40 ! astronomers measure large distances in light-years. one light-year is the distance that light can travel in one year, or approximately 5.88 × 10^12 miles. suppose a star is 3.2 × 10^2 light-years from earth. in scientific notation, approximately how many miles is it?

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.