Class 11

Truth Table

In math, a truth table is used to conduct logical operations. Boolean algebra or boolean functions are the operations that make up these operations. Its main purpose is to determine whether a propositional phrase is true or false based on the supplied values. The basis for this is boolean algebra. It has one or more […]

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

the composition of functions mathematics

Introduction The composition of functions refers to the process of the combination into a single function of two or more functions. The essential idea is that the function’s input is not numerical. Instead, the input here is another function. In mathematics, a function performs a set of operations on an input to produce an output.

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

Tables

In a nutshell, truth tables can be said as the diagrammatic representations which are often used to detect the validity of statements. These tables are used mainly in the data science field to interpret logical statements more efficiently. Moreover, truth tables comprised two parts, in which data or statement is inserted in the first part,

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

Step Function Related Problems

Functions in mathematics describe relationships between two or more quantities. A step function is a type of relationship in which one quantity gradually increases in relation to another quantity. A step function f domain is divided or partitioned into a number of intervals. A constant step function f(x) exists in each interval. As a result, the

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

Special 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

Sets, Relations, & Functions

Sets, Relation, and Functions are some of the most significant topics when we talk about set theory. In Mathematics, Sets, Relations, and Functions set up the base and serve as the basic building for the whole calculus. Some students find this topic very confusing, but this would be the easiest topic you would ever come

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

Relationship between Intermediate Theorem and Mean Value Theorem

The intermediate value theorem is a continuous function theorem that deals with continuous functions. The intermediate value theorem is important in mathematics, and it is particularly important in functional analysis. This theorem illustrates the advantages of a function’s continuity in more detail. In mathematics, the two most important examples of this theorem are frequently employed

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

Relations and functions

In real life Relation and Function give us the link between any two entities. In our day to day life, we come across many patterns and links that characterize relations such as a relation of a father and a son, brother and sister, etc. Hence, in Mathematics also, we come across so many relations between numbers

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

Rational functions – Definition, Graph

Any function that can be defined by is called a rational function in mathematics. The numerator and denominator of a rational fraction are both polynomials. Polynomial coefficients do not have to be rational numbers; they can be in any field K. A rational function and a rational fraction over K are used in this case.

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

Rational Functions

Introduction A rational function is a function that has a ratio of polynomials. Any function with one variable is called a rational function.  It is represented as  f (x) = p (x) / q (x),  where p (x) and q (x) are polynomials and q (x) is not zero.   It is easy to find

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