H. Mathematics 116 Chapter 4 Bittinger

H. Mathematics 116 Chapter 4 Bittinger - Mathematics 116...

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Mathematics 116 Chapter 4 Bittinger Polynomial and Rational Functions
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Newt Gingrich “Perseverance is the hard work you do after you get tired of doing the hard work you already did.”
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Definition of a Polynomial Function Polynomial function of x with degree n. 1 1 2 2 1 1 0 ( ) n n n n f x a x a x a x a x a - - = + + + + + L
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Joseph De Maistre (1753-1821 – French Philosopher “It is one of man’s curious idiosyncrasies to create difficulties for the pleasure of resolving them.”
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Mathematics 116 Polynomial Functions of Higher Degree
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Continuous The graph has no breaks, holes, or gaps. Has only smooth rounded turns, not sharp turns Its graph can be drawn with pencil without lifting the pencil from the paper.
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Leading Coefficient Test The leading term determines the “end behavior” of graphs. Very Important!
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Objective Use the Leading Coefficient Test to determine the end behavior of graphs of polynomial functions.
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Intermediate Value Theorem Informal – Find a value x = a at which a polynomial function is positive, and anther value x = b at which it is negative, the function has at least one real zero between these two values. Use numerical zoom with table or Use [CAL] [1:zero]
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Functions x = a is a zero of function f x = a is a solution of the
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This note was uploaded on 11/11/2011 for the course MATH 112 taught by Professor Jarvis during the Winter '08 term at BYU.

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H. Mathematics 116 Chapter 4 Bittinger - Mathematics 116...

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