Chapter 4 of 27
Revision Notes
Relations And Functions — Revision Notes
MHT-CET · Mathematics
Free Relations And Functions revision notes for MHT-CET Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Relations And Functions for MHT-CET 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 MHT-CET?
Relations And Functions is an important chapter in MHT-CET 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 MHT-CET?
Relations And Functions is a frequently tested chapter in MHT-CET 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 MHT-CET?
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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