At 11: 00 am, mike had “w” cups of food in a container for his cat bailey. mike pours a 2 ½ cup box of food into a large container. then he removes ¾ cups of food to feed his cat. now there are 5 ¼ cups of food in the container. write an equation to show the number of cups ,”w” of food in the container at 11: 00 am. solve the equation to find your answer. answer

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.