# Rotating Function Graphs about the xAxis within GeoGebra AR

- Author:
- Tim Brzezinski

## CALCULUS STUDENTS:

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!
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We then rotate this function about the xAxis (with

**1st step:**Watch the screencast below to see how you can can create such a surface of revolution. Here, we first graph the function*a*= angle of rotation) using the SURFACE command.**Notice this surface looks like a fish with open mouth.**If interested, you can use this pre-made template that can be found here. Follow the directions on this page to open in the GeoGebra 3D Graphing Calculator on your device.## 1st Step: Create a Surface of Revolution. (Created on ACER Chrome Tab 10)

**2nd step:**Now it's time to explore

**this surface**in GeoGebra Augmented Reality! For a reminder as to how to do this, refer to step (4) within this resource.

## 2nd Step: Explore in GeoGebra Augmented Reality! (Created on ACER Chrome Tab 10)

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