document.write( "Question 978020: You are having a meeting with the CEO of a soda company. You have interpreted the number of cans of soda produced versus profit as the function P(x) = x4 − x3 − 11x2 + 9x + 18. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0). \n" ); document.write( "

Algebra.Com's Answer #599524 by josgarithmetic(39618) $\"\"$ $\"About$

You can put this solution on YOUR website!
You are only interested in discussing the positive roots for P(x). The roots of both signs are still useful for factorization of P.\r
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\n" ); document.write( "\n" ); document.write( "Note, you want to start with $\"P%28x%29=x%5E4-x%5E3-11x%5E2%2B9x%2B18\"$ .
\n" ); document.write( "... EXPONENTS!!!\r
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\n" ); document.write( "system got stuck and cutoff the rest of my message.\r
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\n" ); document.write( "\n" ); document.write( "The function will be W shaped, but curved hump and valleys, not sharp.\r
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\n" ); document.write( "\n" ); document.write( " $\"P%28x%29=%28x%2B1%29%28x%2B3%29%28x-2%29%28x-3%29\"$ , the results of synthetic division and rational roots theorem. There is a maximum between x=-1 and x=2, but you KNOW it must be between x=0 and x=2. \n" ); document.write( "

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