The maximum value is the highest point that a function reaches within a given interval.
Topic 5.2: 5.2 Extreme Value Theorem, Global vs Local Extrema, and Critical Points
Maximum Value cheat sheet for homework
The minimum value is the lowest point that a function reaches within a given interval.
Local extrema are points on a graph where the function reaches either a maximum or minimum value, but only within a small neighborhood of that point.
Absolute extrema are the overall highest and lowest points on an entire graph or over an entire interval.