You have two exponential functions. One has the formula h(x) = -2x + 8. The other function, g(x), has the graph shown below. Which inequality below is true on the indicated interval?

g( x) ≥ h( x) on the interval -2 ≤ x ≤ -1
g( x) ≥ h( x) on the interval 0 ≤ x ≤ 1
h( x) ≤ g( x) on the interval 1 ≤ x ≤ 2
h( x) ≤ g( x) on the interval -1 ≤ x ≤ 0

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.