Determine the value of a so that the average rate of change of f(x)=3x^2+ax-4 over the interval [-1,2] is 8.

Name the most appropriate metric unit for each measurement like a length of an carrot

Find the cosine function that is represented in the graph.

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.