document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=405373>Question 405373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this math problem (thank you so much)?<BR>\n" );
document.write( "F(x)=1/x<BR>\n" );
document.write( "find different quotient, F(x+h)-f(x)/h of f:\r<BR>\n" );
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document.write( "Also find the average rate of change of f of the interval [1,3]\r<BR>\n" );
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document.write( "List the interval on which f is increasing or decreasing, if there is any  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286347 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=286347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28F%28x%2Bh%29-F%28x%29%29%2Fh+=+%281%2F%28x%2Bh%29-+1%2Fx%29%2Fh%0D%0A%0D%0A=+%28%28x+-+x+-+h%29%2F%28x%28x%2Bh%29%29%29%2Fh+=+%28-h%29%2F%28h%28x%28x%2Bh%29%29%29%0D%0A=+%28-1%29%2F%28x%28x%2Bh%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "TO find the A.R.C. from 1 to 3, let x = 1, and h = 2 above, so that\r<BR>\n" );
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document.write( "A.R.C.  = -2/(1*3) = -2/3.\r<BR>\n" );
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document.write( "The graph of F(x) = 1/x is a hyperbola with x-axis as horizontal asymptote and y-axis as vertical asymptote.  It is decreasing over its domain. </SPAN>\n" );
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