document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198860>Question 1198860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe the end behavior of the function f(x)=2x^7+4x^4-6.\r<BR>\n" );
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document.write( "One of the following is the correct answer. Which one is correct?\r<BR>\n" );
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document.write( "A) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity \r<BR>\n" );
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document.write( "B) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity \r<BR>\n" );
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document.write( "C) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity\r<BR>\n" );
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document.write( "D)  f(x) goes to +infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832525 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832525\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In any polynomial, the end behavior depends on the degree of the polynomial and the sign on the leading term.  There are 4 cases:<br><BR>\n" );
document.write( "(1) even degree, leading coefficient positive: +infinity as x goes to either +infinity or -infinity<BR>\n" );
document.write( "(2) even degree, leading coefficient negative: -+infinity as x goes to either +infinity or -infinity<BR>\n" );
document.write( "(3) odd degree, leading coefficient positive: +infinity as x goes to +infinity; -infinity as x goes to -infinity<BR>\n" );
document.write( "(4) odd degree, leading coefficient negative: -infinity as x goes to +infinity; +infinity as x goes to -infinity<br><BR>\n" );
document.write( "Your polynomial is odd degree with positive leading coefficient....<br><BR>\n" );
document.write( "ANSWER: up to you<br><BR>\n" );
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