document.write( "Question 1085281: I'm having trouble finding the answer \r
\n" ); document.write( "\n" ); document.write( "Determine the end behavior of f(x) = 2x^2 (1+3x-x^2)
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Algebra.Com's Answer #699347 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29+=+2x%5E2+%281%2B3x-x%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+-2x%5E4%2B6x%5E3%2B2x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "Since leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is \"-2x%5E4\", then degree is \"4\", i.e. even, and leading coefficient is \"-2\", i.e. negative.\r
\n" ); document.write( "\n" ); document.write( "This means that \"f%28x%29-%3E-infinity\" as \"x-%3E-infinity\"and \"f%28x%29-%3E+-infinity\"as \"x-%3E+infinity\".\r
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\n" ); document.write( "\n" ); document.write( "\"+graph%28+600%2C+600%2C+-30%2C+30%2C+-30%2C+30%2C+-2x%5E4%2B6x%5E3%2B2x%5E2%29+\"\r
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