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Concept Maps

Relations and Functions — Concept Maps

ICSE · Class 11 · Mathematics

4 concept maps of Relations and Functions for ICSE Class 11 Mathematics, each also written out as a text outline.

59 questions32 flashcards13 formulas & key relations5 concepts

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A visual representation of a relation R from set A to set B as a subset of the Cartesian product A x B, showing elements of A mapped to elements of B.
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4 Concept Maps

Relations and Functions Overview

Relations and Functions Overview

The map in words

  • Relations and Functions
    • Cartesian Product
      • Ordered Pairs
      • A×B) = n(A)×n(B
      • Arrow Diagrams
    • Relations
      • Subset of A×B
      • Domain Range Codomain
      • Number equals 2^mn
      • Inverse Relations
    • Functions
      • Special Relations
      • One to One Mapping
      • Number equals n^m
      • Function Operations
    • Real Functions
      • Domain Restrictions
      • Standard Types
      • Graphs
      • Range Finding

Relations and Functions - Complete Overview

Relations and Functions - Complete Overview

The map in words

  • Relations and Functions
    • Cartesian Products
      • Ordered Pairs
      • A times B
      • Counting Formula
      • Three Sets
    • Relations
      • Subset of A times B
      • Domain and Range
      • Arrow Diagrams
      • Inverse Relations
      • Counting Relations
    • Functions
      • Special Relations
      • One Output Rule
      • Domain equals A
      • Function Notation
      • Counting Functions
    • Types of Functions
      • Real Functions
      • Constant Function
      • Identity Function
      • Polynomial Functions
      • Rational Functions
      • Modulus Function
    • Function Operations
      • Addition and Subtraction
      • Multiplication
      • Division
      • Domain Restrictions

Relations and Functions Concept Overview

Relations and Functions Concept Overview

The map in words

  • Relations and Functions
    • Cartesian Products
      • Ordered Pairs
      • A × B notation
      • Counting formula n(A)×n(B)
    • Relations
      • Subset of A × B
      • Domain Range Codomain
      • Arrow diagrams
      • Inverse relations
    • Functions
      • Special relations
      • One image per input
      • Function notation f(x)
      • Domain restrictions
    • Types of Functions
      • One-one Injective
      • Onto Surjective
      • Bijective
      • Constant Identity
    • Function Operations
      • Addition Subtraction
      • Multiplication Division
      • Domain considerations
    • Real Functions
      • Square root restrictions
      • Denominator restrictions
      • Range finding methods

Relations and Functions

Relations and Functions

The map in words

  • Relations and Functions
    • Cartesian Product
    • Relation
    • Inverse of a Relation
    • Function
    • Real Functions
    • Standard Real Functions
    • Graphical Test for Function
    • Operations on Real Functions

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Frequently Asked Questions

What are the important topics in Relations and Functions for ICSE Class 11 Mathematics?
Key topics in Relations and Functions include For two sets A and B, An ordered pair (a, A relation from A to B, A function from A to B. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Relations and Functions show?
The 4 maps show how the ideas in Relations and Functions connect: Relations and Functions Overview; Relations and Functions - Complete Overview. Each map is also written out as an outline on this page.
How should I revise Relations and Functions for Class 11 exams?
Learn the core ideas first, then work through the 59 practice questions on Relations and Functions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

More resources for Relations and Functions

All ICSE Class 11 Mathematics Concept Maps

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