Consider the following function.

f(x) = 1 ? x2/3

Find f(?1) and f(1).

f(?1) =

f(1) =

Find all values c in (?1, 1) such that f?'(c) = 0. (Enter youranswers as a comma-separated list. If an answer does not exist,enter DNE.)

c =

Based off of this information, what conclusions can be madeabout Rolle's Theorem?

This contradicts Rolle's Theorem, since f is differentiable,f(?1) = f(1), and f?'(c) = 0 exists, but c is not in (?1, 1).

This does not contradict Rolle's Theorem, since f?'(0) = 0, and0 is in the interval (?1, 1).

This contradicts Rolle's Theorem, since f(?1) = f(1), thereshould exist a number c in (?1, 1) such that f?'(c) = 0.

This does not contradict Rolle's Theorem, since f?'(0) does notexist, and so f is not differentiable on (?1, 1).

Nothing can be concluded.