What is the equation of the line that best fits the given data? A graph has points (1, 7), (1, 6), (2, 5), (2.5, 5), (3, 3), (4, 1). a. y = negative 5 x + 11 c. y = 3 x + 10 b. y = negative one-third x + 10 d. y = negative 2 x + 9

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.