document.write( "Question 317256: Can intermediate value theorem be used to determine whether the function
\n" ); document.write( "f(x)=∣x∣−1 has a zero between
\n" ); document.write( "x=−3 and x=3 ? Explain. \n" ); document.write( "

Algebra.Com's Answer #227107 by Fombitz(32388) $\"\"$ $\"About$

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No.
\n" ); document.write( " $\"f%283%29=2\"$
\n" ); document.write( " $\"f%28-3%29=2\"$
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\n" ); document.write( "All you can say is that on [-3,3] there is a value of $\"x\"$ where $\"f%28x%29=2\"$ .
\n" ); document.write( "But you already know that because $\"f%283%29=f%28-3%29=2\"$ .
\n" ); document.write( "So the intermediate value theorem can't help here.
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