document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146142>Question 146142</A>: <I><SPAN STYLE=\"word-break: break-all;\"> F(x)= x(squared)- 3x<BR>\n" );
document.write( "The difference quotient of a function f at x=a is defined to be the ratio [f(a + h) - f(a)]/h. find the difference quotient of each function at a=2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106693 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106693\">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=f%28x%29=x%5E2-3x ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28a%29=a%5E2-3a ALIGN=MIDDLE  ALT=\"f%28a%29=a%5E2-3a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=4-6=-2 ALIGN=MIDDLE  ALT=\"f%282%29=4-6=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28a%2Bh%29=%28a%2Bh%29%5E2-3%28a%2Bh%29=a%5E2%2B2ah%2Bh%5E2-3a-3h ALIGN=MIDDLE  ALT=\"f%28a%2Bh%29=%28a%2Bh%29%5E2-3%28a%2Bh%29=a%5E2%2B2ah%2Bh%5E2-3a-3h\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%2Bh%29=4%2B4h%2Bh%5E2-6-3h=-2%2Bh%2Bh%5E2 ALIGN=MIDDLE  ALT=\"f%282%2Bh%29=4%2B4h%2Bh%5E2-6-3h=-2%2Bh%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, just simplify:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-2%2Bh%2Bh%5E2%29-%28-2%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28%28-2%2Bh%2Bh%5E2%29-%28-2%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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