There are following Algebraic Functions.(1) Polynomial Function (2) Linear Function  (3) Identity Function  (4) Constant function  (5) Rational function   (1) Polynomial Function A function say P of the form P(x) = an xn+an-1 xn-1+an-2 xn-2+an-3 xn-3+. . . + a2 x2+ a1 x+a0 for all where the coefficient an, an-1,  an-2, . . . , a2, a1, a0 are real numbers and the exponents are non-negative integers, is called a polynomial …

  In this post, we define Solution of a Differential Equation, General Solutions,  Particular Solution, Equations with Separable Variables and also Linear Equations.   Solution of a Differential Equation   It is a  relation between variables not involving differential coefficients such that this relation and the derivatives obtained from it satisfy the given differential equation.   General Solutions:    A solution of a …

Function Domain and range of a function Inverse function Graph of Algebraic Function Algebraic Functions Trigonometric Functions Inverse Trigonometric Functions Hyperbolic Functions Inverse Hyperbolic Functions Explicit Function Implicit Functions Parametric function  

In this post we highlight the point that which graph is function and not a function.  If a vertical line intersects a graph in one point, it is the graph of a function. If a vertical line intersects a graph in more than one point, it is not the graph of a function.   READ MORE DEFINITIONS CLICK HERE

In this post we define inverse function and also provide an example to clear the concept of it. The inverse function of f denoted by f-1 is a function from Y onto X and is defined by x= f–1(y)  for all x in y if and only if as y=f(x) , for all x The set X of all possible input values is …

In this post, we find the domain and range of a function with the help of different examples. Example: 1 Find the domain and range  of x2. Solution.  Domain: Set of all real numbers Range:    Set of all non –negative real numbers. Example: 2 Find the domain and range  of    . Solution.  Domain: Set of all real numbers except -2 and …

  Chapter No. 01 Function                                      

Brief Concept Euler(1707-1783)  invented a symbolic way to write the statements “ y is function of x” as y=f(x) which is read as “ y is equal to f of x” .  The variable x is called independent variable  and  the variable y is called the  dependent variable. Definition  (function) A function f from a set X to a set Y is a rule or a correspondence …

       In this post we will give the solved Solved Examples of Trapezoidal and Simpson’s Rule   To cover these questions, pakmath team provide pdf solutions for the students. You can Also see other definitions in Numercial Analysis. Just click on the download button and get the Solved Examples of Trapezoidal and Simpson’s Rule pdf solution file.

Algebra mcqs test 10 consist of 10 most important multiple choice questions. Prepare these questions for better results and also you can prepare definitions of algebra.