document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87509>Question 87509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the function f(x) = x² - 3x + 4 construct and simplify the difference quotient f(x) = [f(x+h) – f(x)]/h\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63433 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63433\">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+%2B+4 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x%5E2+-+3x+%2B+4\"   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=f%28x%2Bh%29+=+%28x%2Bh%29%5E2+-3%28x%2Bh%29+%2B4 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29+=+%28x%2Bh%29%5E2+-3%28x%2Bh%29+%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29+=+x%5E2+%2B2xh%2B+h%5E2+-3x-3h+%2B4 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29+=+x%5E2+%2B2xh%2B+h%5E2+-3x-3h+%2B4\"   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=+%28f%28x%2Bh%29+-f%28x%29%29%2Fh=+%28%28x%5E2%2B2xh%2Bh%5E2+-3x-3h%2B4%29+-%28x%5E2+-3x%2B4%29%29%2Fh+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remove parentheses\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28f%28x%2Bh%29+-f%28x%29%29%2Fh=+%28x%5E2%2B2xh%2Bh%5E2+-3x-3h%2B4+-x%5E2+%2B3x-4%29%2Fh+ ALIGN=MIDDLE  ALT=\"+%28f%28x%2Bh%29+-f%28x%29%29%2Fh=+%28x%5E2%2B2xh%2Bh%5E2+-3x-3h%2B4+-x%5E2+%2B3x-4%29%2Fh+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Combine like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28f%28x%2Bh%29+-f%28x%29%29%2Fh=+%282xh%2Bh%5E2+-3h+%29%2Fh+ ALIGN=MIDDLE  ALT=\"+%28f%28x%2Bh%29+-f%28x%29%29%2Fh=+%282xh%2Bh%5E2+-3h+%29%2Fh+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor out the common factor of h:<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=+%28h%282x%2Bh+-3%29+%29%2Fh+ ALIGN=MIDDLE  ALT=\"+%28f%28x%2Bh%29+-f%28x%29%29%2Fh=+%28h%282x%2Bh+-3%29+%29%2Fh+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide out the h factor:<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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