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]
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Question 935701: 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 josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The square parentheses mean you can INCLUDE the boundaries of the interval.
x=-2:
NEGATIVE
x=-1:
POSITIVE
Polynomial functions are continuous everywhere. The function changes signs inside the given interval, so f must cross the x-axis, and therefore has a zero in the interval.
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