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

[table][tr][td][size=100]1.[/size][/td][td][size=100][size=100][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/size][/size][/td][td][size=100]Enter [code]f(x, y)= sin(x + y) [/code]into the[i] Input Bar[/i] and hit the [i]Enter [/i]key to define a function [i]f[/i].[br][/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][size=100][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/size][/size][/td][td][size=100]Create the point[i] A[/i] by entering [code]A = (2, 0, 0)[/code] into the[i] Input[/i] [i]Bar [/i]and hitting the [i]Enter[/i] key.[br][/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/size][/td][td][size=100]Enter [size=100][code]Segment(A, (x(A), y(A), f(x(A), y(A))))[br][/code][/size][code][/code] into the [i]Input Bar[/i] to create a segment [i]g[/i].[br][/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/size][/td][td]Create the point B by entering [size=100][size=100][code]B = (x(A), y(A), f(x(A), y(A)))[/code][/size][/size][code][/code] into the [i]Input Bar[/i]. [br][/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100][b]Exploration:[/b] Use the [i]Move [/i]tool to change the position of point [i]A[/i]. You can also change the function f by entering another function: e.g. [code]f(x, y)= sin(x) + sin(y)[/code][br][/size][/td][/tr][tr][td]7.[/td][td][size=100][img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/size][br][/td][td]Enhance your construction using the [i]Style Bar[/i].[br][/td][/tr][/table]