Relations and Functions

IMPORTANT

Mathematics Solutions from Chapter -1 - Relations and Functions

This chapter covers topics, such as Special Functions and Their Graphs, Basics of Relations, Invertible Functions & Types of Relations etc.

Practice Other Topics from Relations and Functions

Mathematics>Algebra>Relations and Functions>Cartesian Products of Sets

This topic covers concepts, such as Ordered Pair, Ordered N-tuple, Distributive Property of Cartesian Product over Intersection & Distributive Property of Cartesian Product over Union etc.

This topic covers concepts, such as Definition of Relations on a Set, Domain, Representation of a Relation by Arrow Diagram & Number of Relations between Two Sets etc.

This topic covers concepts, such as Definition of a Function, Representation of a Function as Mapping, Equal or Identical Functions & Graph & Properties of Elementary Functions etc.

Mathematics>Algebra>Relations and Functions>Domain and Range of Functions

This topic covers concepts, such as Domain of a Function & Range of a Function etc.

Mathematics>Algebra>Relations and Functions>Special Functions and Their Graphs

This topic covers concepts, such as Constant Function, Identity Functions, Properties of Signum Function Sgn(x) & Greatest Integer Function [x] etc.

Mathematics>Algebra>Relations and Functions>Algebra of Real Functions

This topic covers concepts, such as Algebraic Operations on Functions, Addition of Two or More Functions, Division of Two Functions & Properties of Algebraic Operations on Functions etc.

Mathematics>Algebra>Relations and Functions>Logarithmic Function and its Properties

This topic covers concepts, such as Logarithmic Functions, Domain & Range of Logarithmic Function, Graph of Logarithmic Functions, Fundamental Logarithmic Identity & The Principle Properties of Logarithm etc.

This topic covers concepts, such as Reflexive Relation on Sets, Symmetric Relation on Sets, Transitive Relation on Sets, Equivalence Relation on Sets & Equivalence Classes and Partitions of a Set etc.

This topic covers concepts, such as Classification of Functions Based on Properties, One-one Function, Many-one Function, Onto Function & Into Function etc.

This topic covers concepts, such as Composite Functions, Finding Composite Functions & Properties of Composite Functions etc.

This topic covers concepts, such as Invertible Function, Inverse of a Function, Finding Inverse of a Function, Properties of Inverse of a Function & Graph of Inverse of a Function etc.

This topic covers concepts, such as Binary Operations, Operation Table (Composition Table), Existence of Inverse for a Binary Operation & Existence of Non-zero Divisors for a Binary Operation etc.