Illustrates various graph characteristics such as function values, extrema, increase/decrease, and concavity.

Drag the purple dots around the display to change the graph. Drag the "[math]a[/math]" and "[math]b[/math]" dots left and right to change the interval of interest. Check the boxes one at a time to illustrate the concept described. (You can have more than one box checked, but the display might get confusing with too much going on at once!)[br][br]Relative (Local) and Absolute (Global) extrema (min/max) are valid on the closed interval [math][a, b][/math].[br][br]Selecting "x & y Cursors" allows you to drag the blue "x" dot along the [math]x[/math]-axis, and see the corresponding [math]y[/math]-value projected onto the [math]y[/math]-axis.