Function f characterized by a relationship of the form
\(f\left ( x \right )=a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+…+a_{1}x+a_{0}\) where \(a_{n}\) is non-zero and the \(a_{i}\) are real numbers or complex numbers.
\(f\left ( x \right )=a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+…+a_{1}x+a_{0}\) where \(a_{n}\) is non-zero and the \(a_{i}\) are real numbers or complex numbers.
The number n indicates the degree of the polynomial function.
Example
The function f defined on the set of real numbers by the relationship \(f\left ( x \right ) = x^{3} – 7x^{2} + 5x + 12\) is a third-degree polynomial function.
Its graph is the following :
