Using data for the years 1985 to 1990, the function y = 5x + 22.9 can be used to estimate the first trend, while the function y = 3.3x + 33 can be used to estimate the second trend. For both functions, x if the number of years since 1985. If these trends continue, in what year are the two trends equal. x =
What year would that be?

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.