document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=944431>Question 944431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #575864 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=575864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to 4.<BR>\n" );
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document.write( "when x = 1:<BR>\n" );
document.write( "f(1) = -1^2+3(1)+5 = -1+3+5 = 7<BR>\n" );
document.write( "first point: (1,7)<BR>\n" );
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document.write( "when x = 4:<BR>\n" );
document.write( "f(4) = -4^2+3(4)+5 = -16+12+5 = 9<BR>\n" );
document.write( "second point: (4,9)<BR>\n" );
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document.write( "\"average rate of change\" is essentially the slope between the two points:<BR>\n" );
document.write( "rise/run=(y2-y1)/(x2-x1) = (9-7)/(4-1) = 2/3<BR>\n" );
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document.write( "answer: 2/3<BR>\n" );
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