document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183000>Question 183000</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Difference Quotient\r<BR>\n" );
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document.write( "A. Given the function g(x) - x^2 - 3x + 5,  find the difference quotient g(x+h) - g(x)/h.\r<BR>\n" );
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document.write( "B. Given the function f(x) = -x^2 + 2x -3, find the difference quotient..\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 #137518 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=137518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Difference Quotient <BR>\n" );
document.write( "A. Given the function g(x) - x^2 - 3x + 5, find the difference quotient g(x+h) - g(x)/h. <BR>\n" );
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document.write( "g(x+h) = (x+h)^2 - 3(x+h) + 5<BR>\n" );
document.write( "g(x+h) = x^2 + 2hx + h^2 - 3x - 3h + 5<BR>\n" );
document.write( "Now subtract g(x) from f(x+h) to get:<BR>\n" );
document.write( "g(x+h)-g(x) = 2hx + h^2 - 3h<BR>\n" );
document.write( "Now divide by \"h\":<BR>\n" );
document.write( "[g(x+h)-g(x)]/h = 2x + h - 3<BR>\n" );
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document.write( "B. Given the function f(x) = -x^2 + 2x -3, find the difference quotient.. <BR>\n" );
document.write( "f(x+h) = -(x+h)^2 + 2(x+h) - 3<BR>\n" );
document.write( "f(x+h) = -(x^2 + 2hx + h^2) + 2x + 2h -3<BR>\n" );
document.write( "f(x+h) = -x^2 - 2hx - h^2 + 2x + 2h - 3<BR>\n" );
document.write( "Now subtract f(x) from f(x+h) to get<BR>\n" );
document.write( "f(x+h)-f(x) = -2hx - h^2 + 2h<BR>\n" );
document.write( "Now divide by \"h\"<BR>\n" );
document.write( "[f(x+h)-fIx)]/h = -2x - h + 2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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