If f(x) = |(x^2-12)(x^2+4)|, how many numbers in the interval -2 <= x <= 3 satisfy the conclusion of the Mean Value Theorem?

A. None

B. One

C. Two

D. Three

E. Four

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- Oct 26th 2007, 03:22 AMDINOCALC09Mvt
If f(x) = |(x^2-12)(x^2+4)|, how many numbers in the interval -2 <= x <= 3 satisfy the conclusion of the Mean Value Theorem?

A. None

B. One

C. Two

D. Three

E. Four - Oct 26th 2007, 09:13 AMPlato
On the interval $\displaystyle \left[ { - 2,3} \right]$ the function is $\displaystyle

f(x) = - \left( {x^2 - 12} \right)\left( {x^2 + 4} \right)$

Apply the MVT.