Question

If f(x) = ∣(x2 − 10)(x2 + 1)∣, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem?

None

One

Two

Three

Answer 1

\[\Large ∣(x^2 − 10)(x^2 + 1)∣\]

Answer 2

@dan815 @myininaya

Answer 3

@iambatman

Answer 4

Please name the requirements of the Mean Value Theorem.

Answer 5

The graph (f) must be continuous on the closed interval [a,b]
The graph also has to be differentiable on the open interval (a,b)