Functions of several variables: Visualisation of functions of two variables
Level curves and contour plots
Match the given functions in two variables \(x\) and \(y\) to the corresponding contour plots below, where the graphs are drawn for the region \([-3,3]\times[-3,3]\).
In the contour plots, the \(x\) direction is horizontal and the \(y\) direction is vertical.
Drag a function rule to each figure below, or more precisely, to the frame below a figure.
You can drag one function rule after another and check each time the correctness, or you can drag a few function rules in succession and then check. By clicking on the Reset button you indicate that you want to start with a clean slate.
In the contour plots, the \(x\) direction is horizontal and the \(y\) direction is vertical.
Drag a function rule to each figure below, or more precisely, to the frame below a figure.
You can drag one function rule after another and check each time the correctness, or you can drag a few function rules in succession and then check. By clicking on the Reset button you indicate that you want to start with a clean slate.
#(x,y)\mapsto 4x^2-y^2#
#(x,y)\mapsto x^2-4y^2#
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