Determine whether the conjecture is true or false. Give a counterexample for any false conjecture.

Given: Two angles are supplementary.
Conjecture: They are both acute angles.
Question 14 options:

False; either both are right or one is obtuse.

True

False; either both are right or they are adjacent.

False; they must be vertical angles.

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.