Suppose $F : \mathbb { R } \rightarrow \mathbb { R }$ is a continuous function which has exactly one local maximum. Then which of the following is true?
(A) $F$ cannot have a local minimum.
(B) $F$ must have exactly one local minimum.
(C) $F$ must have at least two local minima.
(D) $F$ must have either a global maximum or a local minimum.
Suppose $F : \mathbb { R } \rightarrow \mathbb { R }$ is a continuous function which has exactly one local maximum. Then which of the following is true?\\
(A) $F$ cannot have a local minimum.\\
(B) $F$ must have exactly one local minimum.\\
(C) $F$ must have at least two local minima.\\
(D) $F$ must have either a global maximum or a local minimum.