Functions Limits and Continuity
The concept of limits leads to define and describe continuity and derivative of the function. The continuity of a function has practical as well as theoretical importance. We plot graphs by taking the values generated in the laboratory or collected in the field. We c..
Function
Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function..
Functions
Let A and B be two non-empty sets.Let A and B be two non-empty sets. A function f from A to B is an association of every element of A to an unique element in B. We write this as f : A g B. A is called the domain. B is called the co-doma..
Function
Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has..
Methods of completing a square and to derive the formula for the solution of the quadratic equation
There are two methods to derive the formula for the solution of the quadratic equation (i) Simple Method and (ii) By Sridhar's Method. The quadratic equation has two root..
There are two methods to derive the formula for the solution of the quadratic equation (i) Simple Method and (ii) By Sridhar's Method. The quadratic equation has two root..Representation of a Function
Representation of a Function - A function can be represented by the following methods:A function can be represented by the following metho..
Representation of a Function
A function can be represented by the following methods: (i) An arrow diagram. (ii) Cartesian graph. (iii) Set-builder notatio..
Constant function
A function f : A g B is said to be a constant function, if ..
A function f : A g B is said to be a constant function, if ..Composite function
Let f : A g B and g : B g C be two functions. Let h: A g C be function such that h(x) = g(f(x)) h is called the composite of f and g, denoted by h = g o f. i.e., (g o f) (x) = g (f(x..
Let f : A g B and g : B g C be two functions. Let h: A g C be function such that h(x) = g(f(x)) h is called the composite of f and g, denoted by h = g o f. i.e., (g o f) (x) = g (f(x..Relations and Functions
Relations and Functions - In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m is less than number n . In all ..
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