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**C. Important Type of Functions **

**(2) Polynomial Function :**

f(x) = a_{0}x^{n} + a_{1}x^{n - 1} + a_{2} x^{n-2} +.......+ a_{n}

where

**(3) Algebraic Function :** A function is called an algebraic function. If it can be constructed using algebraic operations such as additions, subtractions, multiplication, division taking roots etc.

All polynomial functions are algebraic but converse is not true.

Remark : Function which are not algebraic are called as TRANSCENDENTAL FUNCTION.

**(4) Rational Function : **It is a function of form f(x) = g(x)/h(x )where g(x) & h(x) are poly. function and h(x) ≠ 0

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