document.write( "Question 481735: f(x)-3x^3-6x^2+10x+9;[-1,0]
\n" );
document.write( "Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.\r
\n" );
document.write( "\n" );
document.write( "Thank You \n" );
document.write( "
Algebra.Com's Answer #329821 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Hint: Plug in the left endpoint x=-1 into f(x) to get some value. Make sure you take note of the sign of this value.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plug in the right endpoint x=0 into f(x) to get another value. Again, take note of the sign.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now if there was a sign change from f(-1) to f(0), then a zero exists in that interval. \n" ); document.write( " |