Andrew is building the rectangular prism below with inch cubes. Use the figure to fill in the blanks below.

Each layer will have
inch cubes in each of 5 rows.

It will take a total of | answer |
layers to build the rectangular prism.

So, there will be a total of | answer |
inch cubes, which means the volume of the rectangular prism is | answer |
cubic inches.

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.