Class 12 Mathematics
Chapter 1: Relations & Functions
1. Relation
A relation from a set A to a set B is a subset of the Cartesian product A × B.
Types of Relations:
• Empty relation
• Universal relation
• Reflexive
• Symmetric
• Transitive
• Equivalence relation
2. Function
A function assigns exactly one element of B to each element of A.
Types of Functions:
• One-One (Injective)
• Many-One
• Onto (Surjective)
• Into
• Bijective
3. Real Valued Functions
Polynomial, Rational, Modulus, Signum, Greatest Integer functions.
4. Domain & Range Rules
• Denominator ≠ 0
• Even root → expression ≥ 0
• Logarithm → argument > 0
Made by: Aaromal Raj Anuraj
Chapter 1: Relations & Functions
1. Relation
A relation from a set A to a set B is a subset of the Cartesian product A × B.
Types of Relations:
• Empty relation
• Universal relation
• Reflexive
• Symmetric
• Transitive
• Equivalence relation
2. Function
A function assigns exactly one element of B to each element of A.
Types of Functions:
• One-One (Injective)
• Many-One
• Onto (Surjective)
• Into
• Bijective
3. Real Valued Functions
Polynomial, Rational, Modulus, Signum, Greatest Integer functions.
4. Domain & Range Rules
• Denominator ≠ 0
• Even root → expression ≥ 0
• Logarithm → argument > 0
Made by: Aaromal Raj Anuraj
