16. Solve each of the following quadratic inequalities. (a) (x - 2)2 < 3(x - 2)
(b) x2 + 8x + 2 > =0
(c) x2 - 10x - 3 > 0
(d) 2x2 – 5x > 1
+
FORM 4
Equations
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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.