POLYNOMIAL FUNCTION

                                                 POLYNOMIAL FUNCTION

Meaning:

                  A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc. For example, 2x+5 is a polynomial that has exponent equal to 1.

        A polynomial function, in general, is also stated as a polynomial or polynomial expression, defined by its degree. The degree of any polynomial is the highest power present in it. In this article, you will learn polynomial function along with its expression and graphical representation of zero degrees, one degree, two degrees and higher degree polynomials.

Definition:

                    A polynomial function is a function that can be expressed in the form of a polynomial. The definition can be derived from the definition of a polynomial equation. A polynomial is generally represented as P(x). The highest power of the variable of P(x) is known as its degree. Degree of a polynomial function is very important as it tells us about the behaviour of the function P(x) when x becomes very large. The domain of a polynomial function is entire real numbers (R).

If P(x) = a_n xⁿ + a_n-1 x^n-1+.……….…+a₂ x² + a₁ x + a₀, then for x ≫ 0 or x ≪ 0, P(x) ≈ a_n xⁿ.  Thus, polynomial functions approach power functions for very large values of their variables.