Part 2/5:
An exemplary function could be (z = \cos(x) + \cos(y)). In this equation, (z) is defined based on both (x) and (y), making it necessary to visualize the output across three dimensions: the (x) axis, the (y) axis, and the (z) axis as the dependent value.
Graphing Basics
To graph the function (z = \cos(x) + \cos(y)):
Determine Coordinate Points: Start with values, such as (x = 0) and (y = 0). Here, (\cos(0) = 1), leading to (z = 2).
Visualize the Axes: In 3D graphing, the coordinates create a space where the (z) axis can rise as a response to changes in (x) and (y). The resulting graph often resembles a smooth surface or plane extending infinitely.