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Section 4.3 class notes_0

# Section 4.3 class notes_0 - Section 4.3 The Graphs of...

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Section 4.3 The Graphs of Polynomial Functions Objective 1: Understanding the Definition of a Polynomial Function Definition Polynomial Function The function 1 2 1 0 1 2 ( ) n n n n n n f x a x a x a x a x a - - - - = + + + + + L is a polynomial function of degree n where n is a nonnegative integer. The numbers 0 1 2 , , , , n a a a a K are called the coefficients of the polynomial function. The number n a is called the leading coefficient and 0 a is called the constant coefficient . 4.3.1, 2, and 4 Determine if the given function is a polynomial function. If it is, then identify the degree, the leading coefficient, and the constant coefficient. (Type N is the function is not a polynomial function.) a) f(x) = _________________________ b) f(x) = _________________________ Degree _______ Degree _______ Leading Coefficient _______ Leading Coefficient _______ Constant Coefficient _______ Constant Coefficient _______ Objective 2: Sketching the Graphs of Power Functions (a) ( ) f x x = (b) 2 ( ) f x x = (c) 3 ( ) f x x = (d) 4 ( ) f x x = (e) 5 ( ) f x x = 4.3.10 and 15 Use the associated power function and transformations to sketch the following functions. a) f(x) = ___________________________ b) f(x) = ___________________________

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Odd degree polynomials have opposite left-hand and right-hand end behavior. Even degree polynomials have the same left-hand and right-hand end behavior. Objective 3: Determining the End Behavior of Polynomial Functions Process for Determining the End Behavior of a Polynomial Function 1
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Section 4.3 class notes_0 - Section 4.3 The Graphs of...

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