FUNCTIONS
CLASSIFICATION OF FUNCTIONS Function can be classified mainly into two groups 1.Algebraic Functions 2.Transcendental Functions 1. Algebraic Functions A function which consists of a finite number of terms involving integral and/or fractional powers of the independent variable (argument) x , connected by the four operators +, -, × and ÷ is called an algebraic function. Three particular cases of algebraic functions are the following: i)Polynomial Function A function of the form a 0 x n + a 1 x n-1 + …… + a n where n is a positive integer and a 0, a 1, …… a n are real constants and a 0 ≠ 0 is called a polynomial in x of degree n . Example: F(x) = 2x 4 - 5x -3 – x 2 + 9x - 6 ii)Rational Function A function of the form f(x)/g(x) , where f(x) and g(x) ≠ 0 are polynomials is called a rational function. Example: F(x) = (3x -3 – 9x - 6) / (3x+1) iii)Irrational Function A function involving radicals, viz., fractiona...