# Create and Use a Dynagraph

- Author:
- mark vasicek

- Topic:
- Algebra

## Create and Use a Dynagraph

## Create and Use a Dynagraph

To create a dynagraph, follow these instructions:
1. In a new browser window open geogebra.org and start graphing.
2. Select the Settings icon, show grid, and no grid to hide the grid.
3. Hide the y-axis by selecting Settings, Settings, y-Axis and uncheck the box Show y-Axis.
4. Select the point tool, and place a point on the x-axis. This should be point A.
5. Type in a function. You may start with f(x)=x^2. Later, we will hide this function.
6. We need a second line; so type y=2.
7. You want the output of the function, which is f(x) to show up on the line from step 6. To do this, create a point, B with x-coordinate as the function output, and y-coordinate as 2 (your line from step 6). So, you could type: B=(f(x(A)),2).
8. Create a vector to point from the input value, A to the output value, B by tyuping: vector(A,B)
Now you can move point A and see how point B (the output of the function) responds.
Try changing your function f(x)= to something different. Then explore what happens when you move A.
For example:
f(x)=x
f(x)=x^2
f(x)=x^3
f(x)=|x|
f(x)=floor(x)
f(x)=ceiling(x)
f(x)=round(x)
f(x)=1/x
f(x)=sin(x)
f(x)=cos(x)