SOLUTION: Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x)=-2x^4+2x^2+4; [-2,-1]

Question 1046216: Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x)=-2x^4+2x^2+4; [-2,-1]
Answer by ikleyn(52801) (Show Source): You can put this solution on YOUR website!
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Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval. f(x)=-2x^4+2x^2+4; [-2,-1]
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Calculate the polynomial at the ends of the given intervals.
In other words, calculate f(-2) and f(-1).

If these two values have different signs (one is positive while the other is negative) then the polynomial HAS a root in the interval.

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