What key graphical features are obtained from a polynomial function?

The key graphical features obtained from a polynomial function are: the zeros, the turning points and the end behaviour.

A "zero" of a polynomial function is an input value that produces an output of zero (0).

A turning point is a point of the graph where the graph changes from increasing to decreasing or decreasing to increasing. A polynomial of degree n will have at most n – 1 turning points.

The end behavior of a polynomial function is the behavior of the graph of f as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.