See where the graph of a cubic function is concave, convex,
increasing or decreasing. Adjust the coefficients of the polynomial to
tailor the graph to your specifications.
A graphing window displays the graph of f(x) = ax3 + bx2 + cx + d .
Sliders at upper right control the values of a , b , c , and d .
A slider below the window controls the value of x , a white diamond
marks the corresponding point on the graph, and a ghosted strut connects
the slider position to the graph point (x,y) .
Violet diamonds mark extrema and blue cyan diamonds mark points of
inflection.
Checkboxes select highlighting the portion of the graph having the following
attributes: Rising (yellow), Falling (green), Concave (orange), Convex (red).
The expression for f(x) is displayed, as is the value of f(x) for the chosen value of x .
Rolling the mouse over the graphing window creates crosshairs and a readout
of the values of x and y . Depressing the mousekey suppresses this readout.
© 2010 H. Miller, H. Burgiel, and J.-M. Claus