Thus fo > f (wa) for all a E (0, 1) which completes the proof. Which of the following functions are convex? (A) Exponential (B) Linear 1.OF -1.0 0.5 1.0 0.5 (C) Broken Quadratic (D) Inverted Bell -0.2 -0.4 0.5 -10 -05 V (Alf(w) = ew. (B) f (w) = w. O (c) f (w) = a if x 0, so that we know that it is a minimum. What can we say about it being a global minimum? Of" (w') > 0 is both a sufficient condition for w/ to be global minimum, and it is a necessary condition. O f" (w') > 0 is a sufficient condition for us to be global minimum, but it is not a necessary condition. O f" (w/) > 0 is a necessary condition for w to be global minimum, but it is not a sufficient condition. Of" (w') > 0 is neither a sufficient condition for wo to be global minimum, nor is it a necessary condition. X Submit You have used 1 of 2 attempts Save