Aim of th applet
Analyze the variation of the graph of functions of one variable, x, according to a parameter k.
Output data
The user defines the function dependent of variable 'x' and the parameter k to be represented.
Button start / pause animation (varies the parameter 'k'), located in the lower left corner of applet.
Ends of the interval of definition of the function.
Slider of k.
Data outputs
The function
Animation of the parameter 'k'.
Observations
With the button on start mode the value of k varies between -10 and 10.
The ends of the interval of definition of the function can be dragged along the axis X.
First steps
- Draw cos(k*x). For what values of the parameter k yields more ridges?
You can make the animation by clicking on the triangle bottom left of the applet. Draw k*cos(x),
What is the difference between the two graphs?
- Analyze the graph of xk in the interval (0,1) and in the interval [1,2] according to the values of k.
You can move the ends A and B using the mouse.
