document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=831343>Question 831343</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A function is given. Determine the average rate of change of the function between the given values of the variable.<BR>\n" );
document.write( "f(x) = 3x^2;    x = 4, x = 4 + h<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 #501256 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=501256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A function is given. Determine the average rate of change of the function between the given values of the variable.<BR>\n" );
document.write( "f(x) = 3x^2; x = 4, x = 4 + h\r<BR>\n" );
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document.write( "Average = [f(4+h)-f(4)]/[(4+h)-4] = [f(4+h)-f(4)]/h<BR>\n" );
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document.write( "f(4+h) = 3(4+h)^2 = 3(16+8h+h^2) = 48+24h+3h^2<BR>\n" );
document.write( "f(4) = 3*4^2 = 48<BR>\n" );
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document.write( "Average = [(48+24h+3h^2)-48]/h = (24h+3h^2)/h = 24+3h<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
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