document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=426804>Question 426804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=(2x-4)/(x^2-6x-16): What is the vertical asymptote, horizontal asymptote, x-intercept, and y-intercept?\r<BR>\n" );
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document.write( "Could anyone explain how to do this kind of problem to me as well? I have a test tomorrow! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296930 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can factor the function as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%282x-4%29%2F%28x%5E2-6x-16%29+=+2%28x-2%29%2F%28x%2B2%29%28x-8%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%282x-4%29%2F%28x%5E2-6x-16%29+=+2%28x-2%29%2F%28x%2B2%29%28x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We see immediately from this that there are 2 vertical asymptotes: x=-2, x=8, since f(x) -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" > at these points<BR>\n" );
document.write( "For large x, the function goes as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Fx%5E2+-%3E+2%2Fx ALIGN=MIDDLE  ALT=\"2x%2Fx%5E2+-%3E+2%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This approaches, but never reaches 0, so the horiz. asymptote is: f(x)=0<BR>\n" );
document.write( "x-intercept is when f(x)=0 -> 2(x-2) = 0 -> x=2<BR>\n" );
document.write( "y-intercept: x=0 -> (0-2)/(-16), or x=1/8<BR>\n" );
document.write( "This is the graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-20%2C20%2C-8%2C8%2C%282x-4%29%2F%28x%5E2-6x-16%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-20%2C20%2C-8%2C8%2C%282x-4%29%2F%28x%5E2-6x-16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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