The length of a spring is a linear function of the weight of the object compressing it. for a particular spring, the length decreases by 1.5 inches for every 3 pounds pressing down on it. when 4 pounds are on the spring, the length of the spring is 8 inches long. what is the length of the spring if 15 pounds are pressing down on the spring?

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.