M1330_section2.2

# M1330_section2.2 - Section 2.2 Polynomial Functions Definition of a Polynomial Function Let n be a nonnegative integer and let a n a n 1 a 2 a1 a 0

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Section 2.2 – Polynomial Functions 1 Section 2.2 Polynomial Functions Definition of a Polynomial Function Let n be a nonnegative integer and let 0 1 2 1 , , ,..., , a a a a a n n - , be real numbers, with 0 n a . The function defined by 0 1 2 2 ... ) ( a x a x a x a x f n n + + + + = is called a polynomial function of x of degree n . The number n a , the coefficient of the variable to the highest power, is called the leading coefficient . For example, 234 . 0 10 3 1 6 3 2 ) ( x x x x p - - = is NOT a polynomial, but x x x x a 234 . 0 3 1 2 ) ( 10 3 + - = is a polynomial. The domain of any polynomial function is all real numbers. End Behavior of Polynomial Functions The behavior of a graph of a function to the far left or far right is called its end behavior. Even-degree LEADING COEFFIECIENT: + LEADING COEFFICIENT: - Odd-degree LEADING COEFFIECIENT: + LEADING COEFFICIENT: -

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Section 2.2 – Polynomial Functions 2 Power Functions A power function is a polynomial that takes the form n ax x f = ) ( , where
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## This note was uploaded on 02/20/2012 for the course MATH 1330 taught by Professor Staff during the Fall '08 term at University of Houston.

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M1330_section2.2 - Section 2.2 Polynomial Functions Definition of a Polynomial Function Let n be a nonnegative integer and let a n a n 1 a 2 a1 a 0

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