QuestionWhich of the following are true? A) It is possible for a function to not have a global maximum or a global minimum. B) If a continuous function has 3 critical points then it must have a global maximum. Only B Only A $A$ and $B$ Neither A or B Clear my selection

Studdy Solution
Determine which statements are true:
Statement A is true because there exist functions without global maxima or minima, such as $f(x) = x$.
Statement B is false because a continuous function with 3 critical points does not guarantee a global maximum, as demonstrated by $f(x) = x^3 - 3x$.
Thus, the correct answer is "Only A".
The correct answer is:
$$\boxed{\text{Only A}}$$