document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994056>Question 994056</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the difference quotient and simplify for the following function:  f(x)=-10x^2 + 10x +8.  Thanks for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613330 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=613330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> h, some small quantity which can be made as small as you wish be never being 0.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29=-10%28x%2Bh%29%5E2%2B10%28x%2Bh%29%2B8 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29=-10%28x%2Bh%29%5E2%2B10%28x%2Bh%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10%28x%5E2%2B2hx%2Bh%5E2%29%2B10x%2B10h%2B8 ALIGN=MIDDLE  ALT=\"-10%28x%5E2%2B2hx%2Bh%5E2%29%2B10x%2B10h%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10x%5E2-20hx-10h%5E2%2B10x%2B10h%2B8 ALIGN=MIDDLE  ALT=\"-10x%5E2-20hx-10h%5E2%2B10x%2B10h%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Difference Quotient is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2Fh\"   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=%28%28-10x%5E2-20hx-10h%5E2%2B10x%2B10h%2B8%29-%28-10x%5E2+%2B+10x+%2B8%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28%28-10x%5E2-20hx-10h%5E2%2B10x%2B10h%2B8%29-%28-10x%5E2+%2B+10x+%2B8%29%29%2Fh\"   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=%28-10x%5E2-20hx-10h%5E2%2B10x%2B10h%2B8%2B10x%5E2-10x-8%29%2Fh ALIGN=MIDDLE  ALT=\"%28-10x%5E2-20hx-10h%5E2%2B10x%2B10h%2B8%2B10x%5E2-10x-8%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  look at the terms in the numerator carefully....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-20hx-10h%5E2%2B10h%29%2Fh ALIGN=MIDDLE  ALT=\"%28-20hx-10h%5E2%2B10h%29%2Fh\"   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=highlight%28-20x-10h%2B10%29 ALIGN=MIDDLE  ALT=\"highlight%28-20x-10h%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You might then ask, \"what happens as h approaches 0?\" </SPAN>\n" );
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