Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 7 [1, 14] X + No, f is not continuous on [1, 14]. Yes, f is continuous on [1, 14] and differentiable on (1, 14). There is not enough information to verify if this function satisfies the Mean Value Theorem. Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is continuous on [1, 14] but not differentiable on (1, 14). If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).

Does the function satisfy the hypotheses of the Mean Value Theorem on the given Interval? f(x) = x3 + x - 6, [0, 2] O Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R. O Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. O No, f is not continuous on [0, 2]. O No, fis continuous on [o, 2] but not differentiable on (0, 2). O There Is not enough information to verify if this function satisfies the Mean Value Theorem. If it satisfles the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers hypotheses, enter DNE).

Graph the function f(x) = x + 5/x and the secant line that passes through the points (1, 6) and (10, 10.5) in the viewing rectangle [0, 12] by [0, 12].