Use a graphing utility to graph the function on the closed interval [a, b]. Determine whether Rolle's Theorem can be applied to f on the interval and, if so, find all values of c in the open interval (a, b) such that f′(c) = 0. f(x) = 9x − tan(πx), [−1/4, 1/4]
![Use a graphing utility to graph the function on the closed interval [a, b]. Determine whether Rolle's Theorem can be applied to f on the interval and, if so, find all values of c in the open interval (a, b) such that f′(c) = 0. f(x) = 9x − tan(πx), [−1/4, 1/4]](https://www.doubtrix.com/uploads/editor/5735352699NovnXedRJc.png)
![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = −x2 + 7x, [0, 7] Yes, Rolle's theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) ≠ f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c =](https://www.doubtrix.com/uploads/editor/0260881859hzvUNDBoZY.png)
![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = x4/5 + 7, [−32, 32] Yes, Rolle's Theorem can be applied. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a)≠f(b). If Rolle's theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c =](https://www.doubtrix.com/uploads/editor/6688873147wpOyHTuFnM.png)
![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = x2 − 4x − 21 x + 6, [−3, 7] Yes. No, because f is not continuous on the closed interval [a, b]. No, because f is not differentiable in the open interval (a, b). No, because f(a) ≠ f(b) If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) c =](https://www.doubtrix.com/uploads/editor/5820752820BpLCynSwDe.png)