Three girls are selling cases of popcorn to earn money for a band trip. in their first week, emily sold 2 3/4 cases, brenda sold 4 1/4 cases, and shannon sold 31/2 cases. how many cases of popcorn have the girls dold in all?

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.