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Concept Maps

Relations and Functions - I — Concept Maps

NIOS · Class 12 · Mathematics

3 concept maps of Relations and Functions - I for NIOS Class 12 Mathematics, each also written out as a text outline.

44 questions25 flashcards2 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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3 Concept Maps

Relations and Functions - Complete Concept Overview

Relations and Functions - Complete Concept Overview

The map in words

  • Relations and Functions
    • Cartesian Product
      • Definition A x B
      • Properties
      • Number of elements
      • Extended to R x R x R
    • Relations
      • Subset of A x B
      • Domain of R
      • Range of R
      • Codomain
      • Types: Void, Universal, Identity
    • Functions
      • Special relation
      • Unique image property
      • Domain and Range
      • Vertical line test
      • Real functions
    • Special Functions
      • Even Functions
        • -x) = f(x
        • Symmetric about y-axis
      • Odd Functions
        • -x) = -f(x
        • Symmetric about origin
      • Common Types
        • Modulus |x|
        • Greatest integer [x]
        • Exponential a^x
        • Logarithmic log x
        • Polynomial
        • Rational
        • Reciprocal 1/x
    • Domain and Range
      • Restrictions
      • Algebraic methods
      • Graphical methods
    • Operations on Functions
      • f+g
      • f-g
      • fg
      • f/g
        • Condition g(x) ≠ 0

Relations and Functions: Concept Hierarchy

Relations and Functions: Concept Hierarchy

The map in words

  • Relations and Functions
    • Cartesian Product
      • Definition A × B
      • n(A × B) formula
      • Properties
    • Relations
      • Subset of A × B
      • Domain Range Codomain
      • Types
        • Void Relation
        • Universal Relation
        • Identity Relation
    • Functions
      • Special Relation Type
      • Domain and Range
      • Real Valued Functions
      • Vertical Line Test
    • Function Classification
      • Polynomial
      • Rational
      • Exponential
      • Logarithmic
      • Special Functions
        • Greatest Integer
        • Signum Function
        • Identity Function
        • Constant Function
    • Function Properties
      • Even Functions
      • Odd Functions
      • Monotonic Functions
      • Inverse Functions
    • Operations on Functions
      • Addition f+g
      • Subtraction f-g
      • Multiplication fg
      • Division f/g

Mind map showing the hierarchical structure of all major topics in Relations and Functions chapter

Mind map showing the hierarchical structure of all major topics in Relations and Functions chapter

The map in words

  • Relations and Functions
    • Cartesian Products
      • Definition
      • Number of elements
      • R × R × R space
    • Relations
      • Definition
      • Domain and Range
      • Co-domain
      • Types of relations
    • Functions
      • Definition
      • Real functions
      • Domain and Range
      • Graphical representation
    • Special Functions
      • Even and Odd
      • Greatest Integer
      • Polynomial
      • Exponential
      • Logarithmic
    • Operations
      • Addition
      • Subtraction
      • Multiplication
      • Division

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Frequently Asked Questions

What are the important topics in Relations and Functions - I for NIOS Class 12 Mathematics?
Key topics in Relations and Functions - I include 1 Cartesian Product of Two Sets, 2 Relations: Definition, Domain, Range, and Codomain, 3 Functions: Definition, Types, and Properties, 3.2 Finding Domain and Range of Functions. Study these first, then practise questions on each for the NIOS Class 12 board exam.
What do the concept maps for Relations and Functions - I show?
The 3 maps show how the ideas in Relations and Functions - I connect: Relations and Functions - Complete Concept Overview; Relations and Functions: Concept Hierarchy. Each map is also written out as an outline on this page.
How should I revise Relations and Functions - I for the NIOS Class 12 board exam?
Learn the core ideas first, then work through the 44 practice questions on Relations and Functions - I. 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.

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All NIOS Class 12 Mathematics Concept Maps

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