document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22299>Question 22299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help me with this?\r<BR>\n" );
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document.write( "I just need to sketch the graph of the following function, but need to also<BR>\n" );
document.write( "know how it's done.\r<BR>\n" );
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document.write( "f(x) = 3- In x<BR>\n" );
document.write( "The answer shows it as intersecting the x axis at (20,0)<BR>\n" );
document.write( "Domain x>0<BR>\n" );
document.write( "V. axymptote = x axis x = 0\r<BR>\n" );
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document.write( "Can anyone help?<BR>\n" );
document.write( "Thanks<BR>\n" );
document.write( "Sandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10822 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=10822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I can't sketch it for you here but can describe how you should do that.\r<BR>\n" );
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document.write( "Hopefully you know what the graph of lnx looks like.  It has x=0 as an<BR>\n" );
document.write( "asymptote, passes upward through (1,0) and gradually rises as x gets larger<BR>\n" );
document.write( "and larger. \r<BR>\n" );
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document.write( "Now your equation has a negative sign before lnx.  That flips the lnx <BR>\n" );
document.write( "graph over on the x-axis.  It still passes through (1,0) and still has<BR>\n" );
document.write( "x=0 as an asymptote, but now it gets more and more negative as x gets<BR>\n" );
document.write( "larger and larger.\r<BR>\n" );
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document.write( "The \"3\" in your equation raises every point in the graph upward by \"3\".\r<BR>\n" );
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document.write( "So now it doesn't pass through (1,0); instead it passes through (1,3),<BR>\n" );
document.write( "and yes, it passes through (20.086,0).\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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