document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61021>Question 61021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph f(x)= 4x+8/x^2-2x-15 Indicate all intercepts and asymptotes.\r<BR>\n" );
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document.write( "I am almost positive all my calculations are correct but my graph doesn't seem to be coming out right. Thanks in adavnce!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41947 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%284x%2B8%29%2F%28x%5E2-2x-15%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%284x%2B8%29%2F%28x%5E2-2x-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Indicate all intercepts and asymptotes.<BR>\n" );
document.write( "The horizontal asymptote is y=0, because the degree of the numerator is less the the degree of the denominator.<BR>\n" );
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document.write( "The vertical asymptotes are when the denominator=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-2x-15=0 ALIGN=MIDDLE  ALT=\"x%5E2-2x-15=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x-5)(x+3)=0<BR>\n" );
document.write( "x=5 and x=-3 are vertical asymptotes.<BR>\n" );
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document.write( "The x-intercept happens when the numerator =0.<BR>\n" );
document.write( "4x+8=0<BR>\n" );
document.write( "4x=-8<BR>\n" );
document.write( "4x/4=-8/4<BR>\n" );
document.write( "x=-2  The x-intercept is (-2,0)<BR>\n" );
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document.write( "The y-intercept happens when x=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=%284%280%29%2B8%29%2F%280%5E2-2%280%29-15%29 ALIGN=MIDDLE  ALT=\"f%280%29=%284%280%29%2B8%29%2F%280%5E2-2%280%29-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=8%2F-15 ALIGN=MIDDLE  ALT=\"f%280%29=8%2F-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The y-intercept (0,-8/15)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%284x%2B8%29%2F%28x%5E2-2x-15%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%284x%2B8%29%2F%28x%5E2-2x-15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Happy Calculating!!! </SPAN>\n" );
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