document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194631>Question 194631</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780395977255/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Describe the graph of each equation.\r<BR>\n" );
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document.write( "y=1/x\r<BR>\n" );
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document.write( "how would you describe this? I dont understand the answer in my book. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146020 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=146020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y =1/x,,,,also  called  the  reciprocal  function<BR>\n" );
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document.write( "there  is  a  horizontal  asymptote  at  ,, y=o<BR>\n" );
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document.write( "and  a  vertical  asymptote  at x=0<BR>\n" );
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document.write( "to  rough  sketch  this,  draw  a  standard  x - y  coordinate  system.<BR>\n" );
document.write( "sketch  in  asymptotes,  (same  as  x,y axis)<BR>\n" );
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document.write( "starting  at  far  left,  x=- infinity,  y is  on  the  negative  side  of zero( approaches  zero),  <BR>\n" );
document.write( "going  to  right  this  function  curves  downward,  to  - infinity  as  x  approaches  zero.<BR>\n" );
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document.write( "skipping  over  the  x=0  asymptote,  The  function  picks  up  at  + infinity<BR>\n" );
document.write( "as  we  go right  it  curves  down  to  approach  y=0  as  x = + infinity<BR>\n" );
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document.write( "in  short  in the  3rd  quadrant  it  is  a  \"u\"  vertex  at  (0,0) pointed  down  and  to  left,<BR>\n" );
document.write( "in  the  1st  quadrant,  it  is  a  \"u\" vertex  at  (0,0) pointing  up  and  to  right. NOTE  that  the  vertex  does  not touch (0,0) , but  only approaches  along  the  45 degree  line,  y=x.<BR>\n" );
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document.write( "hpoefully  this  helps </SPAN>\n" );
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