relations and Functions

Cartesian products, relations, functions, domain, range, real-valued functions.

Formative-only for boards

Composition of functions

Learn these concepts — they won't appear in the CBSE 2026-27 board paper.

Lessons

4 concepts

1
Cartesian Product
For sets $A, B$ : $A \times B = \{(a, b) : a \in A,\, b \in B\}$ . $|A \times B| = |A| \cdot |B|$ .
2
Relations
A relation $R$ from $A$ to $B$ is any subset of $A \times B$ . Domain = set of first components; range = set of second components.
3
Functions
A function $f : A \to B$ assigns each $a \in A$ a unique $b \in B$ . Types: identity, constant, polynomial, rational, modulus $|x|$ , greatest integer $\lfloor x \rfloor$ , signum.
4
Algebra of Real Functions
For real-valued $f, g$ : define $f \pm g$ , $fg$ , $f/g$ pointwise. Composition is formative-only for 2026-27 boards.

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.