If f is not continuous on the closed interval , then f cannot have an absolute maximum value.
A)false
B)true

Question

If f is not continuous on the closed interval  , then f cannot have an absolute maximum value.
A)false 
B)true

Quizplus · Accepted Answer

This statement is true. If f is not continuous on the closed interval, then it may have a discontinuity point where the function "jumps" to a higher value, which could potentially be the absolute maximum. However, if the function is continuous on a closed interval, then by the Extreme Value Theorem it must have an absolute maximum and minimum within that interval.

If F Is Not Continuous on the Closed Interval