SOLUTION: Use the intermediate value theorem to determine, if possible, whether g(x)=-2x^3-3x+10 has a zero between -1 and 0. If it is not possible to make a determination using this method,
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Question 966543: Use the intermediate value theorem to determine, if possible, whether g(x)=-2x^3-3x+10 has a zero between -1 and 0. If it is not possible to make a determination using this method, state this.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
has a zero between and ;
find the value of and , and see where it (if at all) changes sign, that will be the answer
=>
find the value of
=> changes in sign, so the answer is does have a zero between and
or, since and and is a polynomial, the Intermediate Value Theorem tells us that for some value of that is between and
let's see it on a graph:
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