A function, f(x), models the depth of water in a wading pol that is filling at a rate of 11 gallons per minute. which of these describes why f(x) can be considered a linear function. I. Fore every 1-minute interal the depth of water in the wading pool increasews by the same amount.
II. The function grows by equal factors every minute.
III. The slope of the function is constant.
A. I only
B. I and III only
C. II and III only
D. I, II, and III

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.