The graph of which function will have a maximum and a y-intercept of 4?
SEE
f(x) = 4x2 + 6x - 1
f(x) = 4x2 + 8x +5
f(x) = -x2 + 2x +4
f(x) = x2 + 4x - 4

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.