Answer Happy

-/4 Points] SCALCET9 4.2.013. O/15 Submissions Used Consider the following function. f(x)=4−x2/3 Find f(−8) and f(8). f(−8)= f(8)= Find all values c in (−8,8) such that f′(c)=0. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c= Based off of this information, what conclusions can be made about Rolle's Theorem? This contradicts Rolle's Theorem, since f is differentiable, f(−8)=f(8), and f′(c)=0 exists, but c is not in (−8,8). This does not contradict Rolle's Theorem, since f′(0)=0, and 0 is in the interval (−8,8). This contradicts Rolle's Theorem, since f(−8)=f(8), there should exist a number c in (−8,8) such that f′(c)=0. This does not contradict Rolle's Theorem, since f′(0) does not exist, and so f is not differentiable on ( −8,8). Nothing can be concluded.