Need ! it’s urgent
1. an open box is to be made from a rectangular piece of cardboard , 30 inches by 24 inches, by cutting equal square from the corners and turning up the side
a. write a function v(x) to using graphing technology. determine the domain and range of the function and of the problem situation. explain your reasoning.
b. represent the function v(x) using graphing technology. determine the domain and range of the function and of this problem situation. explain your reasoning.

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.