Which of the following correctly represents the expression with a rational exponent?
(^6 (pretend there is a radical sign here)x^7 z^-2)^5

A. (x^7/z^2)^5/6

B. (x^7/z^2)^6/5

C. (x^7 z/2)^5/6

D. (x^7 z/2)^6/5

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.