Greg Kelly, Hanford High School, Richland, Washington.

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Presentation transcript:

Greg Kelly, Hanford High School, Richland, Washington

The functions that we have studied this year have all been functions of one independent variable: eg: In real life, functions often have more than one independent variable: eg:

Functions with two independent variables can be represented graphically. This is not easy to do by hand, and our calculators do not do a great job either.

y x z sketch of graph

y x z x y sketch of graphlevel curves Level curves are drawn by holding the z value constant (similar to contour lines on a topographic map.)

y x z sketch of graph Let’s look at the same graph plotted on the TI-89: First change the mode to 3D. Then go to the Y= screen and enter the equation.

By pressing the arrow keys, you can rotate this graph! 