document.write( "Question 208456: use the leading coefficient test determine the end behavior of the polynomial fuction\r
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Algebra.Com's Answer #157695 by Edwin McCravy(20060)\"\" \"About 
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Use the leading coefficient test determine
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document.write( "Here are the rules for determining end behavior on all \r\n" );
document.write( "polynomial functions:  \r\n" );
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document.write( "Find the leading term, which is the term with the \r\n" );
document.write( "largest exponent.\r\n" );
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document.write( "1. Is the leading term's coefficient positive? Then it goes \r\n" );
document.write( "up one the right end.\r\n" );
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document.write( "2. Is the leading terms' coefficient negative? Then it goes \r\n" );
document.write( "down on the right end.\r\n" );
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document.write( "3. Is the leading terms' exponent even?  Then it goes the same \r\n" );
document.write( "way on the left end as it does on the right end.\r\n" );
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document.write( "4. Is the leading terms' exponent odd?  Then it goes the \r\n" );
document.write( "opposite way on the left end than it does on the right end.    \r\n" );
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document.write( "Let's go thru those rules with your polynomial\r\n" );
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document.write( "\"f%28x%29=-2x%5E3%2B4x%5E2%2B2x-3\"\r\n" );
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document.write( "Find the leading term, which is the term with the \r\n" );
document.write( "largest exponent.\r\n" );
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document.write( "That's \"-2x%5E3\"\r\n" );
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document.write( "1. Is the leading term's coefficient positive? \r\n" );
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document.write( "No, it's -2 and that is negative.\r\n" );
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document.write( "2. Is the leading terms' coefficient negative? \r\n" );
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document.write( "Yes, for -2 is negative.\r\n" );
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document.write( "Then it goes down on the right end.\r\n" );
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document.write( "3. Is the leading terms' exponent even? \r\n" );
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document.write( "No, it's 3 which is odd.\r\n" );
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document.write( "4. Is the leading terms' exponent odd?  \r\n" );
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document.write( "Yes, for 3 is odd.\r\n" );
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document.write( "Then it goes the opposite way on the left end than \r\n" );
document.write( "it does on the right end.    \r\n" );
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document.write( "Since it goes down on the right, it goes up on the left\r\n" );
document.write( "end.\r\n" );
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document.write( "In a nutshell, the rules are: \r\n" );
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document.write( "1. positive coefficient, up on right end.\r\n" );
document.write( "2. negative coefficient, down on right end.\r\n" );
document.write( "3. even power, left end same as right end.\r\n" );
document.write( "4. odd power, left end opposite from right end.\r\n" );
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document.write( "Edwin
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