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    Intermediate value theorem

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    Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.

    f(x)=10/((x^2)+1) [0,1] k=8

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    https://brainmass.com/math/functional-analysis/intermediate-value-theorem-49605

    Solution Preview

    First, f(x) is continuous on [0,1] and we can use the intermediate value theorem.
    f(0)=10/(0+1)=10>k=8
    f(1)=10/(1+1)=5<k=8
    So we can ...

    Solution Summary

    This shows how to determine if a function follows the intermediate value theorem.

    $2.49

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