You can create a SURFACE OF REVOLUTION by rotating the graph of ANY FUNCTION about the xAxis, and then explore this surface virtually FROM ANY ANGLE within GeoGebra Augmented Reality! [br][br][b]1st step:[/b] Watch the screencast below to see how you can can create such a surface of revolution.[br][br]Here, we first graph the function [math]f\left(x\right)=3\cos\left(0.4x+\pi\right),-3.5\le x\le5[/math]. [br]We then rotate this function about the xAxis (with [i]a[/i] = angle of rotation) using the SURFACE command. [br][b][color=#1e84cc]Notice this surface looks like a fish with open mouth.[br][br][/color][/b]If interested, you can use this pre-made template [url=https://www.geogebra.org/m/qbxbcmqw#material/yt22anmh]that can be found here[/url]. [br]Follow the directions on this page to open in the [color=#1e84cc]GeoGebra 3D Graphing Calculator[/color] on your device.

[b]2nd step:[/b][br][br]Now it's time to explore [b][color=#1e84cc]this surface[/color][/b] in GeoGebra Augmented Reality! [br][br]For a reminder as to how to do this, refer to step (4) [url=https://www.geogebra.org/m/jhcywuqw]within this resource[/url].

[b]What other kinds of every-day, 3D, real-world objects we model with this technique within GeoGebra Augmented Reality? [/b]