Acompany that sells prefabricated homes ships the frames for each home in large shipping containers. each shipping container is in the shape of a rectangular prism and its volume can be represented by the polynomial expression 5x^3 + 7.5x^2, where x is the width of the shipping container. if the length of the shipping container is five times the width, write the expression that represents the height of the shipping container in terms of its width, x.

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.