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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