Adoctor's office schedules 15-minute appointments and 45 minute appointments for weekdays. the doctor limits these appointments to, at most, 30 hours per week. write an inequality to represent the number of 15-minute appointments x and the number of half-hour appointments y the doctor may have in a week

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.