Function where f is a polynomial is a polynomial function
It is of the form
f: R → R
f(x) = a 0 + a 1 x + a 2 x 2 + …… + a n x n ,
where n is a non-negative integer (i.e. n is 0, 1, 2, 3, ….)
and a 0 , a 1 , a 2 , a 3 …. a n ∈ R , i.e. a 0 , a 1 , a 2 , a 3 …. a n are all real numbers
Example
f(x) = x 3 – 3x 2 + 4x + 2
f(x) = x 19 – 81
Let us look at some common polynomial functions like
