Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. 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. If the Mean Value Theorem cannot be applied, explain why not. f(x) = x4/5, [0, 1]
![Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. 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. If the Mean Value Theorem cannot be applied, explain why not. f(x) = x4/5, [0, 1]](https://www.doubtrix.com/uploads/editor/3556752601cgJJBQGuum.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 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)