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Concept Maps

Relations and Functions — Concept Maps

Jammu & Kashmir Board · Class 11 · Mathematics

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

136 questions56 flashcards9 formulas & key relations5 concepts

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4 Concept Maps

Relations and Functions – Complete Concept Map

Relations and Functions – Complete Concept Map

The map in words

  • Relations and Functions
    • Cartesian Product
      • Definition A times B
      • n of A times B equals pq
      • A times B not equal B times A
      • Ordered Triplet
    • Relations
      • Subset of A times B
      • Domain
        • First Elements
      • Range
        • Second Elements
      • Codomain
        • Whole Set B
      • Range subset Codomain
    • Functions
      • One and Only One Image
      • f colon A to B
      • Image and Preimage
      • Real Functions
        • Domain subset R
        • Range subset R
    • Algebra of Functions
      • f plus g
      • f minus g
      • Scalar Multiple kf
      • Product fg
      • Quotient f over g
        • g of x not equal 0

Relations and Functions - Full Chapter Concept Hierarchy

Relations and Functions - Full Chapter Concept Hierarchy

The map in words

  • Relations and Functions
    • Cartesian Product
      • Ordered Pair p comma q
      • A x B Definition
        • All ordered pairs from A and B
        • If n A = p and n B = q
        • Then n A x B = p x q
      • Properties
        • A x B not equal B x A
        • A x empty set = empty set
        • Ordered Triplet a b c
    • Relations
      • Subset of A x B
      • Domain
        • Set of first elements
      • Range
        • Set of second elements
      • Codomain
        • Entire set B
        • Range is subset of Codomain
      • Representation
        • Arrow Diagram
        • Roster Method
        • Set Builder Method
    • Functions
      • Special Relation
        • Every element of A
        • Has exactly one image in B
      • Notation f colon A to B
      • Key Terms
        • Image of element
        • Preimage of element
        • Domain is set A
        • Codomain is set B
        • Range is set of images
      • Real Functions
        • Domain subset of Real Numbers
        • Range subset of Real Numbers
    • Algebra of Functions
      • Addition f plus g
      • Subtraction f minus g
      • Scalar Multiplication alpha times f
      • Product f times g
      • Quotient f divided by g
        • g x not equal to zero

Relations and Functions — Complete Concept Map

Relations and Functions — Complete Concept Map

The map in words

  • Relations and Functions
    • Cartesian Product
      • Definition A x B
      • n of A x B equals pq
      • Ordered Pair a b
      • Ordered Triplet a b c
      • A x B not equal B x A
    • Relations
      • Subset of A x B
      • Domain first elements
      • Range second elements
      • Codomain full set B
      • Arrow Diagram
      • Total Relations 2 to pq
    • Functions
      • Every element has unique image
      • f colon A to B
      • One to One allowed
      • Many to One allowed
      • One to Many NOT allowed
      • No image NOT allowed
    • Algebra of Functions
      • f plus g sum
      • f minus g difference
      • alpha f scalar multiple
      • fg product
      • f by g quotient
      • Domain intersection rule

Relations and Functions

Relations and Functions

The map in words

  • Relations and Functions
    • Cartesian Product
    • Relation
    • Function
    • Types of Functions
    • Algebra of Real Functions
    • Historical Note

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Frequently Asked Questions

What are the important topics in Relations and Functions for Jammu & Kashmir Board Class 11 Mathematics?
Key topics in Relations and Functions include A pair of elements written, For two non, A relation from a non, The domain is the set. 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 – Complete Concept Map; Relations and Functions - Full Chapter Concept Hierarchy. 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 136 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 Jammu & Kashmir Board Class 11 Mathematics Concept Maps

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