Title: 5. Basic Graphing
Course: Use : JKU > Section: Authomath Basic GeoGebra Course

In the first four activities, we learned about the Geometry tools in GeoGebra. Here, we learn how to plot graphs. In this tutorial, we graph the functions and  \( f(x) = e^x \) and then reflect the graph of f about the graph of \(y = x \). Try them yourself first and if you have difficulties, read the Construction Steps below.

Expected Output

Graphing Window

Construction steps

1. To plot the graph of \( f(x) = e^x \), click on the Input bar (right of the + button on the left window) and type  f(x) = e^x , then press the ENTER key on your keyboard.
2. Plot the graph of \( y=x\).
3. Select the Point tool and click on the graph of f. This will plot point A.
4. To plot point B with reverse coordinates as A, type  B = (y(A), x(A)) . The command y(A) returns the y coordinate of A and ﻿ x(A) returns the x coordinate of A.
5. Right-click on B and then select Show Trace.
6. Move point A and observe what happens.

Notes

- To plot points, just type the name of the point and then the coordinates. For example, A = (2,3) for point A on (2,3).
- GeoGebra supports both the y and f(x) notations.

Questions for Discussion

1. How is the trace of point B related to the graph of f and the graph of \( y = x \)?
2. What do you think is the equation of the trace of B?