(02.03 lc)
the data set below shows the number of books checked out from a library during the first two weeks of the month,
99, 29, 30, 42, 35, 36, 30, 35, 38, 43, 39, 40.28, 31
which of the following statements is true based on the data set?

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.