Relations And Functions — Revision Notes
BCECE · Mathematics
Quick revision notes for Relations And Functions — key concepts, formulas, and definitions for BCECE Mathematics preparation.
Revision Notes — Relations And Functions
Key concepts, formulas, and definitions from Relations And Functions for BCECE 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
Get complete revision notes with diagrams and examples — continue in Super Tutor
Key Concepts
Get detailed revision notes for Relations And Functions
Super Tutor gives you interactive content for every chapter of BCECE Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What topics are covered in Relations And Functions for BCECE?
Relations And Functions is an important chapter in BCECE 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 BCECE?
Relations And Functions is a frequently tested chapter in BCECE 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 BCECE?
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.