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Mean Value Theorem and Intervals

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Use the Mean Value Theorem to find c = _________________
the value, or values, of c for the following function, in the interval [- 1, 1],
that satisfies the theorem.

For x>=0, G(x) = 1 + x^2
For x < 0, G(x) = 1 - x^2

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Solution Summary

The mean value theorem and intervals are examined.

Solution Preview

Here, a = -1, b = 1
G(b) = G(1) = 1 + 12 = 2
G(a) = G(-1) = 1 - (-1)2 = ...

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