Algebra mid-unit review quiz unit 3 lesson 5 1. simplify the rational expression; 2m^2 - 72/ m - 6. a. 2 ( m+6) b. 2 c. 2 ( m-6) d. m + 12 2. simplify the rational expression; -8z^2/ z^4 - z^2. a. -8z b. -8 c. -8/ z^2 d. -8/ z^2 - 1 3. simplify the rational expression; 6x-54/ 7x-63. a. - 6/7 b. 6/7 c. 6(x-9)/ 7 d. 6/ 7 (x-9)

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.