what is the answer and why

5. (1 mark) Let a 0 and F'(c)

5. (1 mark) Let a < b < c. For a function, F@), let F' (b) 0 and F/' (b) 0. c = b is the only x-value for which these conditions are met. Which of the following statements must be true? Elt is impossible for F (b) to be a local max. F/' (a) < 0, then F (b) is a local max. Nilhlf F/(a) > O and F'(c) < O, then F(b) is a local max. a (b c 1 and 11 11 and 111 111 only II only I only 1, 11, and 111