Absolute+vs.+Relative+Extrema

The term extrema encapsulates both maxima and minima for a function. Relative extrema are points where the slope of the tangent lines of the graph change from positive to negative or vice versa. To find the absolute extrema, one must take all relative extrema into account and find the largest maximum and the smallest minimum.

Note: The terms absolute and global are interchangeable pertaining to this graph.