Framing of Formulae
We use alphabets like x, y, z etc., to denote variables. For example the length of a rectangle is denoted by 'l'. It takes different values in different rectangles. A formula is a relation between different variables formed using mathematical symbols. Any given condition can be translated into a ..
Change of subject of formula
In the formula I is called the subject of the formula. To make 'P' the subject of the formula: P x T x R = 100 x..
In the formula I is called the subject of the formula. To make 'P' the subject of the formula: P x T x R = 100 x..Change of subject of formula
In the formula I is called the subject of the formula.In the formula I is called the subject of the formula. To make 'P' the subject of the formula: P x T x R = 100 x I If make 'a' the subject of the formula. m(a + b) = a Cross multiplying. am + bm = a am -a = - bm Take terms containing 'a' to one ..
In the formula I is called the subject of the formula.In the formula I is called the subject of the formula. To make 'P' the subject of the formula: P x T x R = 100 x I If make 'a' the subject of the formula. m(a + b) = a Cross multiplying. am + bm = a am -a = - bm Take terms containing 'a' to one ..(i) An arrow diagram
R = {(1, 1), (2, 3), (4, 6)}..
R = {(1, 1), (2, 3), (4, 6)}..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 a corresp..
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 a corresp..Many-one function
Every one element of A corresponds to more than one element of B. In example 3, one image has three pre-images. In example 4, one image has four pre-images. Therefore, many-one relations in examples 3 and 4 are many-one functions. Consider the following examples and note why these relations are NO..
Every one element of A corresponds to more than one element of B. In example 3, one image has three pre-images. In example 4, one image has four pre-images. Therefore, many-one relations in examples 3 and 4 are many-one functions. Consider the following examples and note why these relations are NO..Range
The set of all the second elements of the ordered pairs of a function is called the rang..
Function
We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule, it is called a fuction. In this chap..
Representation of a Function
A function can be represented by the following methods: (i) An arrow diagram. (ii) Cartesian graph. (iii) Set-builder notatio..
Test for Functions (Summary)
The relation should be one-one or many-one, and Every first element is mapped which means that every pre-image should have an imag..
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