document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65567>Question 65567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are several values of the function f(x)=-x^3+x^2-x+2.  Complete the missing values., 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" );
document.write( "\n" );
document.write( "x: -2,-1,0,1,2; f(x): 16,...,...,...,-4\r<BR>\n" );
document.write( "\n" );
document.write( "This was shown as a table where \"x\" was over f(x) and we have to find the missing variables and then solve.  I would really appreciate some help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46188 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=46188\">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" );
document.write( "\n" );
document.write( "Complete the missing values., and then use these values and the intermediate value theorem to determine (an) interval(s) where the function must have a zero. <BR>\n" );
document.write( "x: -2,-1,0,1,2; f(x): 16,...,...,...,-4 <BR>\n" );
document.write( "------------<BR>\n" );
document.write( "f(-2)=16<BR>\n" );
document.write( "f(-2)=-(-1)^3+(-1)^2-(-2)+2=-1+1+2+2=4<BR>\n" );
document.write( "f(0)=2<BR>\n" );
document.write( "f(1)=-1+1-1+2=1<BR>\n" );
document.write( "f(2)=-4<BR>\n" );
document.write( "The change in sign occurs between x=1 and x=2 so there must<BR>\n" );
document.write( "be a zero on the interval (1,2)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );