document.write( "Question 385615: determine whether the graph of f(x)= x^3-x^2-12x/x-4
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Algebra.Com's Answer #272789 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\"%22f%28x%29%22\"\"%22%22=%22%22\"\"%28x%5E3-x%5E2-12x%29%2F%28x-4%29\"
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document.write( "This is undefined when x=4 because the denominator would then be 0.\r\n" );
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document.write( "Factor x out of the numerator:\r\n" );
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document.write( "\"%22f%28x%29%22\"\"%22%22=%22%22\"\"%28x%28x%5E2-x-12%29%29%2F%28x-4%29\"\r\n" );
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document.write( "Factor what is in the parentheses:\r\n" );
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document.write( "\"%22f%28x%29%22\"\"%22%22=%22%22\"\"%28x%28x-4%29%28x%2B3%29%29%2F%28x-4%29\"\r\n" );
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document.write( "This is undefined when x = 4\r\n" );
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document.write( "Now as long as x is not 4, we may cancel the \"%28x-4%29\"'s, so\r\n" );
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document.write( "the function can be written as\r\n" );
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document.write( "\"%22f%28x%29%22\"\"%22%22=%22%22\"\"x%28x%2B3%29\", \"x%3C%3E4\"\r\n" );
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document.write( "The graph of the function is below and the graph does not contain the\r\n" );
document.write( "point (4,28).  So there is a point discontinuity at x=4.  Sometimes\r\n" );
document.write( "this is called a \"removable\" discontinuity.\r\n" );
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document.write( "Edwin
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