document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204827>Question 1204827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is this the graph of a reciprocal function of a linear or a quadratic function?  State the equation of the reciprocal function.<BR>\n" );
document.write( "Link to graph: https://gyazo.com/be111635a786a32656c96fb18f3018cf </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841349 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As you can see, the function on the graph is a hyperbola, and have two asymptotes.\r<BR>\n" );
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document.write( "The reciprocal of a linear function has two asymptotes: one vertical, and one horizontal. \r<BR>\n" );
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document.write( "So, this is the graph of a reciprocal function of a linear function.\r<BR>\n" );
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document.write( "The vertical asymptote  occurs for the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > that causes the denominator to equal zero.\r<BR>\n" );
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document.write( "in your case we see from the graph that vertical asymptote is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, horizontal asymptote is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the equation of the reciprocal function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=1%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=1%2F%28x-2%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=drawing%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+green%28line%282%2C-5%2C2%2C5%29%29%2C%0D%0A+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+1%2F%28x-2%29%2C0.05%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your function is reciprocal of a linear function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x-2 ALIGN=MIDDLE  ALT=\"f%28x%29=x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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