document.write( "Question 937062: Use the intermediate value theorem to show that the polynomial functions has zero in the given interval\r
\n" ); document.write( "\n" ); document.write( " $\"+f%28x%29+=+4x%5E3%2B3x%5E2-7x%2B7+\"$ ; [-4,-2] \n" ); document.write( "

Algebra.Com's Answer #570500 by josgarithmetic(39620) $\"\"$ $\"About$

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The bounds of the interval are included. Check the signs of $\"f%28-4%29\"$ and $\"f%28-2%29\"$ . If opposite, then z zero occurs between them on the interval.\r
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\n" ); document.write( "\n" ); document.write( "A report of not being satisfied, here I explain, hopefully better:
\n" ); document.write( "The goal is to learn if f crosses the x-axis on the given interval. The bounds of the interval ARE INCLUDED. Let x be the left shown bound and evaluate f. Let x be the right shown bound and evaluate f. Now LOOK AT THE SIGNS of these f values. Compare this to what the Intermediate Value Theorem says. \n" ); document.write( "

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