Class 11

Greatest integer functions mathematics

Introduction: One of the most commonly used functions in mathematics is called the greatest integer function. If the given number is an integer less than or equal to an integer, these functions will round it up to the greatest integer functions. In the next sections, we will examine some of the characteristics of the greatest […]

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

Graphs of simple functions

A function is a process or relationship that connects each element ‘a’ of a non-empty set A to at least one element ‘b’ of another non-empty set B. In Mathematics, a function is a relation f from one set A (the domain of the function) to another set B (the co-domain of the function). Functions

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

Functions in Mathematics

In mathematics, functions are used to show a specific relationship between an element of one non-empty set and another non-empty set – where the assignment of an element of B to each element of the function A from set A to set B, where set A is the domain of the function and set B

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

Functions

Introduction A function in mathematics is a relationship between a group of inputs with one output. A function, in simple terms, is a relationship between inputs in which each input is associated with only one output. Each function has a domain and a co-domain, often known as a range. The general notation is f(x), where

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

Even Function

Even functions are functions in which the value of the function for a given x does not change when we substitute x with -x. These functions are known as “even functions.” The behaviour of the graph of the even function is the same for all of the points on the x-axis that are to the

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

Bounded and Unbounded Set

Unbounded in Mathematics means that the function is not bounded. You have already studied what a set is, and its basic properties, and you have also solved examples of sets.  So, the set which does not have a finite upper or lower bound is known as the Unbounded set, while the set which has a

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

Algebraic Properties of Even and Odd Function

It is possible to “determine algebraically” if a function is even, odd, or neither by taking the function in question, substituting x for x in the equation, simplifying it, and then comparing the simplified version with the original expression. Different approaches, either algebraically or graphically, can be used to describe if a function is even,

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

A Short Note on Odd and Even Function

There are various sorts of functions that we learn in mathematics. We can use algebra or graphics to determine whether a function is even or odd. Even and odd functions can be tested by substituting negative inputs (-x) for x in the function f(x) and examining the resulting output value. The symmetry relations of even

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions

A Guide about Transformation Theorem

One of the related results about the moments and probability distribution of a random variable transformation is the transformation theorem (or vector). A transformation in mathematics is a function f that maps a set X to itself, i.e. f: X —>X. It usually has some geometrical grounding. Linear vector space transformations and geometric transformations, such

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Class 11, Functions and types of functions, IIT JEE, Maths, Sets, Relations, and Functions