Here is a sketch of the polynomial note that one of

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Unformatted text preview: ( x ) is a polynomial with degree n. So we know that the polynomial must look like, P ( x ) = ax n + L We don’t know if there are any other terms in the polynomial, but we do know that the first term will have to be the one listed since it has degree n. We now have the following facts about the graph of P ( x ) at the ends of the graph. 1. If a > 0 and n is even then the graph of P ( x ) will increase without bound positively at both endpoints. A good example of this is the graph of x2. 2. If a > 0 and n is odd then the graph of P ( x ) will increase without bound positively at the right end and decrease without bound at the left end. A good example of this is the graph of x3. © 2007 Paul Dawkins 256 http://tutorial.math.lamar.edu/terms.aspx College Algebra 3. If a < 0 and n is even then the graph of P ( x ) will decrease without bound positively at both endpoints. A good example of this is the graph of -x2. 4. If a < 0 and n is odd then the graph of P ( x ) will decrease without bound positively at the right end and increase without bound at the left...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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