Question

Mean Value Theorem and Rolle's Theorem

Answer 1

So I was doing my work and I kept getting answers I wasn't sure about. Check them for me and explain please?
Rolle's Theorem:
1.) Ix-2I -2 <--absolute signs [0,4]
I got does not apply because it is an absolute function and it creates a cusp but i feel like there is more to that...

2.) 2x^2-7 [0,4]
I got does not apply because f(a) does not equal f(b)

Mean Value Theorem:
1.) 1/x^2 [-2,1]
I got does not apply because it is discontinuous on 0 which is in the interval

2.) x^2/3 [1,8]
I got does not apply because it creates a cusp and is undefined when set to zero.