document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431970>Question 431970</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the average rate of change for the function between the given values. <BR>\n" );
document.write( "f(x) = 7x3 + 7x2 - 2; from -9 to 8  <BR>\n" );
document.write( " A. 1071  <BR>\n" );
document.write( "B. 504  <BR>\n" );
document.write( "C. 2015/4  <BR>\n" );
document.write( "D. 4030/17  <BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299657 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=299657\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The average rate of change is f(x2)-f(x1)/(x2-x1)<BR>\n" );
document.write( "We have x2 = 8, x1 = -9<BR>\n" );
document.write( "f(8) = 7(8)^3 + 7(8)^2 - 2 = 4030<BR>\n" );
document.write( "f(-9) = 7(-9)^3 + 7(-9)^2 - 2 = -4538<BR>\n" );
document.write( "Therefore the rate of change = (4030 - -4538)/(8 - -9) = 504<BR>\n" );
document.write( "Ans: B<BR>\n" );
document.write( "The graph of the function is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-5000%2C5000%2C7x%5E3%2B7x%5E2-2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-5000%2C5000%2C7x%5E3%2B7x%5E2-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );