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Relations And Functions — Revision Notes
JCECE · Mathematics
Free Relations And Functions revision notes for JCECE Mathematics 2026 — key concepts, formulas, and definitions for quick revision.
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Key concepts, formulas, and definitions from Relations And Functions for JCECE Mathematics preparation.
Key Topics to Revise
1
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}
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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)]
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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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Key Concepts
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Frequently Asked Questions
What topics are covered in Relations And Functions for JCECE?
Relations And Functions is an important chapter in JCECE 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 JCECE?
Relations And Functions is a frequently tested chapter in JCECE Mathematics. Questions from this chapter appear regularly in previous year papers. There are 348 practice questions available for this chapter.
How to prepare Relations And Functions for JCECE?
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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