Class 11

Introduction  A relation is a set of connections between one set and another. These connections follow some conditions defined by mathematical equations.  Functions are the relations between a set of inputs and a set of outputs. Each input, when put into a function, gives one result. Each number put into the function provides another number. […]

There are many definitions under the topic of set theory. The two main terms it covers are relations and functions. Relations is the mathematical structure that creates connections between two or more sets. Functions, on the other hand, is an expression that defines a relationship between one independent variable and another dependent variable.  A function

A function is a relation between two sets in which every element of one set has only one such image in another set. One of the important functions in mathematics is the Modulus function. We study the modulus and properties of modulus in Class 11 Chapter-2 Relations & Functions. Modulus or Absolute value function is

The operations of the functions, specifically the arithmetic operations, are referred to as the algebra of functions. Algebra of functions is primarily concerned with the four arithmetic operations on functions that are listed below: Addition of functions Subtraction of functions Multiplication of functions Division of functions Here are the formulas of all these opeoperation,                    

A real-valued function is a function whose values are real numbers in mathematics. It is a function that converts each member of its domain to a real number. In addition, a real-valued function is one whose outputs are real numbers, i.e., f: R→R (R stands for Real). Function is frequently described using letters such as f, g,

Something that is linear is something that is related to a line. For the purpose of constructing a line, all of the linear equations are used. A nonlinear equation is one that does not have a straight line as its solution. It has the appearance of a graph curve and has a variable slope value,

The inverse of a function and the composition of a function are two mathematical notions having practical applications. The goal of these two concepts is to improve knowledge of functions and any phrases associated with them.  f(g(x)) or (f g) represents the combination of functions f(x) and g(x), with g(x) operating first (x). It is

It is the process of integrating two or more functions into a single function that is referred to as a composition of functions. A function is a representation of some kind of effort. Take, for example, the process of making bread. Let x represent the flour, and let g(x) represent the function of the food

Introduction Calculus is built on the foundation of functions. A function is a representation of a relationship between two variables. Dependence can be demonstrated in a variety of ways, including tabular form, charts and graphs, and equational form.  When x is substituted with –x, the strange functions return their negative inverse. When f(-x) = -f,

Introduction To understand monotonicity (increasing and decreasing) of functions, it is essential to understand what functions are. In simple words, functions can be understood as a relationship between the input and output so that every input is related to one and only one output. You will find increasing, decreasing, and even constant functions. Functions are