A polynomial function is a function that is defined by a polynomial expression. So a polynomial function of degree n is a function of the form

P(x) = an xn + an-1xn-1 +. . . + a1x + a0 , an <> 0

We have already studied polynomial functions of degree 0 and 1. These are functions of the form P(x) - a0 and P(x) = a1x + a0, respectively, whose graphs are lines.

Graphing Quadratic Functions Using the Standard Form

The graph of any quadratic function is a parabola.

Maximum and Minimum Values of Quadratic Functions

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Practice