document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042940>Question 1042940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the power function that the graph of f resembles for large values of |x|.\r<BR>\n" );
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document.write( "f(x) = -x^2(x + 4)^3(x^2 - 1)<BR>\n" );
document.write( "    a. y = x^7<BR>\n" );
document.write( "    b. y = -x^7<BR>\n" );
document.write( "    c. y = x^3<BR>\n" );
document.write( "    d. y = x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658014 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=658014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -x^2 is the leading term for the first factor\r<BR>\n" );
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document.write( "For the second factor, (x+4)^3 has the leading term x^3\r<BR>\n" );
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document.write( "The third factor has the leading term x^2\r<BR>\n" );
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document.write( "Multiply the leading terms:<BR>\n" );
document.write( "-x^2*x^3*x^2 = -x^(2+3+2) = -x^7\r<BR>\n" );
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document.write( "The leading term of f(x) = -x^2(x + 4)^3(x^2 - 1) is -x^7\r<BR>\n" );
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document.write( "So the answer is choice B) -x^7 </SPAN>\n" );
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