document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=990271>Question 990271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What happens to the graph when you divide by \"x\" and why does this happen? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #610302 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=610302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when x is 0, the value of y is undefined.<BR>\n" );
document.write( "this creates a hole in the graph since there is no value of y that satisfies the equation when x is equal to 0.<BR>\n" );
document.write( "if the numerator is negative, then the value of y will decrease as x approaches 0.<BR>\n" );
document.write( "if the numerator is positive, then the value of y will increase as x approaches 0.<BR>\n" );
document.write( "here's two graphs that show you what i mean.\r<BR>\n" );
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document.write( "first graph is y = -100 / x.<BR>\n" );
document.write( "look at the values of x = -10, x = 0, x = 10<BR>\n" );
document.write( "when x = -10, the value on the graph is -100 / -10 which is equal to 10.<BR>\n" );
document.write( "when x = 0, the value on the graph is undefined.<BR>\n" );
document.write( "when x = 10, the value on the graph is -100 / 10 which is equal to -10\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-500%2C500%2Cy+=+-100%2Fx%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-500%2C500%2Cy+=+-100%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "second graph is y = 100 / x<BR>\n" );
document.write( "look at the value of x = -10, x = 0, x = 10<BR>\n" );
document.write( "when x = -10, the value on the graph is 100 / -10 which is equal to -10.<BR>\n" );
document.write( "when x = 0, the value on the graph is undefined.<BR>\n" );
document.write( "when x = 10, the value on the graph is 100 / 10 which is equal to 10.\r<BR>\n" );
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document.write( "as the value of x gets closer to 0, the value of y gets larger and larger.<BR>\n" );
document.write( "in other words, it is approaching infinity, but never quite gets there.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-500%2C500%2Cy+=+100%2Fx%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-500%2C500%2Cy+=+100%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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