document.write( "Question 94200: Please help me solve this:\"+f%28x%29=x%5E3%2F%28x%5E2-1%29\" \n" ); document.write( "
Algebra.Com's Answer #68590 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Please help me graph this:\"+f%28x%29=x%5E3%2F%28x%5E2-1%29\"\r\n" );
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document.write( "Set the denominator = 0 to find the vertical asymptotes:\r\n" );
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document.write( "\"x%5E2-1=0\"\r\n" );
document.write( "\"%28x-1%29%28x%2B1%29=0\"\r\n" );
document.write( "\"x=1\" and \"x=-1\"\r\n" );
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document.write( "So the vertical asymptotes are these two lines:\r\n" );
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document.write( "Since the degree of the numerator is greater\r\n" );
document.write( "than the degree of the denominator, there are\r\n" );
document.write( "no horizontal asymptotes.  However, since the\r\n" );
document.write( "degree of the numerator is 1 more than the \r\n" );
document.write( "degree of the denominator, there is a slant\r\n" );
document.write( "or oblique asymptote.  To find it, divide the\r\n" );
document.write( "denominator into the numerator, being sure\r\n" );
document.write( "to put in the necessary zero place holders \r\n" );
document.write( "for the missing terms. The slant asymptote\r\n" );
document.write( "is \r\n" );
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document.write( "            y = quotient\r\n" );
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document.write( "So we divide\r\n" );
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document.write( "                        x + 0\r\n" );
document.write( "           覧覧覧覧覧覧覧覧覧\r\n" );
document.write( "xｲ + 0x - 1)xｳ + 0xｲ + 0x + 0\r\n" );
document.write( "            xｳ + 0xｲ -  x\r\n" );
document.write( "            覧覧覧覧覧覧予r\n" );
document.write( "                 0xｲ +  x + 0\r\n" );
document.write( "                 0xｲ + 0x - 0\r\n" );
document.write( "                 覧覧覧覧覧覧\r\n" );
document.write( "                        x\r\n" );
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document.write( "So y = quotient is the line y = x + 0\r\n" );
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document.write( "or just the line y = x.  So draw this\r\n" );
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document.write( "line:\r\n" );
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document.write( "Now get some points, plot them, and draw a\r\n" );
document.write( "smooth curve through them:\r\n" );
document.write( "(-5,-5.2), (-3,-3.8), (-2,-2,7), (-1.5,-2.7), \r\n" );
document.write( "(-.9,3.8), (-.5,.17), (0,0), (.5,.-.17), (.9,-3.8)\r\n" );
document.write( "(1.5,2.7), (2,2.7), (3,3.8), (5,5.2)\r\n" );
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document.write( "Edwin
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