Showing a Zero of f(x) Using Bolzano's Theorem

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Use the intermediate value theorem to show that f(x) has a zero in the given interval. Please show all of your work.
f(x)=-3x³+6x²-4x+12;[2.2,2.3]

have to use the Bolzano's Theorem(special case of the intermediate value theorem
can someone please help me out with this problem?
 
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shiloh said:
Use the intermediate value theorem to show that f(x) has a zero in the given interval. Please show all of your work.
f(x)=-3x³+6x²-4x+12;[2.2,2.3]

have to use the Bolzano's Theorem(special case of the intermediate value theorem
can someone please help me out with this problem?

read the forum rules on how homework questions are to be posted.
 
Do you know what Bolzano's Theorem states?