document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43599>Question 43599</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh>Algebra and trigonometry with analytic geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The table shows several value 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 vaule theorem to determine (an) interval(s) where the function must have 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( "My answer is (0,1) u (2,infty) but unsure. thanks as always for the help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28603 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=28603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)= -x^3+x^2-x+2.\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( "Your f(-1), f(0), and f(1) are all positive.<BR>\n" );
document.write( "Your f(2) is negative.<BR>\n" );
document.write( "Since the function is continuous in the interval x=1 to x=2 <BR>\n" );
document.write( "The graph must cross the x-axis to get from + to -<BR>\n" );
document.write( "Therefore there must be a zero between x=1 and x=2.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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