Unformatted text preview: To do this, you must construct a three-dimensional graph. the xy plane is laid horizontally and z is perpendicular to this plane. To graph a function f(x,y) of the two independent variables x and y, it is customary to introduce the letter z to stand for the dependent variable and to write z=f(x,y). The ordered pairs (x,y) in the domain of f are thought of as points in the xy plane, and the function f assigns a "height" z to each such point. Thus, if f(1,2)=4, you would express this fact geometrically by plotting the point (1,2,4) in a three-dimensional space....
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- Winter '09
- Calculus, Cartesian product, x,y, independent variables