document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060941>Question 1060941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x) = -2x^4 + 2x^2 + 4; [-2, -1]\r<BR>\n" );
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document.write( "    a. f(-2) = 20 and f(-1) = 5; no<BR>\n" );
document.write( "    b. f(-2) = -20 and f(-1) = 4; yes<BR>\n" );
document.write( "    c. f(-2) = 20 and f(-1) = -4; yes<BR>\n" );
document.write( "    d. f(-2) = -20 and f(-1) = -4; no </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675769 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675769\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "You <U>EITHER</U> know <U>OR</U> don't know <U>the intermediate value theorem</U>.\r<BR>\n" );
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document.write( "If you don't know (but still want to learn it), then learn it from the textbook or from the Internet.\r<BR>\n" );
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document.write( "If you know it, then complete this assignment on your own.\r<BR>\n" );
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document.write( "To facilitate you learning the intermediate value theorem, I copied and pasted its formulation below (from <A  rel=nofollow HREF=https://en.wikipedia.org/wiki/Intermediate_value_theorem>this</A> Wikipedia article)\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "     In mathematical analysis, the intermediate value theorem states that if a continuous function, f, with an interval, [a, b], as its domain, \r\n" );
document.write( "     takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval.\r\n" );
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document.write( "     This has an important corollary: If a continuous function has values of opposite sign inside an interval, then it has a root in that interval.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "So, what you need to do is to check the calculations/numbers and then to apply the theorem, which is quite easy.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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