Absolute Maximums

Definition

Absolute maximums are the highest values that a function reaches over its entire domain. These points represent the global maximum and can occur at either critical points or endpoints of an interval.

Related terms

Local Maximums: Local maximums are points on a graph where a function reaches its highest value within a specific interval. They may not be as high as the absolute maximum but represent peaks within smaller regions.

End Behavior: End behavior refers to how a function behaves as x approaches positive or negative infinity. It helps determine if there is an absolute maximum or minimum.

Optimization Problems:

Optimization problems involve finding extreme values (such as absolute maximum) based on certain constraints or conditions. These problems often require using calculus techniques to solve them effectively.