Which expression and value represents 100 less than 3 times the sum of 18 and 2?
3 × (18 + 2) – 100; –44
3 × (18 + 2) – 100; –40
100 – 3 × (18 + 2); 40
100 – 3 × (18 + 2); 48

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.