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MATH 1071 Polynomial and Rational functions_10:1

# MATH 1071 Polynomial and Rational functions_10:1 - Notes...

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MATH 1071 Polynomial and Rational Functions (Sections 3.6 & 3.7) October 1, 2012 Homework #4 (Due 10/1): Section 3.6 : # 16 Section 3.7 : # 20 Section 4.1 : # 20, 30 Clicker Check-in: Choose any letter to check in now. Patrick Newberry Polynomial and Rational Functions October 1, 2012 1 / 17 Outline 1 Polynomials Definitions Properties of Polynomials Examples 2 Rational Functions Definitions Horizontal Asymptotes Examples Patrick Newberry Polynomial and Rational Functions October 1, 2012 2 / 17 Polynomials Definitions Definition A polynomial function is a function that can be expressed in the form f ( x ) = a n x n + a n - 1 x n - 1 + . . . a 2 x 2 + a 1 x + a 0 . where n is a nonnegative integer, a i real numbers. and a n 6 = 0 . n is called the degree, a n the leading coefficient, and a 0 the constant term. The domain of any polynomial function is ( -1 , 1 ) . Patrick Newberry Polynomial and Rational Functions October 1, 2012 3 / 17 Notes Notes Notes

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Polynomials Properties of Polynomials Properties of Polynomials Patrick Newberry Polynomial and Rational Functions October 1, 2012 4 / 17 Polynomials
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