# Mean Value Theorem and Intervals

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

https://brainmass.com/math/basic-calculus/mean-value-theorem-intervals-31895

#### Solution Preview

Here, a = -1, b = 1

G(b) = G(1) = 1 + 12 = 2

G(a) = G(-1) = 1 - (-1)2 = ...

#### Solution Summary

The mean value theorem and intervals are examined.

$2.19