document.write( "Question 834884: Graph: $\"+y=%28x%5E2-4%29%2F%28x%5E2%2B8x%2B15%29+\"$
\n" ); document.write( "I'm a little confused as to how I go about doing this. What are the asymptotes? What points should I plot? How should this graph look? I have tons of problems like this one to do, so seeing how this one is done will help me out with the others. Thank you! \n" ); document.write( "

Algebra.Com's Answer #503228 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
Look for vertical and horizontal asymptotes first.\r
\n" ); document.write( "\n" ); document.write( "Since

, the horizontal asymptote (as x approaches infinity) will be at x = 1. Same thing happens when x goes to negative infinity.\r
\n" ); document.write( "\n" ); document.write( "Set the denominator equal to zero to find possible vertical asymptotes. The equation

gives x = -3, -5 as roots. The numerator is nonzero in both cases, so those are your vertical asymptotes.\r
\n" ); document.write( "\n" ); document.write( "To graph, just note the asymptotes and whether the function approaches +/- infinity as x goes to -3 or -5 in either direction. Note that x = 1 is the horizontal asymptote. \n" ); document.write( "

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