Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = x2, [4, 5] Yes, the Mean Value Theorem can be applied. No, f is not continuous on [a, b]. No, f is not differentiable on (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = f(b) − f(a) b − a. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) c =
![Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = x2, [4, 5] Yes, the Mean Value Theorem can be applied. No, f is not continuous on [a, b]. No, f is not differentiable on (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = f(b) − f(a) b − a. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) c =](https://www.doubtrix.com/uploads/editor/5395930677qMSzPQNJWA.png)
![Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = |3x + 7|, [−5, 1] Yes, the Mean Value Theorem can be applied. No, f is not continuous on [a, b]. No, f is not differentiable on (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = f(b) − f(a) b − a. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) c =](https://www.doubtrix.com/uploads/editor/3409842192oDBqSvqgWG.png)
![Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select all that apply. ) f(x) = (x + 3) ln(x + 3), [−2, −1] Yes, the Mean Value Theorem can be applied. No, f is not continuous on [a, b]. No, f is not differentiable on (a, b). None of the above. If the Mean Value Theorem can be applied, find all values of c in the open interval (a, b) such that f′(c) = f(b) − f(a) b − a. (Enter your answers as a comma-separated list. If the Mean Value Theorem cannot be applied, enter NA.) c =](https://www.doubtrix.com/uploads/editor/1481583130xaEsKnNpzN.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)