Over a 24-hour period, the temperature in a town can be modeled by one period of a sinusoidal function. the temperature measures 70°f in the morning, rises to a high of 80°f, falls to a low of 60°f, and then rises to 70°f by the next morning. what is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24 hour period, that models the situation?

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.