← GSEB Class 11
Relations and Functions
Chapter Overview
Cartesian products, relations, and functions. Domain, codomain, range. Types: one-to-one, onto, bijective. Real-valued functions: polynomial, rational, modulus, signum. Algebra of functions.
Topics Covered
- Cartesian Product
- Relations
- Domain and Range
- Function Types
- Real Functions
- Function Algebra
Key Formulas
(f+g)(x) = f(x)+g(x)
(fog)(x) = f(g(x))
Real-World Applications
Applications: Physics modeling, economic functions, computer science algorithms.
Study Tips
Tip: Draw graphs for each function type
Tip: Practice GSEB exemplar problems