document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928873>Question 928873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me find the rate of change of the function from x1 to x2: f (x)=sqrt( 3x ) for x1=1 to x2=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563921 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = sqrt( 3x )<BR>\n" );
document.write( "note that f(x) = square root(3) * square root(x) = 1.73 * square root(x)<BR>\n" );
document.write( "this is a parabola with an imaginary and real part<BR>\n" );
document.write( "for x1 = 1 and x2 = 7 we will be dealing with the real part<BR>\n" );
document.write( "rate of change between two points is (y2 - y1) / (x2 - x1)<BR>\n" );
document.write( "y2 = 1.73 * square root(7) = 4.58<BR>\n" );
document.write( "y1 = 1.73 * square root(1) = 1.73<BR>\n" );
document.write( "rate of change = (4.58 - 1.73) / (7 - 1) = 0.475 approx 0.48<BR>\n" );
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