Of the last 14 contestants on a game show, 7 qualified for the bonus round. Considering this data, how many of the next 10 contestants would you expect to qualify for the bonus round? a. 7/10
b. 3/7
c. 1/2
d. 1/3​

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . 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.