Relations And Functions — Revision Notes
MHT-CET · Mathematics
Quick revision notes for Relations And Functions — key concepts, formulas, and definitions for MHT-CET Mathematics preparation.
Revision Notes — Relations And Functions
Key concepts, formulas, and definitions from Relations And Functions for MHT-CET Mathematics preparation.
Key Topics to Revise
1.2 Types of Relations - Problem-Solving Approach
- A relation R from set A to B is a subset of A × B, i.e., R ⊆ A × B
- Domain of R = {a ∈ A : (a,b) ∈ R for some b ∈ B}
- Range of R = {b ∈ B : (a,b) ∈ R for some a ∈ A}
1.3 Types of Functions - Step-by-Step Analysis
- A function f: A → B assigns exactly one element in B to each element in A
- Functions can be one-one (injective), onto (surjective), or bijective (both)
- Total functions from A to B = [n(B)]^[n(A)]
1.4 Composition and Invertible Functions - Advanced Problem Solving
- Composition (g∘f)(x) = g(f(x)) - apply f first, then g
- Composition is associative: f∘(g∘h) = (f∘g)∘h but generally not commutative
- Function has inverse if and only if it is bijective
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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: 1.2 Types of Relations - Problem-Solving Approach, 1.3 Types of Functions - Step-by-Step Analysis, 1.4 Composition and Invertible Functions - Advanced Problem Solving.
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 53 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.