Chapter 2 of 5
Concept Maps
Relations and Functions — Concept Maps
Punjab Board · Class 11 · Mathematics
3 concept maps of Relations and Functions for Punjab Board Class 11 Mathematics, each also written out as a text outline.
45 questions25 flashcards5 concepts
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3 Concept Maps
Decision Tree: Checking if a Relation is a Function
The map in words
- Start: Examine Relation
- Does every element in domain have an image?
- NO: ❌ NOT a Function
- Missing element or undefined value
- YES: Does any element have MORE THAN ONE image?
- YES: ❌ NOT a Function
- One input maps to multiple outputs
- NO: ✓ IS a Function
- Each input has exactly one output
- YES: ❌ NOT a Function
- NO: ❌ NOT a Function
- Does every element in domain have an image?
Relations and Functions – Complete Chapter Overview
The map in words
- Relations and Functions
- Cartesian Product
- Ordered Pairs
- a comma b not equal to b comma a
- Equality condition
- P cross Q formula
- All pairs p comma q
- n of AxB equals p times q
- Special Products
- R cross R is 2D plane
- R cross R cross R is 3D space
- A cross A cross A is triplets
- Ordered Pairs
- Relations
- Subset of A cross B
- Domain
- First elements of pairs
- Range
- Second elements of pairs
- Codomain
- Entire set B
- Range is subset of Codomain
- Total Relations
- 2 power pq
- Representations
- Set builder form
- Roster form
- Arrow diagram
- Functions
- Special Relation
- Each input has exactly one output
- Every element of A has image
- f colon A to B notation
- f of a equals b
- Real Functions
- Domain subset of R
- Range subset of R
- Types of Functions
- Identity f of x equals x
- Constant f of x equals c
- Polynomial
- Non negative integer powers
- Rational p of x over q of x
- Modulus absolute value of x
- Signum Sign function
- Greatest Integer Floor
- Algebra of Functions
- Addition f plus g
- Subtraction f minus g
- Scalar Multiplication
- Product fg
- Quotient f over g
- Cartesian Product
Complete Mind Map: Relations and Functions — Chapter Overview
The map in words
- Relations and Functions
- Cartesian Product
- Definition P x Q
- All ordered pairs p q
- p in P and q in Q
- Key Formula
- n of A x B equals n A times n B
- Properties
- A x B not equal to B x A
- Distributive Laws
- If P or Q empty then P x Q empty
- Special Cases
- R x R is 2D plane
- R x R x R is 3D space
- Definition P x Q
- Relations
- Definition
- Subset of A x B
- Representation
- Roster Form
- Set Builder Form
- Arrow Diagram
- Key Terms
- Domain first elements
- Range second elements
- Codomain entire set B
- Total Relations
- 2 raised to pq
- Definition
- Functions
- Definition
- Every element of A has exactly one image
- Types
- Identity f x equals x
- Constant f x equals c
- Polynomial sum of terms
- Rational p x divided q x
- Modulus absolute value
- Signum sign of x
- Greatest Integer floor x
- Real Function
- Domain subset of R
- Range subset of R
- Definition
- Algebra of Functions
- Addition f plus g
- Subtraction f minus g
- Scalar Multiple alpha f
- Product fg pointwise
- Quotient f by g where g not zero
- Cartesian Product
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Explore DiagramsFrequently Asked Questions
What are the important topics in Relations and Functions for Punjab Board Class 11 Mathematics?
Key topics in Relations and Functions include Cartesian Product of Sets, Relations, Functions — Definition and Types, Algebra of Real Functions. Study these first, then practise questions on each for Class 11 exams.
What do the concept maps for Relations and Functions show?
The 3 maps show how the ideas in Relations and Functions connect: Decision Tree: Checking if a Relation is a Function; Relations and Functions – Complete Chapter 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 45 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.
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