Section 3-1.2 - 3.2 Polynomial Functions and Their Graphs...

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3.2 – Polynomial Functions and Their Graphs Linear functions are first-degree polynomial functions . The quadratic functions that we just covered in Section 3.1 are second-degree polynomial functions. We will now look in general terms at polynomial functions. You should brush up on what you have previously learned regarding polynomials and solving polynomial equations. Let n be a nonnegative integer and let 0 1 1 , ,..., , a a a a n n ! be real numbers. The function defined by 1 1 1 0 ( ) ... nn f x a x a x a x a ! ! " # # # # is called a polynomial function . The degree of the function is equal to n and n a is called the leading coefficient . Leading Coefficient Test This test is used to determine the end behavior of the graph of the function. For odd values of n : 1. If 0 n a $ , then the graph falls to the left and rises to the right 2. If 0 n a % , then the graph rises to the left and falls to the right For even values of n : 1. If 0 n a $ , then the graph rises to the left and to the right 2. If 0 n a % , then the graph falls to the left and to the right !
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Section 3-1.2 - 3.2 Polynomial Functions and Their Graphs...

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