Cross Sections of Graphs of Functions of Two Variables

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The graph of a function of two variables can be better understood by looking at slices, or cross sections, of the graph parallel to the
or
planes. Slicing is equivalent to holding
(or
) constant at
and looking at the graph of the resulting single-variable function
(or
, respectively). This Demonstration helps students connect the slice on the 3D graph of
with the 2D graph of
or
in its own right.
Contributed by: Joshua Sabloff and Stephen Wang (Haverford College) (March 2011)
Open content licensed under CC BY-NC-SA
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"Cross Sections of Graphs of Functions of Two Variables"
http://demonstrations.wolfram.com/CrossSectionsOfGraphsOfFunctionsOfTwoVariables/
Wolfram Demonstrations Project
Published: March 7 2011