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Polynomial function

Is a function whose rule is given by a polynomial in one variable.

Degree of a polynomial function

A largest power of x that appears.

Graphing polynomial function

Every polynomial function is both smooth and continuous.

Polynomial graph: Smooth

We mean that the graph contains no sharp corners or cusps

Polynomial graph: Continuous

We mean that the graph has no gaps or holes and can be drawn without lifting pencil from paper.

Power function of degree

A power function of degree n is a monomial function of the form f(x) = ax^n