Relations and Functions
Mathematics Solutions from Chapter -1 - Relations and Functions
In this chapter, we will discuss about relations, some functions and their graphs. It also explains the algebra of real function along with the cartesian product of sets.
Practice Other Topics from Relations and Functions
This topic discusses Cartesian products of sets with examples. We will also learn how to find empty sets using Cartesian products.
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.
In this topic, we will understand the concept of functions with their meaning and definitions. It also explains other functions with their graphs and talks about the algebra of real functions.
This topic explains concept of the domain and range of functions. Examples are given to understand this concept clearly.
Seven types of functions and their graphs are covered in this topic. These are identity function, constant function, polynomial function, rational functions, the modulus function and the greatest integer function.
This topic explains how to add two real functions, subtract a real function from another, multiply a real function by a scalar (here, real number), multiply two real functions and divide one real function by another.
In this topic, we will get acquainted with the logarithmic functions and their properties. It contains the graph of this function. Some of the properties of logarithmic functions are: product rule, quotient rule, power rule, change of base rule, etc.
