Austin consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Austin's body decreases exponentially. The 10-hour decay factor for the number of mg of caffeine in Austin's body is 0.2785.

a. What is the 5-hour growth/decay factor for the number of mg of caffeine in Zach's body?
b. What is the 1-hour growth/decay factor for the number of mg of caffeine in Zach's body?

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.