document.write( "Question 1153112: Using intermediate value theorem determine, if possible whether the function f has at least one real zero between a and b f(x)=3x^2-2x-11 [2,3] \n" ); document.write( "

Algebra.Com's Answer #775269 by ikleyn(52800) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "Calculate f(2) and f(3).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If these two values have different signs, then the intermediate value theorem is applicable, \r\n" );
document.write( "and you may then conclude that the function f(x) has at least one zero in the interval (2,3).\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Happy calculations, and I wish you to get fun by applying this remarkable intermediate value theorem.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );