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Sec31Notes - Sec31Notes.notebook Sec 3.1 Polynomial...

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Sec31Notes.notebook 1 October 06, 2009 Sec. 3.1 Polynomial Functions and their Graphs A polynomial function of degree ‘n’ is of the form: Where is a nonnegative integer and Coefficients Constant coefficient / constant term Leading coefficient / leading term Graphs of Polynomials are always smooth, continuous curves, with no breaks or ‘cusps’ or ‘corners’. The domain of any polynomial is all real numbers. Examples of one term polyniomials:
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Sec31Notes.notebook 2 October 06, 2009 End Behavior of a polynomial What happens to the graph when ‘x’ gets larger and larger. (either towards the positive side or the negative side). The graph can either: Go Up to Positive Infinity or Go Down to Negative Infinity End behavior is determined by the term with the highest power of ‘x’. We can ignore all the other terms because they are relatively ‘small’ in comparison when ‘x’ is huge. End Behavior of a polynomial Example: Graph the two functions on larger and larger viewing windows.
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