Chapter 1 of 8
Concept Maps
Relations and Functions — Concept Maps
Tamil Nadu Board · Class 10 · Mathematics
3 concept maps of Relations and Functions for Tamil Nadu Board Class 10 Mathematics, each also written out as a text outline.
45 questions24 flashcards5 concepts
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3 Concept Maps
Relations and Functions – Complete Chapter Overview
The map in words
- Relations and Functions
- Ordered Pair
- a comma b where order matters
- a comma b not equal to b comma a
- Cartesian Product
- A cross B = all ordered pairs
- n of A cross B = p times q
- Distributive over union and intersection
- Relations
- Subset of A cross B
- Domain = first elements used
- Co-domain = entire set B
- Range = second elements used
- Null relation = empty set
- Functions
- Special relation
- Every input has unique output
- Total functions = q to power p
- Domain Co-domain Range
- Types of Functions
- One-One Injection
- Distinct inputs distinct outputs
- Horizontal line test
- Many-One
- Two inputs same output
- Not one-one
- Onto Surjection
- Range equals co-domain
- Every B element covered
- Into
- Range proper subset of co-domain
- Some B elements uncovered
- Bijection
- One-one AND onto
- n of A equals n of B
- One-One Injection
- Special Functions
- Constant f of x = c
- Identity f of x = x
- Real Valued function
- Representation
- Ordered pairs set
- Table form
- Arrow diagram
- Graphical form
- Vertical Line Test
- Graphs of Functions
- Linear straight line
- Quadratic parabola
- Cubic S-shaped
- Reciprocal hyperbola
- Modulus V-shape
- Constant horizontal line
- Composition
- g of f of x = g applied to f of x
- NOT commutative
- IS associative
- f circle g circle h
- Ordered Pair
Relations and Functions – Complete Concept Map
The map in words
- Relations and Functions
- Ordered Pair
- Definition a,b
- Order Matters
- a,b not equal to b,a
- Cartesian Product
- A cross B
- All ordered pairs
- n of A cross B equals p times q
- Distributive over Union
- Distributive over Intersection
- Relations
- Subset of A cross B
- Domain
- Co-domain
- Range
- Null Relation
- Functions
- Special Relation
- Each input one output
- Domain Co-domain Range
- Number of functions q power p
- Representations
- Ordered Pairs
- Table
- Arrow Diagram
- Graph
- Types of Functions
- One-One Injection
- Many-One
- Onto Surjection
- Into
- Bijection
- Graph Tests
- Vertical Line Test
- Horizontal Line Test
- Composition
- g of f of x
- Not Commutative
- Associative
- Standard Graphs
- Linear
- Quadratic
- Cubic
- Reciprocal
- Constant
- Modulus
- Ordered Pair
Relations and Functions - Concept Overview
The map in words
- Relations and Functions
- Cartesian Product
- Definition
- Ordered Pairs
- A × B) = n(A) × n(B
- Distributive Properties
- Relations
- Subset of A × B
- Domain Range Codomain
- Arrow Diagrams
- Ordered Pairs
- Functions
- Special Relations
- Each input one output
- Domain Codomain Range
- Vertical Line Test
- Function Types
- One-one Injection
- Many-one
- Onto Surjection
- Into
- Bijection
- Composition
- Combining Functions
- f ∘ g notation
- Not Commutative
- Associative
- Representations
- Arrow Diagrams
- Ordered Pairs
- Table Form
- Graph Form
- Function Graphs
- Linear f(x)=mx+c
- Quadratic f(x)=ax²+bx+c
- Cubic f(x)=ax³+...
- Reciprocal f(x)=1/x
- Constant f(x)=c
- Cartesian Product
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Explore DiagramsFrequently Asked Questions
What are the important topics in Relations and Functions for Tamil Nadu Board Class 10 Mathematics?
Key topics in Relations and Functions include Ordered Pairs and Cartesian Product, Relations, Functions – Definition and Basic Concepts, Types of Functions. Study these first, then practise questions on each for the Tamil Nadu Board Class 10 board exam.
What do the concept maps for Relations and Functions show?
The 3 maps show how the ideas in Relations and Functions connect: Relations and Functions – Complete Chapter Overview; Relations and Functions – Complete Concept Map. Each map is also written out as an outline on this page.
How should I revise Relations and Functions for the Tamil Nadu Board Class 10 board exam?
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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