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Relations And Functions — Revision Notes

BVP CET Engineering · Mathematics

Free Relations And Functions revision notes for BVP CET Engineering Mathematics 2026 — key concepts, formulas, and definitions for quick revision.

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Revision Notes — Relations And Functions

Key concepts, formulas, and definitions from Relations And Functions for BVP CET Engineering Mathematics preparation.

Key Topics to Revise

1

Cartesian Product of Sets

  • Cartesian product X × Y is the set of all ordered pairs (x,y) where x ∈ X and y ∈ Y
  • If n(X) = p and n(Y) = q, then n(X × Y) = pq
  • Order matters in Cartesian products: X × Y ≠ Y × X (unless X = Y)
2

Relations

  • A relation R from X to Y is any subset of X × Y
  • Domain of R = set of all first elements in ordered pairs of R
  • Range of R = set of all second elements in ordered pairs of R
3

Functions

  • A function f: X → Y is a special relation where each element in X maps to exactly one element in Y
  • For functions: Domain = X, Co-domain = Y, Range ⊆ Y
  • Vertical Line Test: A graph represents a function if every vertical line intersects it at most once
4

Types of Functions

  • Identity Function: f(x) = x for all x in domain
  • Constant Function: f(x) = c for all x in domain
  • Polynomial Function: f(x) = a₀ + a₁x + a₂x² + ... + aₙxⁿ

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Key Concepts

For nonA relation R from set XA function fIdentity FunctionFor functions f

Frequently Asked Questions

What topics are covered in Relations And Functions for BVP CET Engineering?
Relations And Functions is an important chapter in BVP CET Engineering Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Cartesian Product of Sets, Relations, Functions, Types of Functions.
How important is Relations And Functions for BVP CET Engineering?
Relations And Functions is a frequently tested chapter in BVP CET Engineering Mathematics. Questions from this chapter appear regularly in previous year papers. There are 200 practice questions available for this chapter.
How to prepare Relations And Functions for BVP CET Engineering?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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