document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=917192>Question 917192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me? I need to find all intercepts, and all asymptotes. Show work. For this (x^2+3x-10)/(x^2+8x+15)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804226 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=804226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B5%29%28x-2%29%29%2F%28%28x%2B3%29%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B5%29%28x-2%29%29%2F%28%28x%2B3%29%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Vertical asymptote: x = -3\r<BR>\n" );
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document.write( "Horizontal asymptote: look at the degree of numerator and denominator<BR>\n" );
document.write( "numerator: _x^2_ + 3x - 10 ---> 2<BR>\n" );
document.write( "denominator: _x^2_ + 8x + 15 ---> 2\r<BR>\n" );
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document.write( "divide coefficients: x^2/x^2 = 1 ----> y = 1\r<BR>\n" );
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document.write( "Plug in y = 0 to find x-intercept ---> (2, 0)<BR>\n" );
document.write( "Plug in x = 0 to find y-intercept ---> (0, -2/3) </SPAN>\n" );
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