document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977095>Question 977095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "I need help with this equation.\r<BR>\n" );
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document.write( "f(x)= 1/x-6\r<BR>\n" );
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document.write( "I need to find the domain, x-intercept and y=intercept,vertical and horizontal asymptote and the graph.<BR>\n" );
document.write( "Please explain each step.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598615 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=598615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As given in plain text, f(x)= 1/x-6\r<BR>\n" );
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document.write( "Rendering the function, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+1%2Fx-6 ALIGN=MIDDLE  ALT=\"f%28x%29=+1%2Fx-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "DOMAIN:  The one value of x not acceptable is x=0.<BR>\n" );
document.write( "The domain is all real numbers so that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The undefined x at 0 gives a vertical asymptote at x=0.\r<BR>\n" );
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document.write( "f seems to approach  -6 when x goes unbounded in either direction.<BR>\n" );
document.write( "The rational term approaches 0, making the result easy to see or visualize.<BR>\n" );
document.write( "Horizontal asymptote, y=-6.\r<BR>\n" );
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document.write( "NO VERTICAL AXIS INTERCEPT.  Review the discussion given earlier.\r<BR>\n" );
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document.write( "What do you find if y=0?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx-6=0 ALIGN=MIDDLE  ALT=\"1%2Fx-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx-6x%2Fx=0 ALIGN=MIDDLE  ALT=\"1%2Fx-6x%2Fx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-6x%29%2Fx=0 ALIGN=MIDDLE  ALT=\"%281-6x%29%2Fx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-6x=0 ALIGN=MIDDLE  ALT=\"1-6x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >---because the denominator does not control any of this.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=6x ALIGN=MIDDLE  ALT=\"1=6x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F6 ALIGN=MIDDLE  ALT=\"x=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >------the x-axis intercept.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-13%2C7%2C1%2Fx-6%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-13%2C7%2C1%2Fx-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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