Relations and Functions
Mathematics Solutions from Chapter -1 - Relations and Functions
This chapter covers topics, such as Types of Functions, Invertible Functions, Basics of Functions, Cartesian Products of Sets, Basics of Relations, Composition of Functions, Algebra of Real Functions, Domain and Range of Functions, etc.
Practice Other Topics from Relations and Functions
This topic covers concepts, such as Ordered Pair, Ordered N-tuple, Cartesian Product of Two Sets, Algebraic Properties of Cartesian Product of Sets, Non-commutative Property of Cartesian Product of Sets, etc.
This topic covers concepts, such as Definition of Relations on a Set, Domain, Co-domain and Range of a Relation, Representation of a Relation, Representation of a Relation by Set-builder Method, Representation of a Relation by Roster Method, etc.
This topic covers concepts, such as Definition of a Function, Representation of a Function as Mapping, Representation of a Function in Algebraic Form, Representation of a Function in the Form of Ordered Pairs, Co-domain of a Function, etc.
This topic covers concepts, such as Domain of a Function and Range of a Function.
This topic covers concepts, such as Constant Function, Identity Functions, Linear Functions, Algebraic Functions, Rational Function, Polynomial Functions, Special Type of Functions, Modulus Function IxI, Graph of Modulus Function, etc.
This topic covers concepts, such as Algebraic Operations on Functions, Addition of Two or More Functions, Subtraction of Two or More Functions, Multiplication of Two or More Functions, Multiplication of a Function by a Scalar, etc.
This topic covers concepts, such as Logarithmic Functions, Domain and Range of Logarithmic Function, Graph of Logarithmic Functions, Fundamental Logarithmic Identity, and The Principle Properties of Logarithm.
This topic covers concepts, such as Reflexive Relation on Sets, Symmetric Relation on Sets, Transitive Relation on Sets, Equivalence Relation on Sets, and Equivalence Classes and Partitions of a Set.
This topic covers concepts, such as Classification of Functions Based on Properties, One-one Function, Many-one Function, Onto Function, and Into Function.
This topic covers concepts, such as Composite Functions, Finding Composite Functions, and Properties of Composite Functions.
This topic covers concepts, such as Invertible Function, Inverse of a Function, Finding Inverse of a Function, Properties of Inverse of a Function, and Graph of Inverse of a Function.
This topic covers concepts, such as Binary Operations, Operation Table (Composition Table), Laws of Binary Operations, Closure Property of Binary Operations, Reflexive Property of Binary Operations, Commutative Property of Binary Operations, etc.
