How to determine the absolute and local max min

The video tutorial explains the concepts of absolute and local maximum and minimum points on a graph. It highlights that an absolute maximum is the highest point, while an absolute minimum is the lowest point, but these may not exist if the graph extends indefinitely. The tutorial also covers local maxima and minima, which are points that are the highest or lowest within a specific range. It further explains that there can be multiple local or absolute maxima and minima as long as they occur at the same values.

What is the absolute maximum point on a graph?

• The lowest point on the graph

• The highest point on the graph

• A point that is both the highest and the lowest

• A point that is neither the highest nor the lowest

Why is there no absolute minimum in the given graph?

• The graph continues indefinitely downward

• The graph has multiple peaks

• The graph has a defined endpoint

• The graph is symmetrical

How is a local maximum defined?

• The lowest point in a specific range

• A point that is both high and low

• The highest point in a specific range

• A point that is neither high nor low

What is a local minimum?

• A point that is both high and low

• A point that is neither high nor low

• The lowest point in a specific range

• The highest point in a specific range

Can there be more than one local maximum on a graph?

• No, because the graph is continuous

• Yes, but only if they are at different values

• Yes, as long as they occur at the same values

• No, there can only be one