Global Extrema on an Interval

left boundary

right boundary

curve

quadratic1

quadratic2

cubic

quartic1

quartic2

quintic

show global extrema

This Demonstration shows that the global extrema on an interval are located at either the local extrema or at the endpoints. Move the boundaries to either include or exclude the local extrema for the desired interval. Values of the global extrema on the interval can be shown or hidden and updated with sliders.