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GeoGebraGeoGebra Classroom

Functions of two variables

Task

Graph the function f(x, y) = sin(x + y) and observe the created surface by moving a point along the function graph.

Explore the construction...

Instructions

1.Toolbar ImageEnter f(x, y)= sin(x + y) into the Input Bar and hit the Enter key to define a function f.
2.Toolbar ImageCreate the point A by entering A = (2, 0, 0) into the Input Bar and hitting the Enter key.
3.Toolbar ImageEnter Segment(A, (x(A), y(A), f(x(A), y(A)))) into the Input Bar to create a segment g.
4.Toolbar ImageCreate the point B by entering B = (x(A), y(A), f(x(A), y(A))) into the Input Bar.
5.Toolbar ImageExploration: Use the Move tool to change the position of point A. You can also change the function f by entering another function: e.g. f(x, y)= sin(x) + sin(y)
7. Enhance your construction using the Style Bar.

Try it yourself...