Question

If f(x) = |(x^2 − 4)(x^2 + 2)|, how many numbers in the interval [0, 1] satisfy the conclusion of the Mean Value Theorem?

1
2
3
None

Answer 1

@mathmale

Answer 2

solve f(0) and f(1)

Then you can easily work out the mean slope between those points

The owrk out the derivitive f'(x) and set that equal to mean value of slope

solve for the answer

(OR plot the curve - the answer is evident from that...)