Algebraic And Transcendental Function
Functions of Class 11
Algebraic And Transcendental Function
Algebraic Function
An algebraic function is any function y = f(x) which satisfies an equation of the form
P0(x) yn + P1(x) yn-1 + . . . + Pn(x) = 0
Where P0(x), P1(x), . . . Pn(x) are certain polynomials in x. Clearly, every rational and irrational function is an algebraic function.
Transcendental Function
A function that is not an algebraic function is called a transcendental function. Examples are trigonometric, logarithmic, and exponential functions.
- Introduction
- Algebraic Operations On Functions
- Type of Functions
- Composition of functions
- Invertible Functions
- Domain and Range of Inverse Trigonometric Functions
- Odd And Even Functions
- Periodic Functions
- Methods to Find Period of A Periodic Function
- Signum Function
- Greatest Integer Function
- Modulus Function or Absolute Value Function
- Rational And Irrational Function
- Algebraic And Transcendental Function
- Explicit Function
- Exercise 1
- Exercise 3(Subjective)
