document.write( "Question 108981This question is from textbook
\n" ); document.write( ": graph including any oblique asymptotes (x^2+5)/(x+1). I know how to graph it in a calculator. this problem is one found on pg 300 matched problem 6. I am not understanding how to do this problem based of the example given to me on the previous page. I have the answer in the book. it is all done on a gragh but I don't understand how to mathmatically work this out I can do it on a calculator but I need to know how to show this with out a calculator. \n" ); document.write( "
Algebra.Com's Answer #79464 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Let's do some analysis.
\n" ); document.write( "When you look at the function,\"%28x%5E2%2B5%29%2F%28x%2B1%29\" and you're interested in asymptotes, you need to ask a couple of questions.
\n" ); document.write( "1. When does the denominator go to zero?
\n" ); document.write( "2. What happens when x gets very large in the positive direction?
\n" ); document.write( "3. What happens when x gets very large in the negative direction?
\n" ); document.write( "Let's look at each question.
\n" ); document.write( "1. The denominator goes to zero at x=-1.
\n" ); document.write( "So at x=-1, your function is undefined.
\n" ); document.write( "Just to the right of it, the function goes near positive infinity (x+1>0).
\n" ); document.write( "Just to the left of it, the function goes near negative infinity (x+1<0).
\n" ); document.write( "So at x=-1, you have a vertical asymptote.
\n" ); document.write( "2. As x gets very large positively,
\n" ); document.write( "\"%28x%5E2%2B5%29%2F%28x%2B1%29=%28x%5E2%29%2F%28x%29=%28x%29\"
\n" ); document.write( "So for very large x, the function looks like y=x.
\n" ); document.write( "As an example, at x=100,
\n" ); document.write( "\"%28x%5E2%2B5%29%2F%28x%2B1%29=%28100%5E2%2B5%29%2F%28100%2B1%29=99.05\"
\n" ); document.write( "So you have another asymptote that looks like the function y=x.
\n" ); document.write( "3. As x gets very large negatively,
\n" ); document.write( "\"%28x%5E2%2B5%29%2F%28x%2B1%29=%28x%5E2%29%2F%28x%29=%28x%29\"
\n" ); document.write( "So for very large x, the function also looks like y=x for large positive x
\n" ); document.write( "As an example, at x=-100,
\n" ); document.write( "\"%28x%5E2%2B5%29%2F%28x%2B1%29=%28%28-100%29%5E2%2B5%29%2F%28-100%2B1%29=-101.061\"
\n" ); document.write( "So you have another asymptote that looks like the function y=x for large negative x.
\n" ); document.write( "But it all together and you can graph the function.\r
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