document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40251>Question 40251</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131430920/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=x^2-2x\r<BR>\n" );
document.write( "\n" );
document.write( "a)  Find the average rate of change of f from 1 to x.  <BR>\n" );
document.write( "                      f(x) - f(1)<BR>\n" );
document.write( "                     ---------        (x does not = 1)<BR>\n" );
document.write( "                         x - 1<BR>\n" );
document.write( "b)  Use result from part (a) to compute the average rate of change from x = 1 to x = 2.<BR>\n" );
document.write( "c)  Find an equation of the secant line containing (1, f(1)) and (2, f(2)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25617 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25617\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=x^2-2x<BR>\n" );
document.write( "a) Find the average rate of change of f from 1 to x.<BR>\n" );
document.write( "f(x) - f(1)<BR>\n" );
document.write( "--------- (x does not = 1)<BR>\n" );
document.write( "x - 1<BR>\n" );
document.write( "AVG R.O.C.={(X^2-2X)-(1^2-2*1)}/(X-1)=(X^2-2X+1)/(X-1)=(X-1)^2/(X-1)...SINCE X IS NOT EQUAL TO 1,WE CAN DIVIDE WITH X-1 TO GET <BR>\n" );
document.write( "R.O.C.=(X-1)\r<BR>\n" );
document.write( "\n" );
document.write( "b) Use result from part (a) to compute the average rate of change from x = 1 to x = 2.<BR>\n" );
document.write( "R.O.C.AT X=2....<BR>\n" );
document.write( "2-1=1\r<BR>\n" );
document.write( "\n" );
document.write( "c) Find an equation of the secant line containing (1, f(1)) and (2, f(2))<BR>\n" );
document.write( "EQN IS <BR>\n" );
document.write( "(Y-F(1)}/{F(2)-F(1)}={(X-1)/(2-1)}<BR>\n" );
document.write( "F(1)=1^2-2*1=-1<BR>\n" );
document.write( "F(2)=2^2-2*2=0<BR>\n" );
document.write( "SUBSTITUTING<BR>\n" );
document.write( "(Y+1)/1=(X-1)/(2-1)=X-1<BR>\n" );
document.write( "Y+1=X-1<BR>\n" );
document.write( "Y=X-2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );