Relations and Functions
Mathematics Solutions from Chapter -1 - Relations and Functions
This chapter covers topics such as Types of Functions, Graphs of Functions, Algebraic Operations on Functions, Classification of Functions, Real Valued and Piece Functions & Domain, Codomain and Range of a Relation.
Practice Other Topics from Relations and Functions
In this topic, we will read about the Cartesian product of a set. We will discuss its representation and learn how to write the elements of a Cartesian Product. Moreover, it describes the number of elements in a Cartesian product.
This topic defines the concept of relations with help of examples. We will also learn to calculate the domain and range for relations. Practice exercises are given for a better understanding.
From this topic, we will get information about different terms related to a function. We will further try to differentiate between relations and functions. Moreover, we will explore some examples of functions.
This topic describes the domain and codomain of a relation. In addition, we will learn how to find the range of a relation via some examples. We will also discuss the cardinality of domain and range of a relation.
In this topic, two types of functions are discussed with their definitions, properties and examples. These functions are one-one functions and onto functions.
This topic explores some algebraic operations on functions. It teaches us when two functions are called equal functions. Furthermore, it highlights some properties of some special functions and explains their domain and range.
In this topic, we will deal with some real valued functions. We will also explore some piece functions in detail. Moreover, we will learn how to find the domain and range of piece functions through some examples.
This topic divides the functions into different categories. These categories include constant, polynomial, rational, signum, and exponential functions. We will also discuss their graphs to enhance our knowledge.
In this topic, we will deal with some special functions like signum functions or logarithmic functions. We will also study about the domain and range of these functions. It also covers their graphs for better learning.
In this topic, we will learn how to find the domain and range of functions. We will come across several examples related to this topic. We can further remember some basic conditions to find the range of a function.
The topic will explore the graphs of some known functions. Graphs are a very convenient way to study different properties of a function. In addition, it enhances our interest in the study of functions.
