document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85220>Question 85220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Greetings, \r<BR>\n" );
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document.write( "    Any help with the following would be appreciated.\r<BR>\n" );
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document.write( "1.  The table shows several values of the function f(x) = -x^3 + x^2 -x + 2.  Complete the missing values in this table, and then use these values and the intermediate value theorem to determine (an) interval(s) where the function must have a zero.\r<BR>\n" );
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document.write( "x     -2  ,   -1  ,   0  ,   -1  ,   2<BR>\n" );
document.write( "f(x)  16  ,    ?  ,   ?  ,    ?  ,  -4\r<BR>\n" );
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document.write( "Possible choices are:<BR>\n" );
document.write( "(0, 1)<BR>\n" );
document.write( "(1, 2)<BR>\n" );
document.write( "(0, 1) &#8746; (2, &#8734;)<BR>\n" );
document.write( "(–&#8734;, 0) &#8746; (2, &#8734;)\r<BR>\n" );
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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 #61640 by </B><A HREF=/tutors/aboutme.mpl?userid=scianci><B>scianci(186)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scianci><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=61640\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have f(-2) = 16 , f(-1) = 3 , f(0) = 2 , f(1) = 1 and f(2) = -4. Since f(x) changes sign from x = 1 to x = 2, by the Intermediate Value Theorem there must be a zero between 1 and 2. Tha answer is (1 , 2). </SPAN>\n" );
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