Level Curves
The level curves are the projections onto the plane of the curves that we obtain by intersecting a function with an horizontal plane given by the equation .
As varies, we obtain a series of contours representing the points of the function that are at the same height: this visualization provides valuable insight into the behavior of .
Explore the level curves of various functions, such as , , or . The SHOW/HIDE TRACE button allows you to toggle between viewing only the level curve corresponding to the current value of and displaying all the level curves within the selected range of .
To rotate the 3D View, right-click and drag the mouse, or use standard touch gestures on mobile devices.