To effectively sketch 3D functions like z=4-x-y, it is recommended to analyze the function by setting either x or y to zero to visualize the resulting z-y or z-x planes. Exploring the behavior of the function as x or y approaches infinity can provide insights into its overall shape. Drawing contour lines can aid in understanding the function's structure, although some users find this concept challenging. Utilizing software like Matlab can facilitate the plotting process, and converting to rectangular or spherical coordinates may also be beneficial. Mastering these techniques will enhance the ability to graph complex 3D functions.
