Does The Function Satisfy The Hypotheses Of The Mean Value Theorem On The Given Interval F X Ln X 1 6 Yes It Does 1 (16.55 KiB) Viewed 30 times
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)=ln(x),[1,6] Yes, it does not matter if f is continuous or differentiable, every function satisfies the Mean Value Theorem. Yes, f is continuous on [1,6] and differentiable on (1,6). No, f is not continuous on [1,6]. No, f is continuous on [1,6] but not differentiable on (1,6). There is not enough information to verify if this function satisfies the Mean Value Theorem. c=2.79
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x)=x1,[1,7] Yes, it does not matter if f is continuous or differentiable, every function satisfies the Mean Value Theorem. Yes, f is continuous on [1,7] and differentiable on (1,7). No, f is not continuous on [1,7]. No, f is continuous on [1,7] but not differentiable on (1,7). There is not enough information to verify if this function satisfies the Mean Value Theorem. c=3.0833
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