`f(x) = x^(2/3) - 1, [-8,8]` Determine whether Rolle’s Theorem can be applied to `f` on the closed interval `[a, b]`. If Rolle’s Theorem can be applied, find all values of `c` in the open interval
Rolle's Theorem does not apply to the function f(x) on the given interval because all 3 conditions of Rolle's Theorem will not be met.
The function f(x) is continuous on the closed interval [-8,8].
The function f(x) is not differentiable on the open interval (-8, 8). The function is not differentiable at x=0.
Because all 3 conditions are NOT met Rolle's Theorem does NOT apply.